NEWS.md

```
# pracma NEWS
## pracma 2.3.3 (2021-01-22)
* Forgot to correct URL addresses in the Readme.md file.
## pracma 2.3.2 (2021-01-16)
* Removed and corrected URL addresses from 'http' to 'https'.
## pracma 2.3.1 (2021-01-13)
* 'ellipke' help page: compute circumference of an ellipse.
* 'Mode()' now handling all types of NAs (thx. Michael Henry).
## pracma 2.3.0 (2020-04-09)
* circlefit(): option 'fast' is deprecated and will not be used.
* gammainc(0, a) returns 0, thanks to Mark Chappell for reporting.
* ndims() now returns 1 for vectors and 0 for empty objects.
## pracma 2.2.9 (2019-12-15)
* Changed URL reference of Abramowitz and Stegun (link missing).
* Fixed warning with the 'try' construct in several functions
using 'if(inherits(e, "try-error"))' (help from Bert Gunter).
* Link to R Base HTML help page gave a warning (for Windows).
## pracma 2.2.8 (2019-07-09)
* erfi() returns real values when the input values are all real.
* hypot() now allows for scalar plus numeric vector as inputs.
## pracma 2.2.7 (2019-05-21)
* Polynomial division with polydiv(); for two plynomials
polygcf() finds the greatest common factor; and rootmult()
returns the multiplicity of a polynomial root (or 0).
* polyroots() refines the result of roots() in case of roots
with multiplicities (where roots() is quite inaccurate).
## pracma 2.2.6 (2019-05-02)
* All polynomial functions now accept complex coefficients,
esp. roots() finds roots for complex polynomials.
* Fixed a bug in laguerre() for zeros of complex polynomials.
## pracma 2.2.5 (2019-04-08)
* fsolve() and broyden() are no longer applicable to univariate
functions (Morrison-Sherman formula not working in this case).
* Alias cgmin() and option 'dfree=F' in fminsearch() are removed,
both have been deprecated since half a year.
## pracma 2.2.4 (2018-12-12)
* qpsolve() minimizes quadratic forms such as 0.5*t(x)*x-d*x
with linear quality and inequality constraints.
* fmincon() now has an 'augmented Lagrangian' option with a
'variable metric' approach as inner solver.
## pracma 2.2.3 (2018-12-10)
* linearproj() linear projection onto a linear subspace, and
affineproj() linear projection onto an affine subspace of R^n.
## pracma 2.2.2 (2018-11-30)
* Corrected "length > 1 in coercion to logical" in expm().
## pracma 2.2.1 (2018-11-30)
* fminunc() unconstrained minimization of nonlinear objective
function, based on stripped-down 'Rvmmin' code by John Nash.
* 'fmincon()' minimization of nonlinear objective function with
constraints; wraps suggested package NlcOptim with SQP method.
## pracma 2.2.0 (2018-11-27)
* Reintroduced 'nelder_mead()' and 'hooke_jeeves()'.
* fminsearch() now calls 'Nelder-Mead' or 'Hooke-Jeeves',
i.e., derivative-free methods only; 'dfree=F' gets deprecated.
## pracma 2.1.9 (2018-11-22)
* Renamed 'cgmin()' to its original name 'fletcher_powell',
alias 'cgmin' is deprecated since this version.
* Removed alias 'normest2' that was anyway non-existing.
## pracma 2.1.8 (2018-10-16)
* Corrected a bug in hessenberg() reported by Ben Ubah.
## pracma 2.1.7 (2018-09-24)
* Removed the deprecated 'rortho' function, use randortho() instead.
## pracma 2.1.6 (2018-09-09)
* Si(), Ci() sine and cosine integral functions added.
* Added dot notation for brent(), bisect(), newton(), halley(), and
ridders() -- on request of John Nash for the histRalg project.
## pracma 2.1.4 (2018-01-29)
* shubert() implements one-dimensional Shubert-Piyavskii method.
* fminsearch() and anms() stop for one-dimensional minimization.
## pracma 2.1.3 (2018-01-23)
* bsxfun() now uses sweep() for matrices in search of higher speed.
* direct1d() removed because slow and not effective.
## pracma 2.1.2 (2018-01-21)
* poisson2disk() approximate Poisson disk distribution
* Corrected small bug in findpeaks(), reported by Mike Badescu.
## pracma 2.1.1 (2017-11-21)
* Added a field "Authors@R" in the DESCRIPTION, deleted others.
* Added README.md and NEWS.md (for a future Github repository).
* Needed a new version for resubmitting (because of 'survivalsvm')
## pracma 2.1.0 (2017-11-20)
* Package 'quadprog' is now suggested, not imported; the functions
quadprog() and lsqlincon() work only when 'quadprog' is installed.
## pracma 2.0.9 (2017-09-21)
* Package byte-compiled on loading (Requires R version >= 3.1.0).
## pracma 2.0.8 (2017-09-20)
* findpeaks() function not checking for NAs (reported by Wesley Burr).
* fplot() extra parameters were not handed over to plotting routine.
## pracma 2.0.7 (2017-06-17)
* bernstein() generates the Bernstein polynomial B_,_().
* legendre(n,_) corrected for n=0, thanks to Peter W. Marcy.
* cgmin() alias for fletcher_powell(), a constraint gradient method.
## pracma 2.0.6 (2017-06-06)
* polyvalm() evaluates a polynomial in the matrix sense.
* arnoldi() Arnoldi iteration (incl. Hessenberg matrix).
## pracma 2.0.5 (2017-04-30)
* integral() redesigned, less methods, several starting intervals
with regular or random intermediate nodes (similar to MATLAB).
* quadgr() corrected as functions vectorized with Vectorize() did
not behave as expected with apply(); still needs vectorization.
* Help page of quadgk() did not mention the need for vectorization.
