https://github.com/cran/pracma
Tip revision: 6b5162225f1e90f742ac53c32bf06c8053cff577 authored by HwB on 26 July 2011, 00:00:00 UTC
version 0.7.5
version 0.7.5
Tip revision: 6b51622
NEWS
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pracma NEWS
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PLANNED FOR NEXT VERSION
o ode45() implementing the approach by Dormand and Prince.
[Matlab's ode23() is based on Bogacki and Shampine.]
o Hash functions (Python style), see "?hash".
CHANGES IN VERSION 0.7.5 (2011-07-26)
o Put NEWS.RD in the /inst subdirectory (and NEWS.pdf in /doc),
thanks to Kurt Hornik; slightly changed the version numbering.
CHANGES IN VERSION 0.7-4 (2011-07-22)
o rortho() generate random orthogonal matrix of size n.
o Titanium data set for testing fitting procedures.
CHANGES IN VERSION 0.7-3 (2011-07-15)
o erf() and erfc() error and complementary error functions
(Matlab style) as (almost) aliases for pnorm().
o erfz() complex error function.
CHANGES IN VERSION 0.7-2 (2011-07-11)
o broyden() quasi-Newton root finding method for systems of nonlinear
equations.
CHANGES IN VERSION 0.7-1 (2011-07-09)
o cross() has been vectorized (remark on R-help).
CHANGES IN VERSION 0.7-0 (2011-07-07)
o Sigmoid and Einstein functions.
o Updated NEWS.RD, NEWS.pdf
CHANGES IN VERSION 0.6-9 (2011-07-06)
o Runge-Kutta-Fehlberg method of order (5,4).
CHANGES IN VERSION 0.6-8 (2011-07-05)
o triquad() Gaussian quadrature over triangles.
o cotes() Newton-Cotes integration formulae for 2 to 8 nodes.
CHANGES IN VERSION 0.6-7 (2011-07-04)
o lagrangeInterp(), newtonInterp() Lagrange and Newton polynomial
interpolation, neville() Neville's methods.
o tril(), triu() extracting triangular matrices (Matlab style).
CHANGES IN VERSION 0.6-6 (2011-07-02)
o charpoly() computes the characteristic polynomial, the determinant,
and the inverse for matrices that are relativly small, applying the
Faddejew-Leverrier method.
o 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.
CHANGES IN VERSION 0.6-5 (2011-07-01)
o Adams-Bashford and Adams-Moulton (i.e., multi-step) methods
for ordinary differential equations in function abm3pc().
CHANGES IN VERSION 0.6-4 (2011-06-30)
o Changed the description to be more precise about the package.
o droplet_e() generation of digits for the Euler number.
(Should be followed by a function droplet_pi().)
CHANGES IN VERSION 0.6-3 (2011-06-28)
o rationalfit() rational function approximation
o ratinterp() rational interpolation a la Burlisch-Stoer.
CHANGES IN VERSION 0.6-2 (2011-06-26)
o pade() Pade approximation.
CHANGES IN VERSION 0.6-1 (2011-06-25)
o quadgk() adaptive Gauss-Kronrod quadrature.
CHANGES IN VERSION 0.6-0 (2011-06-24)
o muller() Muller's root finding method.
o Added differential equation example to expm()'s help page.
o Changed NEWS file to become simpler (no subsections);
updated the NEWS.Rd, NEWS.pdf files.
CHANGES IN VERSION 0.5-9 (2011-06-23)
o quadl() recursive adaptive Gauss-Lobatto quadrature.
o simpadpt() another recursively adaptive Simpson's rule.
o Added testing procedures for all integration routines;
corrected, refined some of these procedures.
CHANGES IN VERSION 0.5-8 (2011-06-20)
o quadgr() Gaussian Quadrature with Richardson extrapolation, can
handle singularities at endpoints and (half-)infinite intervals.
CHANGES IN VERSION 0.5-7 (2011-06-18)
o expm() for matrix exponentials.
o clenshaw_curtis() the Clenshaw-Curtis quadrature formula.
CHANGES IN VERSION 0.5-6 (2011-06-17)
o simpson2d() as non-adaptive 2-dimensional Simpson integration.
o dblquad() twofold application of internal function integrate().
CHANGES IN VERSION 0.5-5 (2011-06-15)
o gaussHermite() and gaussLaguerre() for infinite intervals.
o Fresnel integrals fresnelS() and frenelC().
CHANGES IN VERSION 0.5-4 (2011-06-12)
o gaussLegendre() computes coefficients for Gauss Quadrature,
and quad2d() uses these weights for 2-dimensional integration.
o quadinf() wrapper for integrate() on infinite intervals.
o Added a version for rapid pi computation to the agm() examples.
CHANGES IN VERSION 0.5-3 (2011-06-06)
o ode23() solving first order (systems of) differential equations.
o barylag2d() 2-dimensional barycentric Lagrange interpolation.
