Raw File
Tip revision: a7001ff1805634d18a10fa371b38dbe3e48f8c9e authored by HwB on 30 October 2011, 00:00:00 UTC
version 0.8.1
Tip revision: a7001ff
  pracma                                                                NEWS


    o ode45() implementing the approach by Dormand and Prince.
      [Matlab's ode23() is based on Bogacki and Shampine.]

    o newmark() Newmark's method for solving second order differential
      equations of the form  y''(t) = f(t, y(t), y'(t)) on [t1, t2].

    o cranknic() Crank-Nicolson 'ivp' solver, combining the forward and
      backward Euler methods for ordinary differential equations.

CHANGES IN VERSION 0.8.1 (2011-10-31)

    o Corrected pinv() for (nearly) singular matrices.

    o Renamed ifactor() to factorize().

CHANGES IN VERSION 0.8.0 (2011-10-27)

    o Minor corrections and improvements to the 'pracma.pdf' manual,
    incl. numdiff(), refindall(), trigApprox(), and subspace().

CHANGES IN VERSION 0.7.9 (2011-10-22)

    o spinterp() monotonic (and later on shape-preserving) interpolation
      following the approach of Delbourgo and Gregory.

CHANGES IN VERSION 0.7.8 (2011-10-17)

    o bvp() solves boundary value problems of the following kind:
      -u''(x) + c1 u'(x) + c2 u(x) = f(x) for x in [a, b]. 

CHANGES IN VERSION 0.7.7 (2011-10-14)

    o primes2(n1, n2) will return all prime numbers betweeen n1 and n2
      (without storing the numbers from sqrt(n2) up to n1).

    o Another change to the NEWS.Rd file.

CHANGES IN VERSION 0.7.6 (2011-08-05)

    o gaussNewton() for function minimization and solving systems of
      nonlinear equations. fsolve() as a wrapper for it.

    o fzsolve() for root finding of complex functions.

    o softline() Fletcher's inexact linesearch algorithm.

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

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.


    o fnorm() and the Runge function runge().

    o contfrac(), rat(), and rats() for continuous fractions.

    o meshgrid() and magic().


    o quad() adaptive Simpson quadrature.

    o Minimum finding with fibsearch() and golden_ratio().

    o Root finding with newton(), secant(), and brentDekker().


    o Regular expression functions regexp(), regexpi(), regexprep() and


    o String functions blanks(), strtrim(), deblank(), strjust(),
      and strrep().

    o interp1() one-dimensional interpolation (incl. spline)


    o Matlab functions mode(), clear() and beep().


    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.


    o strfind(), strfindi(), and findstr().

    o circlefit() fitting a circle to plane points.

    o mldivide() and mrdivide(), emulating the Matlab backslash operator.


    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().



    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.


    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().


    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.


    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.


    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.


    o Added function for flipping or rotating numeric and complex
      matrices: flipdim(). flipud(), fliplr(), and rot90().


    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().


    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.


    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.


    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().



    o `matlab4r' will be a pure R package without using any source code.
      Therefore, installation will be immediate on all platforms.


    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.
back to top