## pracma 2.0.4 (2017-04-01)
* hessenberg() computes the Hessenberg form of a matrix through
Householder transformations (this is named hess() in MATLAB).
## pracma 2.0.3 (2017-03-23)
* Corrected functions with conditions in control statements with
conditions of length greater than one: rem().
## pracma 2.0.2 (2017-02-23)
* isposdef() test for positive definiteness of a (real) matrix.
* hooke_jeeves() removed; similar implementations are available
in packages 'dfoptim::hjk[b]' and 'adagio::hookejeeves'.
## pracma 2.0.1 (2017-02-06)
* nelder_mead() replaced by an adaptive Nelder-Mead implementation,
anms(), following F. Gao and L. Han.
* fminsearch() now calls this new version of Nelder-Mead.
## pracma 2.0.0 (2017-01-26)
* incgam(x,a) computes the incomplete upper gamma function using
the R function pgamma for higher precision than gammainc().
* Corrected a small oversight in hurstexp(), thnx George Ostrouchov.
## pracma 1.9.9 (2017-01-10)
* Slightly changed the description lines on request of CRAN.
## pracma 1.9.8 (2017-01-10)
* whittaker() finally implemented avoiding the sparse matrix package.
* nelder_mead() now applies adaptive parameters for the simplicial
search, depending on the dimension of the problem space.
* psinc(x,n), the so-called periodic sinc function.
## pracma 1.9.7 (2016-12-14)
* shooting() implements the shooting method for boundary value problems
of second order differential equations.
* interp2() corrected the help page with size(z) = length(y)*length(x).
* Corrected a small oversight on the help page of Gauss-Laguerre.
## pracma 1.9.6 (2016-09-11)
* haversine() Haversine formula for geographical distances on earth.
* trigonometric functions accepting degrees instead of inputs in radians:
sind cosd tand cotd secd cscd
asind acosd atand acotd asecd acscd atan2d
## pracma 1.9.5 (2016-09-06)
* fprintf() mimicks MATLAB's function of the same name.
* Added ezsurf(), an easy surface plot following MATLAB.
* fplot() is almost an alias for ezplot(); please note that in future
versions ez...() will be renamed to f...() according MATLAB 2016/17.
## pracma 1.9.4 (2016-07-27)
* rortho() renamed to randortho(), the underlying code was buggy
(not truely random) and has been replaced, thanks to Jan Tuitman.
* an error in the final step of calculating approx_energy() was
corrected, thanks to Daniel Krefl.
## pracma 1.9.3 (2016-05-28)
* bvp() now solves boundary value problems for linear 2nd order ODEs
using a 'finite differences' approach and a tridiagonal solver.
* polyfit2() has been removed, use polyfix() instead.
## pracma 1.9.2 (2016-03-04)
* romberg() corrected an error estimation that diminished the accuracy.
* trapzfun() realizes trapezoidal integration with iterated calculations.
## pracma 1.9.1 (2016-02-15)
* fractalcurve() generates some fractal curves of order n, i.e. the
Hilbert, Sierpinski, Snowflake, Dragon, and Molecule curves.
* ode23(), ode23s() changed the size of the returned components,
now it is similar to what is returned by ode45() and ode78().
* arclength() corrected a boundary condition ('on the left'), added
an example how to generate an arc-length parametrization of a curve.
## pracma 1.9.0 (2015-12-17)
* quadprog() solves quadratic programming problems (QP) with linear
equality and inequality constraints, based on package 'quadprog'.
* lsqlincon() solves linear least-squares problems with linear equality
and inequality constraints (as well as bound constraints).
* pracma now imports package 'quadprog'.
## pracma 1.8.9 (2015-12-05)
* polyfix() fits a polynomial that exactly passes through given
fixed points. polyfit2() will be deprecated in future versions.
* Important bug fix for polyApprox() (thanks to Max Marchi).
## pracma 1.8.8 (2015-10-28)
* Option 'minpeakdistance' for function findpeaks() added
(thanks to Razvan Chereji for providing a workable approach).
## pracma 1.8.7 (2015-07-20)
* Removed invperm().
* 'linear' is now the default method for interp1().
* Cases n = 0, 1 for legendre() corrected (thanks to Nuzhdin Yury).
## pracma 1.8.6 (2015-07-11)
* Removed two non-existing links pointing to Gander's pages at the ETHZ.
* Removed a link explaining approximate entropy.
## pracma 1.8.5 (2015-07-07)
* Added 'Imports' field in description and 'import' in namespace,
as requested for the new R development version.
* strrep() renamed to strRep(), because of a new function in R Base.
## pracma 1.8.4 (2015-06-25)
* bernoulli() calculates the Bernoulli numbers and polynomials.
* factorial2() the product of all even resp. odd integers below n.
## pracma 1.8.3 (2015-02-08)
* Deleted some URLs that were not working properly anymore.
## pracma 1.8.2 (2015-02-07)
* Special functions gathered under topics 'specfun' resp. 'specmat'.
## pracma 1.8.1 (2015-02-06)
* sumalt() accelerating (infinite) alternating sums.
* Option 'fast=FALSE' in circlefit() to avoid optim().
* Added Gauss' AGM-based computation of pi to agmean().
## pracma 1.8.0 (2015-01-26)
* hurstexp() amended for vectors of uneven length.
## pracma 1.7.9 (2014-11-15)
* qpspecial() special quadratic programming solver.
* Reintroduces the 'tol' keyword in fminbnd() for compatibility.
## pracma 1.7.8 (2014-11-10)
* bulirsch_stoer() Bulirsch-Stoer method for solving
*rdinary differential equations with high accuracy.
* midpoint() implements the midpoint rule for solving ODEs
combined with Richardson extrapolation for high accuracy.
## pracma 1.7.7 (2014-11-01)
* lufact() LU factorization with partial pivoting;
lusys() solves linear systems through Gaussian elimination.