CHANGES IN VERSION 0.5-2 (2011-06-04)
o interp2() for two-dimensional interpolation.
o gradient() now works in two dimensions too.
CHANGES IN VERSION 0.5-1 (2011-06-01)
o fzero(), fminbnd(), fminsearch(), fsolve() as aliases for
uniroot(), optimize(), optim() with Nelder-Mead, newtonsys().
CHANGES IN VERSION 0.5-0 (2011-05-31)
o Corrections to help pages.
CHANGES IN VERSION 0.4-9 (2011-05-30)
o romberg() and gauss_kronrod() for numerical integration.
o Richardson's extrapolation in numderiv(), numdiff().
o Discrete numerical derivatives (one dimension): gradient().
CHANGES IN VERSION 0.4-8 (2011-05-28)
o Numerical function derivatives: fderiv(), grad().
o Specialized operators: hessian(), laplacian().
o Application: taylor().
CHANGES IN VERSION 0.4-7 (2011-05-27)
o plot vector fields: quiver() and vectorfield().
o findintervals().
o Corrections in deval(), deeve(), using findintervals().
CHANGES IN VERSION 0.4-6 (2011-05-26)
o Laguerre's method laguerre().
o rk4() and rk4sys() classical fourth order Runge-Kutta.
o deval(), deeve() evaluate ODE solutions.
CHANGES IN VERSION 0.4-5 (2011-05-24)
o Lebesgue coefficient: lebesgue().
o poly2str() for string representation of a polynomial.
CHANGES IN VERSION 0.4-4 (2001-05-23)
o Dirichlet's eta() and Riemann's zeta() function.
o rmserr() different accuracy measures; std_err() standard error.
CHANGES IN VERSION 0.4-3 (2001-05-22)
o polypow() and polytrans() for polynomials.
o polyApprox() polynomial approximation using Chebyshev.
o trigPoly(), trigApprox() for trigonometric regression.
CHANGES IN VERSION 0.4-2 (2001-05-17)
o segm_intersect() and segm_distance() segment distances.
o inpolygon().
CHANGES IN VERSION 0.4-1 (2011-05-13)
o polyadd() polynomial addition.
o conv() and deconv() time series (de)convolution.
o detrend() removes (piecewise) linear trends.
o ifft() for normalized inverse Fast Fourier Transform.
CHANGES IN VERSION 0.4-0 (2011-05-10)
o Added tests for functions since version 0.3-7.
CHANGES IN VERSION 0.3-9 (2011-05-09)
o and() and or().
CHANGES IN VERSION 0.3-8 (2011-05-06)
o pchip() and option `cubic' for interp1() interpolation.
o The complex gamma functions gammaz().
o hadamard() and toeplitz() matrices.
CHANGES IN VERSION 0.3-7 (2011-05-04)
o Rank of a matrix, mrank(), and nullspace() for the kernel.
o orth(), orthogonal basis of the image space, and subspace()
determines the angle between two subspaces.
o normest() for estimating the (Frobenius) norm of a matrix, and
cond() determines the condition number of a matrix.
CHANGES IN VERSION 0.3-6 (2011-04-30)
o fact(), more accurate than the R internal function `factorial'.
o ezplot() as an alias for curve(), but with option ``fill = TRUE''.
o aitken() for accelerating iterations.
o Renamed polycnv() to polymul().
o Renamed outlierMAD() to hampel().
CHANGES IN VERSION 0.3-5 (2011-04-23)
o agm() for the arithmetic-geometric mean.
o Lambert W function lambertWp() for the real principal branch.
o ``Complex Step'' derivation with complexstep() and complexstepJ().
CHANGES IN VERSION 0.3-4 (2011-04-21)
o Barycentric Lagrange interpolation through barylag().
o polyfit2() fits a polynomial that exactly meets one additional point.
o Added more references to the help entry `pracma-package.Rd'.
CHANGES IN VERSION 0.3-3 (2011-04-19)
o hornerdefl() for also returning the deflated polynomial.
o newtonHorner() combining Newton's method and the Horner scheme
for root finding for polynomials.
o jacobian() computes the Jacobian of a function R^n --> R^m as simple
numerical derivative.
o newtonsys() applies Newton's method to functions R^n --> R^n with
special application to root finding of complex functions.
o newton() renamed to newtonRaphson().
CHANGES IN VERSION 0.3-2 (2011-04-17)
o Sorting functions: bubbleSort(), insertionSort(), selectionSort(),
shellSort(), heapSort(), mergeSort(), mergeOrdered(), quickSort(),
quickSortx(), is.sorted(), and testSort().
o Functions from number theory: eulersPhi(), moebiusFun() and the
mertensFun(), sigma(), tau(), omega(), and Omega().
CHANGES IN VERSION 0.3-1 (2011-04-16)
o Chebyshev polynomials of the first kind: chebPoly(), chebCoeff(),
and chebApprox().
CHANGES IN VERSION 0.3-0 (2011-04-09)
o New version of news.Rd, news.pdf.
o More test functions for root finding and quadrature.
