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Highlights from
The Matrix Computation Toolbox

adsmax(f, x, stopit, savit, P... ADSMAX Alternating directions method for direct search optimization.
augment(A, alpha) AUGMENT Augmented system matrix.
cholp(A, piv) CHOLP Cholesky factorization with pivoting of a positive semidefinite matrix.
chop(x, t)
cod(A, tol) COD Complete orthogonal decomposition.
cpltaxes(z) CPLTAXES Determine suitable AXIS for plot of complex vector.
dual(x, p)
fv(B, nk, thmax, noplot)
gep(A, piv) GEP Gaussian elimination with pivoting: none, complete, partial or rook.
gersh(A, noplot)
gfpp(T, c) GFPP Matrix giving maximal growth factor for Gaussian elim. with pivoting.
gj(A, b, piv)
gqr(A, B, partial) GQR Generalized QR factorization.
gs_c(A) GS_C Classical Gram-Schmidt QR factorization.
gs_m(A) GS_M Modified Gram-Schmidt QR factorization.
ldlt_skew(A) LDLT_SKEW Block LDL^T factorization for a skew-symmetric matrix.
ldlt_symm(A, piv) LDLT_SYMM Block LDL^T factorization for a symmetric indefinite matrix.
ldlt_sytr(A) LDLT_SYTR Block LDL^T factorization for a symmetric tridiagonal matrix.
lse(A, b, B, d, method) LSE Solve the equality constrained least squares problem.
makejcf(n, e, m, X) MAKEJCF A matrix with specified Jordan canonical form.
matrix(k, n) MATRIX Test matrices accessed by number.
matsignt(T) MATSIGNT Matrix sign function of a triangular matrix.
mdsmax(fun, x, stopit, savit,... MDSMAX Multidirectional search method for direct search optimization.
nmsmax(fun, x, stopit, savit,... NMSMAX Nelder-Mead simplex method for direct search optimization.
pnorm(A, p, tol, prnt)
poldec(A) POLDEC Polar decomposition.
ps(A, m, tol, rl, marksize)
pscont(A, k, npts, ax, levels... PSCONT Contours and colour pictures of pseudospectra.
rootm(A,p)
rschur(n, mu, x, y) RSCHUR An upper quasi-triangular matrix.
see(A, k)
seqcheb(n, k) SEQCHEB Sequence of points related to Chebyshev polynomials.
seqm(a, b, n) SEQM Multiplicative sequence.
show(x) SHOW Display signs of matrix elements.
signm(A) SIGNM Matrix sign decomposition.
skewpart(A) SKEWPART Skew-symmetric (skew-Hermitian) part.
sparsify(A, p) SPARSIFY Randomly set matrix elements to zero.
strassen(A, B, nmin) STRASSEN Strassen's fast matrix multiplication algorithm.
strassenw(A, B, nmin) STRASSENW Strassen's fast matrix multiplication algorithm (Winograd variant).
sub(A, i, j)
symmpart(A) SYMMPART Symmetric (Hermitian) part.
trap2tri(L) TRAP2TRI Unitary reduction of trapezoidal matrix to triangular form.
treshape(x,unit) TRESHAPE Reshape vector to or from (unit) triangular matrix.
vand(m, p) VAND Vandermonde matrix.
vecperm(m, n) VECPERM Vec-permutation matrix.
Contents.m
mctdemo.m
readme.m
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4.4 | 19 ratings Rate this file 14 Downloads (last 30 days) File Size: 544.99 KB File ID: #2360

The Matrix Computation Toolbox

by Nick Higham

11 Sep 2002 (Updated 11 Sep 2002)

A collection of M-files for carrying out various numerical linear algebra tasks.

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Description

The Matrix Computation Toolbox is a collection of MATLAB M-files containing functions for constructing test matrices, computing matrix factorizations, visualizing matrices, and carrying out direct search optimization. Various other
miscellaneous functions are also included. This toolbox supersedes the author's earlier Test Matrix Toolbox (final release 1995).

The toolbox was developed in conjunction with the book Accuracy and Stability of Numerical Algorithms (SIAM, Second edition, August 2002, xxx+680 pp.).

A demonstration of the toolbox is provided by the script mctdemo. More details on the toolbox can be found at

http://www.ma.man.ac.uk/~higham/mctoolbox

MATLAB release

MATLAB 6.5 (R13)

Tags for This File
Everyone's Tags	gaussian elimination, linear(2), linear algebra(2), matrix factorizations, test matrices
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Comments and Ratings (19)
17 Sep 2002
01 May 2003	Mario Bracamonte
07 Sep 2003	heine Borel
20 Dec 2003	laith abdulrida	it goooooooooooooooooooooooooooooooooooood
11 Feb 2004	Georage Bush
07 Mar 2004	omotosho oluwaseun	please i want materials on matrices,can you help me write a programme on gaussian elimination method using matlab
21 Jun 2004	Ashim Dhakal	more or less handy!
10 Jan 2005	VVSK CHAKRAVRTHI CHAKRAVARTHI	VERY GOOD BLOCK SET
09 Feb 2005	Bob Bedford	My rating says it all
19 Dec 2005	Hrundi V. Bakshi	So far, I've only used the Visualization .m's. They're most useful and complement some of the features of EigTool which isn't accessible to those without Matlab. On a purely selfish basis, I'd like to see the inclusion in the Factorizations and Decompositions .m's, the Dulmage - Mendelsohn decomposition for sparse arrays, mainly because the Matlab built-in dmperm is rather opaque and the FORTRAN 77 code on which it's based is not readily available. Many thanks, a useful contribution.
07 Feb 2006	Jean Kim	it's definately beneficial for a beginner to apply matlab to creat some programs!!
13 May 2006	alex orlov	exc
05 Aug 2006	Tim Davis	A comment regarding Bakshi's comment (above), asking for dmperm: see the "CSparse" package, also on MATLAB Central. That package also includes various sparse factorization (LU, Cholesky, and QR). They're written in C, and not provided as M-files, however.
06 Sep 2006	kiran patel
06 Sep 2006	kiran patel
20 Nov 2007	john spy	very good job
26 Nov 2007	Evripides Karseras	As commented, excelent !
29 Nov 2007	George Tapas	good job
03 Dec 2007	Michalis Neo

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Tag Activity for this File
Tag	Applied By	Date/Time
linear algebra	Nick Higham	22 Oct 2008 06:51:22
test matrices	Nick Higham	22 Oct 2008 06:51:22
matrix factorizations	Nick Higham	22 Oct 2008 06:51:22
linear	Nick Higham	22 Oct 2008 06:51:22
gaussian elimination	Nick Higham	22 Oct 2008 06:51:22
linear algebra	ehsan	11 Apr 2010 01:55:05
linear	ehsan	11 Apr 2010 01:55:13

Highlights from The Matrix Computation Toolbox

The Matrix Computation Toolbox

Highlights from
The Matrix Computation Toolbox