## pracma 1.7.6 (2014-10-30)
* ode23s() for stiff ordinary differential equations refining
Rosenbrock's method (supply Jacobian if available).
* euler_heun() Euler-Heun ODE solver has been corrected.
## pracma 1.7.5 (2014-10-20)
* fminbnd() much improved implementation of Brent's method;
added challenging example by Trefethen to the help page.
* lambertWn() for the second (real) branch of Lambert W.
* Function name alias cintegral() removed.
## pracma 1.7.4 (2014-10-13)
* hooke_jeeves() replaced by a much more efficient implementation
and equipped with a special approach to bound constraints.
* nelder_mead() replaced by a much more efficient implementation
and utilizing a transformation to handle bound constraints;
functions nelmin() and nelminb() are not exported anymore.
## pracma 1.7.3 (2014-10-11)
* quadinf() now uses the double exponential method with the
tanh-sinh quadrature scheme for (semi-)infinite intervals.
* Removed the not-exported and too slow .quadcc() function.
* brent() alias for brentDekker(), newton() for newtonRaphson().
## pracma 1.7.2 (2014-09-08)
* pchipfun() function wrapper around pchip();
missing error handling in pchip() was added.
* hurst() removed, functionality merged with hurstexp().
* Nile overflow data set 1871--1984 added as time series.
## pracma 1.7.1 (2014-08-12)
* bits() binary representation of a number as string.
* agmean() returns AGM, no of iterations, and estimated precision.
* trapz() tiny improvement on error handling.
## pracma 1.7.0 (2014-06-30)
* ode45() ODE solver using Dormand-Prince (4,5) coefficients.
* ode78() ODE solver using Fehlberg (7,8) coefficients.
* cintegral() renamed to line_integral().
## pracma 1.6.9 (2014-06-14)
* Version 1.6.8 "Failed to build" on R-Forge.
[Maybe it's time to move pracma to a github repository.]
## pracma 1.6.8 (2014-06-07)
* nelmin() a more efficient and accurate version of Nelder-Mead.
* nelminb() Nelder-Mead in bounded regions (applies a transformation).
## pracma 1.6.7 (2014-05-23)
* trisolve() stopping for singular tridiagonal matrices.
* romberg() slightly improved accuracy and speed.
## pracma 1.6.6 (2014-04-12)
* Corrected rref() (as pointed out by Peter Audano).
## pracma 1.6.5 (2014-02-24)
* lsqnonneg() changed to an active-set approach.
* bisect() trimmed bisection to return almost exact results.
## pracma 1.6.4 (2014-02-05)
* halley() Halley's variant of the Newton-Raphson method.
* numderiv() corrected Richardson's method by breaking the loop.
## pracma 1.6.3 (2014-01-25)
* lambertWp() improved inner accuracy from 1e-12 to 1e-15.
* complexstepJ() renamed to jacobian_csd(); introduced grad_csd().
* hessian_csd() applies Richardson's method as the second step,
and the same for laplacian_csd().
## pracma 1.6.2 (2014-01-19)
* Removed zeroin(); for fzero() a variation of Brent-Dekker is used,
that applies cubic instead of quadratic interpolation.
* Corrected an oversight in newtonRaphson().
* brentDekker() returns a list now.
## pracma 1.6.1 (2014-01-14)
* samp_entropy() complements approx_entropy() for short time series.
* Removed NEWS.Rd and NEWS.pdf in favour of NEWS.
## pracma 1.6.0 (2013-12-06)
* integral3() now handles functions as inner interval limits.
* poly_crossings() calculates crossing points of two polygons.
* erfz() complex error function vectorized (thanks to Michael Lachmann).
## pracma 1.5.9 (2013-11-30)
* muller() implements Muller's root-finding method [Mueller, 1956],
especially suited for polynomials and complex functions.
* Inserted a safeguard for the distmat() function to prevent different
results on Mac OS X, (Ubuntu) Linux, and Windows operating systems.
* Removed pltcross() and kmeanspp().
## pracma 1.5.8 (2013-11-28)
* interp1() with option method ``spline'' now computes Moler's spline
functions, for compatibility with MATLAB (hint by Boudewijn Klijn).
## pracma 1.5.7 (2013-10-11)
* Corrected parameter 'waypoints' in cintegral().
## pracma 1.5.6 (2013-09-22)
* odregress() orthogonal distance (or: total least-squares) regression.
* Changed maintainer name to its long form (CRAN request).
## pracma 1.5.5 (2013-09-11)
* L1linreg() L1 (a.k.a. LAD or median) linear regression.
* geo_median() geometric median (minimizes sum of distances).
## pracma 1.5.4 (2013-08-31)
* rectint() rectangular intersection areas (MATLAB style).
* cumtrapz() cumulative trapezoidal integration (MATLAB style).
* Some corrections to help pages and function names.
## pracma 1.5.3 (2013-08-25)
* arclength() length of a parametrized curve in n-dimensional space,
w/ improved convergence by applying Richardson's extrapolation method.
* legendre() associated Legendre functions (MATLAB style).
## pracma 1.5.2 (2013-08-23)
* poly_center() calculates the center coordinates of a polygon.
* poly_length() calculates the (euclidean) length of a polygon.
* polyarea() corrected, returns the true, not the absolute value.
## pracma 1.5.1 (2013-08-19)
* fsolve() will use broyden() if m = n; fzsolve() the same;
additionally, improved broyden() and gaussNewton().
* ezplot() can draw markers on the line, with equal distances
measured along the curve length.
## pracma 1.5.0 (2013-08-08)
* gmres() generalized minimum residual method.
* nearest_spd() finds nearest symmetric positive-definite matrix.
* eps() floating point relative accuracy.
## pracma 1.4.9 (2013-07-16)
* lapacian() now works in n dimensions, not only for n = 2.
* mldivide(), mrdivide() corrected a severe typo.