CHANGES IN VERSION 0.2-9
o fnorm() and the Runge function runge().
o contfrac(), rat(), and rats() for continuous fractions.
o meshgrid() and magic().
CHANGES IN VERSION 0.2-8
o quad() adaptive Simpson quadrature.
o Minimum finding with fibsearch() and golden_ratio().
o Root finding with newton(), secant(), and brentDekker().
CHANGES IN VERSION 0.2-7
o Regular expression functions regexp(), regexpi(), regexprep() and
refindall().
CHANGES IN VERSION 0.2-6
o String functions blanks(), strtrim(), deblank(), strjust(),
and strrep().
o interp1() one-dimensional interpolation (incl. spline)
CHANGES IN VERSION 0.2-5
o Matlab functions mode(), clear() and beep().
CHANGES IN VERSION 0.2-4
o primroot() finds the smallest primitive root modulo a given n;
needed functions are modpower() and modorder().
o humps() and sinc(): Matlab test functions.
o Root finding through bisection: bisect(), regulaFalsi().
o outlierMAD(), findpeaks(), and piecewise().
o polycnv() for polynomial multiplication.
o Functions extgcd(), gcd(), and lcm() have been renamed to extGCD(),
GCD(), and LCM() respectively.
CHANGES IN VERSION 0.2-3
o strfind(), strfindi(), and findstr().
o circlefit() fitting a circle to plane points.
o mldivide() and mrdivide(), emulating the Matlab backslash operator.
CHANGES IN VERSION 0.2-2
o vnorm() vector norm
o Warning about a nasty "non-ASCII input" in the savgol.RD file
has been resolved.
CHANGES IN VERSION 0.2-1 (2011-03-17)
o horner() implementing the horner scheme for evaluating a polynomial
and its derivative.
o savgol() Savitzki-Golay smoothing and needed pseudoinverse pinv().
RESTARTED AS VERSION 0.2-0
NAME CHANGE
o Package renamed to 'pracma' to avoid name clashes with packages
such as 'matlab' that are sticking closer to the original.
o Added 'pracma-package' section to the manual.
CHANGES IN VERSION 0.1-9
o reshape(), repmat(), and blkdiag() matrix functions.
o combs() chooses all combinations of k elements out of n, and
randcomb() generates a random selection.
o perms() generates all permutations, randperm() a random permutation.
o Pascal triangle as pascal(); nchoosek() returns binomial coefficients.
o Some string functions: strcmp(), strcmpi(), strcat().
CHANGES IN VERSION 0.1-8
o std() as refinement of the standard deviation function.
o ceil() and fix() as aliases for ceiling() and trunc().
[floor() and round() already exist in R.]
o Modulo functions mod(), rem() and integer division idiv().
o Integer functions related to the Euclidean algorithm:
extgcd(), gcd(), lcm(), coprime(), and modinv().
o distmat() and crossn(), the vector product in n-dimensional space.
CHANGES IN VERSION 0.1-7
o size(), numel(), ndims(), isempty(), and find().
o eye(), ones(), zeros().
o Functions returning random numbers: rand(), randn(), randi().
o linspace(), logspace(), and logseq() for linearly, logarithmically,
and exponentially spaced sequences.
CHANGES IN VERSION 0.1-6
o Matrix functions mdiag() and mtrace() added. inv() is introduced
as an alias for solve() in R.
o Generate special matrices hankel(), rosser(), and wilkinson().
kron() is an alias for the R function kronecker().
o Renamed factors() to ifactor() to distinguish it more clearly from
factors as used in R.
CHANGES IN VERSION 0.1-5
o Added function for flipping or rotating numeric and complex
matrices: flipdim(). flipud(), fliplr(), and rot90().
CHANGES IN VERSION 0.1-4
o Added functions for generating sequences of (log-)linearly spaced
numeric values: linspace() and logspace(). Note that the functions
in the `matlab' package are not exactly mimicking the corresponding
Matlab/Octave functions.
o Added basic complex functions real(), imag(), conj(), and angle()
which are essentially only aliases of the R functions Re(), Im(),
or Conj().
angle() returns the angle of a complex number in radians. The R
function Mod() is here only available as abs().
CHANGES IN VERSION 0.1-3
o Added compan() function for the `companion' matrix; the eig() function
is an alias for the R eigen()values function.
o Added the polynomial functions poly(), polyder(), polyfit(),
polyint(), and polyval().
o roots() returns real and complex roots of polynomials.
o Simplified the trapz() function.
CHANGES IN VERSION 0.1-2
o 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!
o Added the polyarea() and trapz() functions.
CHANGES IN VERSION 0.1-1
o Added some simple functions such as nthroot(), pow2(), and nextpow2().
o dot() and cross() functions for scalar and vector product.
o Generate matrices through vander() and hilb().
INITIAL VERSION 0.1-0
INSTALLATION
o `matlab4r' will be a pure R package without using any source code.
Therefore, installation will be immediate on all platforms.
INTENTION
o 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.