* numderiv(), numdiff() start with h = 1/2 instead of h = 1.
* figure() platform-independent by using dev.new().
## pracma 1.4.8 (2013-06-17)
* findzeros() now finds 'quadratic' roots, too.
* pdist2() added as an alias for distmat(),
while pdist(X) now is distmat(X, X) (MATLAB style).
## pracma 1.4.7 (2013-05-20)
* histcc() histogram with optimized number of bins.
* Example of correction term for the trapz() integration.
## pracma 1.4.6 (2013-03-31)
* psi() Psi polygamma function (MATLAB style).
* rosenbrock() and rastrigin() functions removed.
## pracma 1.4.5 (2013-03-21)
* quadcc() new, iterative Clenshaw-Curtis quadrature.
* squareform() formats distance matrix (MATLAB style).
## pracma 1.4.4 (2013-03-12)
* integral2() implements the two-dimensional numerical integration
approach `TwoD', i.e. Gauss-Kronrod (3, 7)-points on rectangles.
* integral3() three-dimensional integration based on integral2().
* triplequad() 3-dim. integration based on dblquad() (MATLAB style).
## pracma 1.4.3 (2013-03-10)
* integral() combines adaptive numerical integration procedures.
* cintegral() complex line integrals (rectangles and curves).
## pracma 1.4.2 (2013-03-03)
* linprog() linear programming solver for linear equality and
inequality constraints.
## pracma 1.4.1 (2013-02-20)
* romberg() Romberg integration completely rewritten.
* idivide() integer division with different roundings.
## pracma 1.4.0 (2013-02-10)
* fderiv(), taylor() expanded to higher orders.
* itersolve() iteration methods for solving linear systems.
* lu() LU decomposition with different schemes (w/o pivoting).
## pracma 1.3.9 (2013-01-26)
* pdist() as an alias for distmat() (MATLAB style).
* fftshift(), ifftshift() shifting Fourier frequencies.
* Improved grad(), jacobian(), hessian(), and laplacian().
## pracma 1.3.8 (2013-01-10)
* Smaller corrections, e.g., removed deprecated 'is.real';
no startup messages anymore.
* geomean(), harmmean(), trimmean() geometric, harmonic, and
trimmed arithmetic mean (MATLAB style).
* agmean() algebraic-geometric mean.
## pracma 1.3.7 (2013-01-07)
* mexpfit() multi-exponentiell fitting, separating linear and
nonlinear parts of the problem.
## pracma 1.3.6 (2013-01-06)
* lsqsep() separable least-squares fitting.
* lsqcurvefit() nonlinear least-squares curve fitting.
## pracma 1.3.5 (2013-01-05)
* cd(), pwd() directory functions (MATLAB style).
* rand(), randn() changed to accept size() as input.
* whos(), what() corrected for empty lists resp. directories.
## pracma 1.3.4 (2012-12-19)
* what(), who(), whos(), ver() (MATLAB style).
* semilogx(), semilogy(), loglog() logarithmic plots (MATLAB style)
## pracma 1.3.3 (2012-12-12)
* quadv() vectorized integration.
* ezpolar() easy access to the polar() function.
* sortrows() sorting rows of matrices (MATLAB style).
* null() alias for nullspace function (MATLAB style).
* eigjacobi() Jacobi's method for eigenvalues and eigenvectors.
## pracma 1.3.2 (2012-12-08)
* ellipke(), ellipj() elliptic and Jacobi elliptic integrals.
* expint() implements E1 and Ei, the exponential integrals, with
aliases expint_E1() and expint_Ei().
* li() the logarithmic integral (w/o offset).
## pracma 1.3.1 (2012-12-06)
* Explicitely listing about 200 MATLAB-emulating function( name)s.
* Dismissed matlab(), using it now for infos only, not assigning any
MATLAB function names to the environment (because of CRAN policies).
## pracma 1.3.0 (2012-12-05)
* cot(), csc(), sec() cotangens, cosecans, and secans functions.
* acot(), acsc(), asec() inverse cotangens, cosecans, secans functions.
* coth(), csch(), sech() hyperbolic cotangens, cosecans, secans functions.
* acoth(), acsch(), asech() inverse hyperbolic cotangens, cosecans, and
secans functions.
## pracma 1.2.9 (2012-12-02)
* bvp() changed to solve second order boundary value problems.
* trisolve() solves tridiagonal linear equation systems.
* curvefit() fits points in the plane with a polynomial curve.
## pracma 1.2.8 (2012-11-30)
* lsqlin() least-squares solver with linear equality constraints.
* pinv() now works like MASS::ginv() for singular matrices.
* Added the end-';' feature to str2num().
* toc() added invisible return value.
## pracma 1.2.7 (2012-11-22)
* procrustes() solving the Procrustes problem,
and kabsch() implements the Kabsch algorithm.
* kriging() ordinary and simple Kriging interpolation.
* Corrected some stupid errors in str2num().
## pracma 1.2.6 (2012-11-11)
* akimaInterp() univariate Akima interpolation.
* Moved transfinite() to package 'adagio'.
## pracma 1.2.5 (2012-10-28)
* histc() Histogram-like counting (MATLAB style).
* Added warning to complexstep() if imaginary part is zero.
## pracma 1.2.4 (2012-10-25)
* Added option 'pinv' to mldivide() to return same results as MATLAB.
* str2num(), num2str() conversion functions (MATLAB style).
* Removed some 'author' entries on help pages.
## pracma 1.2.3 (2012-10-17)
* Renamed mrank() to Rank().
* Corrected nullspace() [thanks to Stephane Laurent], which now agrees
with Octave's null() function (MASS:Null appears buggy, too).
* Corrected gaussNewton() and fsolve() [thanks to Etienne Chamayou].
## pracma 1.2.2 (2012-10-10)
* bsxfun() apply binary function elementwise (MATLAB style).
* added the analytic solution for the example in bvp().
## pracma 1.2.1 (2012-09-28)
* rosenbrock() added, moved testfunctions to 'adagio' package.
* euler_heun() improved Euler method for solving ODEs.
* logit() function added to sigmoid().
* Keyword 'ode' introduced.
## pracma 1.2.0 (2012-09-27)
* matlab() can reinstall MATLAB function names.
## pracma 1.1.9 (2012-09-25)
* gcd(), lcm() greatest common divisor, least common multiple
now working on a vector of integers.
* Removed number-theoretic functions: eulersPhi(),
moebiusFun(), mertensFun(), sigma(), tau(), omega(), Omega(),
primes2(), twinPrimes(), nextPrime(), previousPrime(),
modpower(), modorder(), modinv(), modlin(),
primroot(), contfrac(), coprime(), GCD(), LCM(), extGCD(),
(these functions are now available in the 'numbers' package).
## pracma 1.1.8 (2012-09-19)
* ezcontour(), ezmesh() wrappers for contour(), image(), persp().
* erfi() imaginary error function.
## pracma 1.1.7 (2012-08-06)
* moler() Moler matrix
## pracma 1.1.6 (2012-07-20)
* Removed '.Rapphistory' from the tests directory (again)
[and use "--as-cran" for the checks].
* disp() display text or array (MATLAB Style), i.e. cat() with newline.
## pracma 1.1.5 (2012-07-18)
* Renamed functions with capital first letter to avoid name clashes:
mtrace -> Trace, mdiag -> Diag, strtrim -> strTrim, vnorm -> Norm,
reshape -> Reshape, find -> finds, fix -> Fix, poly ->Poly,
mode -> Mode, real -> Real, imag -> Imag, toeplitz -> Toeplitz.
## pracma 1.1.4 (2012-06-26)
* gammainc() (lower and upper) incomplete gamma function, also the
regularized gamma function, all allowing negative x values.
* polylog() the polylogarithm functions for |z| < 1 and n >= -4 .
## pracma 1.1.3 (2012-06-17)
* fminsearch() now implements Nelder-Mead (similar to optim), and
Fletcher-Powell when "dfree=FALSE" is chosen.
* Test functions rosenbrock() and rastrigin().
## pracma 1.1.2 (2012-06-13)
* nelder_mead() implements Nelder-Mead for nonlinear optimization.
* hooke-jeeves() Hooke-Jeeves algorithm for direct search.
* fletcher_powell() Davidon-Fletcher-Powell method for function
minimization (alternative to BFGS approach).
* steep_descent() minimization of functions using steepest descent.
## pracma 1.1.1 (2012-06-10)
* fminbnd() now implements Brent's function minimization algorithm with
golden section search and parabolic interpolation (same as optimize).
* transfinite() transformation function between bounded and unbounded
(box constraint) regions.
## pracma 1.1.0 (2012-06-06)
* hurst(), hurstexp() calculate the Hurst exponent of a time series.
* Updated the NEWS.Rd file.
## pracma 1.0.9 (2012-06-03)
* lsqnonneg() solves nonnegative least-squares problems by using the
trick "x --> exp(x)" and applying lsqnonlin();
example function lsqcurvefit() for nonlinear curve fitting.
* Renamed ridder() to ridders(), thanks to Robert Monfera for pointing
it out (he also suggested a multi-dimensional variant).
## pracma 1.0.8 (2012-05-22)
* movavg() moving average of types "simple", "weighted", "modified",
"exponential" (EMA), or "triangular".
* modlin() solves modular linear equations.
## pracma 1.0.7 (2012-05-11)
* lsqnonlin() solves nonlinear least-squares problems using the
Levenberg-Marquardt approach.
* renamed froots() to findzeros(), and fmins() to findmins().
## pracma 1.0.6 (2012-04-21)
* fornberg() finite difference (i.e., polynomial) approximation of
derivatives for unevenly spaced grid points -- Fornberg's method.
## pracma 1.0.5 (2012-04-15)
* randsample() randomly sampling, alias for sample (MATLAB style).
* rands() generates uniform random points on an N-sphere.
* Added tic(), toc() measuring elapsed time (MATLAB style).
* previousPrime() finds the next prime below a number.
## pracma 1.0.4 (2012-04-01)
* invlap() computes the inverse Lapacian numerically.
* ppfit() piecewise polynomial fitting procedure.
## pracma 1.0.3 (2012-03-21)
* cubicspline() interpolating cubic spline (w/ endpoint conditions).
* mkpp() and ppval() for piecewise polynomial structures.
## pracma 1.0.2 (2012-03-17)
* accumarray() resembles the related MATLAB function more closely.
* invperm() returns the inverse of a permutation.
* randperm() changed to make it more MATLAB-like.
## pracma 1.0.1 (2012-03-09)
* plotyy() corrected right ordinate, prettying the labels.
* peaks() peaks function (MATLAB style).
## pracma 1.0.0 (2012-03-01)
* Updated the NEWS.Rd file.
## pracma 0.9.9 (2012-02-29)
* qrSolve solves overdetermined system of linear equations.
* DSCsearch() removed, now in package 'pracopt'.
* randp() found a better, non-selective approach.
## pracma 0.9.8 (2012-02-23)
* gramSchmidt() modified Gram-Schmidt process.
* householder() Householder reflections and QR decomposition.
* givens() Givens rotation and QR decomposition.
* corrected a small error in ridder() (thanks to Roger Harbord); new
example of how to use ridder() with Rmpfr for multiple precision.
## pracma 0.9.7 (2012-02-17)
* erf() corrected, erfc() and erfcx() as new functions,
including their inverses erfinv() and erfcinv().
* hypot() now numerically more stable (thanks to Jerry Lewis).
## pracma 0.9.6 (2012-01-25)
* Changed third example for dblquad() [new Windows toolchain problem].
* Deactivated the test for gammaz() because of problems on Solaris.
## pracma 0.9.5 (2012-01-16)
* kmeanspp() kmeans++ clustering algorithm.
* hampel() with new option, fuelled by a blog entry of Ron Pearson.
## pracma 0.9.4 (2012-01-08)
* DSCsearch() Davies-Swann-Campey search in one dimension.
* Improved modpower() through modular exponentiation.
added lehmann_test() Lehmann's primality test as example.
* Corrected polar() and andrewsplot().
## pracma 0.9.3 (2011-12-27)
* direct1d() one-dimensional version of the DIRECT algorithm for
global function minimization.
## pracma 0.9.2 (2011-12-26)
* approx_entropy() approximate entropy of a time series.
* circshift() circularly shifting arrays (MATLAB Style).
## pracma 0.9.1 (2011-12-12)
* plotyy() plots curves with y-axes on both left and right side.
* fplot() plots components of a multivariate function.
## pracma 0.9.0 (2011-12-11)
* errorbar() routine for plotting error bars in both directions.
* whittaker() Whittaker-Henderson smoothing** Not yet running** .
* rref() reduced row echelon form.
## pracma 0.8.9 (2011-12-08)
* cutpoints() automatically finds cutting points based on gaps.
* hausdorff_dist calculates the Hausdorff distance / Hausdorff dimension.
* nnz() number of non-zeros elements (MATLAB style).
## pracma 0.8.8 (2011-12-06)
* polar() for polar plots (MATLAB style), see the example plots.
* andrewsplot() plots Andrews curves in polar coordinates.
* Vectorized: cart2sph(), sph2cart(), cart2pol(), pol2cart().
## pracma 0.8.7 (2011-11-30)
* deg2rad(), rad2deg().
* figure() MATLAB style and pltcross() plotting crosses.
## pracma 0.8.6 (2011-11-21)
* ridder() Ridder's method for zero finding of univariate functions.
## pracma 0.8.5 (2011-11-19)
* sqrtm() matrix square root, based on Denman-Beavers iteration,
rootm() matrix p-th root, computing a complex contour integral,
signm() matrix sign function.
o fzero() now uses the new zeroin() function,
i.e., a Brent-Dekker approach instead of refering to uniroot().
* twinPrimes() twin primes in a given interval, and nextPrime()
will find the next higher prime.
## pracma 0.8.4 (2011-11-14)
* Transformations between cartesian, spherical, polar and cylindrical
coordinate systems: cart2sph(), sph2cart(), cart2pol(), pol2cart().
* randp() uniformly random points in the unit circle.
## pracma 0.8.3 (2011-11-11)
* accumarray() grouping elements and applying a function to each group.
* uniq() MATLAB-style 'unique' function, allsums() in the examples.
* small correction to fsolve(), mentioned on the 'check summary' page.
## pracma 0.8.2 (2011-11-04)
* newmark() Newmark's method for solving second order differential
equations of the form y''(t) = f(t, y(t), y'(t)) on [t1, t2].
* cranknic() Crank-Nicolson 'ivp' solver, combining the forward and
backward Euler methods for ordinary differential equations.
## pracma 0.8.1 (2011-10-30)
* Corrected pinv() for (nearly) singular matrices.
* Renamed ifactor() to factors().
## pracma 0.8.0 (2011-10-27)
* Minor corrections and improvements to the 'pracma.pdf' manual,
incl. numdiff(), refindall(), trigApprox(), and subspace().
## pracma 0.7.9 (2011-10-22)
* spinterp() monotonic (and later on shape-preserving) interpolation
following the approach of Delbourgo and Gregory.
## pracma 0.7.8 (2011-10-17)
* bvp() solves boundary value problems of the following kind:
-u''(x) + c1 u'(x) + c2 u(x) = f(x) for x in [a, b].
## pracma 0.7.7 (2011-10-14)
* primes2(n1, n2) will return all prime numbers betweeen n1 and n2
(without storing the numbers from sqrt(n2) up to n2).
## pracma 0.7.6 (2011-08-05)
* gaussNewton() for function minimization and solving systems of
nonlinear equations. fsolve() as a wrapper for it.
* fzsolve() for root finding of complex functions.
* softline() Fletcher's inexact linesearch algorithm.
## pracma 0.7.5 (2011-07-26)
* Put NEWS.Rd in the /inst subdirectory (and NEWS.pdf in /doc),
thanks to Kurt Hornik; slightly changed the version numbering.
## pracma 0.7-4 (2011-07-22)
* rortho() generate random orthogonal matrix of size n.
* Titanium data set for testing fitting procedures.
## pracma 0.7-3 (2011-07-15)
* erf() and erfc() error and complementary error functions
(MATLAB style) as (almost) aliases for pnorm().
* erfz() complex error function.
## pracma 0.7-2 (2011-07-11)
* broyden() quasi-Newton root finding method for systems of nonlinear
equations.
## pracma 0.7-1 (2011-07-09)
* cross() has been vectorized (remark on R-help).
## pracma 0.7-0 (2011-07-07)
* Sigmoid and Einstein functions.
## pracma 0.6-9 (2011-07-06)
* Runge-Kutta-Fehlberg method of order (5,4).
## pracma 0.6-8 (2011-07-05)
* triquad() Gaussian quadrature over triangles.
* cotes() Newton-Cotes integration formulae for 2 to 8 nodes.
## pracma 0.6-7 (2011-07-04)
* lagrangeInterp(), newtonInterp() Lagrange and Newton polynomial
interpolation, neville() Neville's methods.
* tril(), triu() extracting triangular matrices (MATLAB style).
## pracma 0.6-6 (2011-07-02)
* charpoly() computes the characteristic polynomial, the determinant,
and the inverse for matrices that are relativly small, applying the
Faddejew-Leverrier method.
* froots() to find *all* roots (also of second or higher order) of
a univariate function in a given interval. The same with fmins()
to find *all* minima.
## pracma 0.6-5 (2011-07-01)
* Adams-Bashford and Adams-Moulton (i.e., multi-step) methods
for ordinary differential equations in function abm3pc().
## pracma 0.6-4 (2011-06-30)
* Changed the description to be more precise about the package.
## pracma 0.6-3 (2011-06-28)
* rationalfit() rational function approximation
* ratinterp() rational interpolation a la Burlisch-Stoer.
## pracma 0.6-2 (2011-06-26)
* pade() Pade approximation.
## pracma 0.6-1 (2011-06-25)
* quadgk() adaptive Gauss-Kronrod quadrature.
## pracma 0.6-0 (2011-06-24)
* Added differential equation example to expm()'s help page.
* Changed NEWS file to become simpler (no subsections).
## pracma 0.5-9 (2011-06-23)
* quadl() recursive adaptive Gauss-Lobatto quadrature.
* simpadpt() another recursively adaptive Simpson's rule.
* Added testing procedures for all integration routines;
corrected, refined some of these procedures.
## pracma 0.5-8 (2011-06-20)
* quadgr() Gaussian Quadrature with Richardson extrapolation, can
handle singularities at endpoints and (half-)infinite intervals.
## pracma 0.5-7 (2011-06-18)
* expm() for matrix exponentials.
* clenshaw_curtis() the Clenshaw-Curtis quadrature formula.
## pracma 0.5-6 (2011-06-17)
* simpson2d() as non-adaptive 2-dimensional Simpson integration.
* dblquad() twofold application of internal function integrate().
## pracma 0.5-5 (2011-06-15)
* gaussHermite() and gaussLaguerre() for infinite intervals.
* Fresnel integrals fresnelS() and frenelC().
## pracma 0.5-4 (2011-06-12)
* gaussLegendre() computes coefficients for Gauss Quadrature,
and quad2d() uses these weights for 2-dimensional integration.
* quadinf() wrapper for integrate() on infinite intervals.
## pracma 0.5-3 (2011-06-06)
* ode23() solving first order (systems of) differential equations.
* barylag2d() 2-dimensional barycentric Lagrange interpolation.
## pracma 0.5-2 (2011-06-04)
* interp2() for two-dimensional interpolation.
* gradient() now works in two dimensions too.
## pracma 0.5-1 (2011-06-01)
* fzero(), fminbnd(), fminsearch(), fsolve() as aliases for
uniroot(), optimize(), optim() with Nelder-Mead, newtonsys().
## pracma 0.5-0 (2011-05-31)
* Corrections to help pages.
## pracma 0.4-9 (2011-05-30)
* romberg() and gauss_kronrod() for numerical integration.
* Richardson's extrapolation in numderiv(), numdiff().
* Discrete numerical derivatives (one dimension): gradient().
## pracma 0.4-8 (2011-05-28)
* Numerical function derivatives: fderiv(), grad().
* Specialized operators: hessian(), laplacian().
* Application: taylor().
## pracma 0.4-7 (2011-05-27)
* plot vector fields: quiver() and vectorfield().
* findintervals().
* Corrections in deval(), deeve(), using findintervals().
## pracma 0.4-6 (2011-05-26)
* Laguerre's method laguerre().
* rk4() and rk4sys() classical fourth order Runge-Kutta.
* deval(), deeve() evaluate ODE solutions.
## pracma 0.4-5 (2011-05-24)
* Lebesgue coefficient: lebesgue().
* poly2str() for string representation of a polynomial.
## pracma 0.4-4 (2011-05-23)
* Dirichlet's eta() and Riemann's zeta() function.
* rmserr() different accuracy measures; std_err() standard error.
## pracma 0.4-3 (2011-05-22)
* polypow() and polytrans() for polynomials.
* polyApprox() polynomial approximation using Chebyshev.
* trigPoly(), trigApprox() for trigonometric regression.
## pracma 0.4-2 (2011-05-17)
* segm_intersect() and segm_distance() segment distances.
* inpolygon().
## pracma 0.4-1 (2011-05-13)
* polyadd() polynomial addition.
* conv() and deconv() time series (de)convolution.
* detrend() removes (piecewise) linear trends.
* ifft() for normalized inverse Fast Fourier Transform.
## pracma 0.4-0 (2011-05-10)
* Added tests for functions since version 0.3-7.
## pracma 0.3-9 (2011-05-09)
* and() and or().
## pracma 0.3-8 (2011-05-06)
* pchip() and option `cubic' for interp1() interpolation.
* The complex gamma functions gammaz().
* hadamard() and toeplitz() matrices.
## pracma 0.3-7 (2011-05-04)
* Rank of a matrix, mrank(), and nullspace() for the kernel.
* orth(), orthogonal basis of the image space, and subspace()
determines the angle between two subspaces.
* normest() for estimating the (Frobenius) norm of a matrix, and
cond() determines the condition number of a matrix.
## pracma 0.3-6 (2011-04-30)
* fact(), more accurate than the R internal function `factorial'.
* ezplot() as an alias for curve(), but with option ``fill = TRUE''.
* aitken() for accelerating iterations.
* Renamed polycnv() to polymul().
* Renamed outlierMAD() to hampel().
## pracma 0.3-5 (2011-04-23)
* Lambert W function lambertWp() for the real principal branch.
* ``Complex Step'' derivation with complexstep() and complexstepJ().
## pracma 0.3-4 (2011-04-21)
* Barycentric Lagrange interpolation through barylag().
* polyfit2() fits a polynomial that exactly meets one additional point.
* Added more references to the help entry `pracma-package.Rd'.
## pracma 0.3-3 (2011-04-19)
* hornerdefl() for also returning the deflated polynomial.
* newtonHorner() combining Newton's method and the Horner scheme
for root finding for polynomials.
* jacobian() computes the Jacobian of a function R^n --> R^m as simple
numerical derivative.
* newtonsys() applies Newton's method to functions R^n --> R^n with
special application to root finding of complex functions.
* newton() renamed to newtonRaphson().
## pracma 0.3-2 (2011-04-17)
* Sorting functions: bubbleSort(), insertionSort(), selectionSort(),
shellSort(), heapSort(), mergeSort(), mergeOrdered(), quickSort(),
quickSortx(), is.sorted(), and testSort().
* Functions from number theory: eulersPhi(), moebiusFun() and the
mertensFun(), sigma(), tau(), omega(), and Omega().
## pracma 0.3-1 (2011-04-16)
* Chebyshev polynomials of the first kind: chebPoly(), chebCoeff(),
and chebApprox().
## pracma 0.3-0 (2011-04-09)
* New version of NEWS.Rd, NEWS.pdf.
* More test functions for root finding and quadrature.
## pracma 0.2-9
* fnorm() and the Runge function runge().
* contfrac(), rat(), and rats() for continuous fractions.
* meshgrid() and magic().
## pracma 0.2-8
* quad() adaptive Simpson quadrature.
* Minimum finding with fibsearch() and golden_ratio().
* Root finding with newton(), secant(), and brentDekker().
## pracma 0.2-7
* Regular expression functions regexp(), regexpi(), regexprep() and
refindall().
## pracma 0.2-6
* String functions blanks(), strtrim(), deblank(), strjust(), strrep().
* interp1() one-dimensional interpolation (incl. spline)
## pracma 0.2-5
* MATLAB functions mode(), clear() and beep().
## pracma 0.2-4
* primroot() finds the smallest primitive root modulo a given n;
needed functions are modpower() and modorder().
* humps() and sinc(): MATLAB test functions.
* Root finding through bisection: bisect(), regulaFalsi().
* outlierMAD(), findpeaks(), and piecewise().
* polycnv() for polynomial multiplication.
* Functions extgcd(), gcd(), and lcm() have been renamed to extGCD(),
GCD(), and LCM() respectively.
## pracma 0.2-3
* strfind(), strfindi(), and findstr().
* circlefit() fitting a circle to plane points.
* mldivide() and mrdivide(), emulating the MATLAB backslash operator.
## pracma 0.2-2
* vnorm() vector norm
* Warning about a nasty "non-ASCII input" in the savgol.RD file resolved.
## pracma 0.2-1 (2011-03-17)
* horner() implementing the horner scheme for evaluating a polynomial
and its derivative.
* savgol() Savitzki-Golay smoothing and needed pseudoinverse pinv().
## pracma 0.2-0
* Package renamed to 'pracma' to avoid name clashes with packages
such as 'matlab' that are sticking closer to the original.
* Added 'pracma-package' section to the manual.
## pracma 0.1-9 (2011-03-13)
* reshape(), repmat(), and blkdiag() matrix functions.
* combs() chooses all combinations of k elements out of n, and
randcomb() generates a random selection.
* perms() generates all permutations, randperm() a random permutation.
* Pascal triangle as pascal(); nchoosek() returns binomial coefficients.
* Some string functions: strcmp(), strcmpi(), strcat().
## pracma 0.1-8 (2011-03-10)
* std() as refinement of the standard deviation function.
* ceil() and fix() as aliases for ceiling() and trunc().
[floor() and round() already exist in R.]
* Modulo functions mod(), rem() and integer division idiv().
* Integer functions related to the Euclidean algorithm:
extgcd(), gcd(), lcm(), coprime(), and modinv().
* distmat() and crossn(), the vector product in n-dimensional space.
## pracma 0.1-7 (2011-03-08)
* size(), numel(), ndims(), isempty(), and find().
* eye(), ones(), zeros().
* Functions returning random numbers: rand(), randn(), randi().
* linspace(), logspace(), and logseq() for linearly, logarithmically,
and exponentially spaced sequences.
## pracma 0.1-6 (2011-03-06)
* Matrix functions mdiag() and mtrace() added.
inv() is introduced as an alias for solve() in R.
* Generate special matrices hankel(), rosser(), and wilkinson().
kron() is an alias for the R function kronecker().
* Renamed factors() to ifactor() to distinguish it more clearly
from factors as used in R.
## pracma 0.1-5
* Added function for flipping or rotating numeric and complex
matrices: flipdim(). flipud(), fliplr(), and rot90().
## pracma 0.1-4
* Added functions for generating sequences of (log-)linearly spaced
numeric values: linspace() and logspace().
* Added basic complex functions real(), imag(), conj(), and angle()
which are essentially only aliases of the R functions Re(), Im(),
*r Conj().
angle() returns the angle of a complex number in radians. The R
function Mod() is here only available as abs().
## pracma 0.1-3 (2011-02-20)
* Added compan() function for the `companion' matrix;
the eig() function is an alias for the R eigen()values function.
* Added the polynomial functions poly(), polyder(), polyfit(),
polyint(), and polyval().
* roots() returns real and complex roots of polynomials.
* Simplified the trapz() function.
## pracma 0.1-2
* Added functions from number theory: primes(), isprime() and factors().
The corresponding function for factors() in MATLAB/Octave is called
factor(), but that name should not be shadowed in R!
* Added the polyarea() and trapz() functions.
## pracma 0.1-1
* Added some simple functions such as nthroot(), pow2(), and nextpow2().
* dot() and cross() functions for scalar and vector product.
* Generate matrices through vander() and hilb().
## pracma 0.1-0 (Initial Version)
### INSTALLATION
* 'pracma' will be a pure R package without using any source code.
Therefore, installation will be immediate on all platforms.
### INTENTION
* This package provides R implementations of more advanced math
functions from MATLAB and Octave (and the Euler Math Toolbox)
with a special view on optimization and time series routines.
```