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+% Test Matrix Toolbox.
+% Version 3.0, September 19 1995
+% Copyright (c) 1995 by N. J. Higham
+%
+% Demonstration
+%TMTDEMO   Demonstration of Test Matrix Toolbox.
+%
+% Test Matrices
+%AUGMENT   Augmented system matrix.
+%CAUCHY    Cauchy matrix.
+%CHEBSPEC  Chebyshev spectral differentiation matrix.
+%CHEBVAND  Vandermonde-like matrix for the Chebyshev polynomials.
+%CHOW      Chow matrix - a singular Toeplitz lower Hessenberg matrix.
+%CIRCUL    Circulant matrix.
+%CLEMENT   Clement matrix - tridiagonal with zero diagonal entries.
+%COMPAN    Companion matrix.
+%CONDEX    `Counterexamples' to matrix condition estimators.
+%CYCOL     Matrix whose columns repeat cyclically.
+%DINGDONG  Dingdong matrix - a symmetric Hankel matrix.
+%DORR      Dorr matrix - diag. dominant, ill-conditioned, tridiagonal (sparse).
+%DRAMADAH  A (0,1) matrix with large inverse.
+%FIEDLER   Fiedler matrix - symmetric.
+%FORSYTHE  Forsythe matrix - a perturbed Jordan block.
+%FRANK     Frank matrix - ill-conditioned eigenvalues.
+%GALLERY   Famous, and not so famous, test matrices.
+%GEARM     Gear matrix.
+%GFPP      Matrix giving maximal growth factor for Gaussian elim. with pivoting.
+%GRCAR     Grcar matrix - a Toeplitz matrix with sensitive eigenvalues.
+%HADAMARD  Hadamard matrix.
+%HANOWA    Hanowa matrix.
+%HILB      Hilbert matrix.
+%INVHESS   Inverse of an upper Hessenberg matrix.
+%INVOL     An involutory matrix.
+%IPJFACT   A Hankel matrix with factorial elements.
+%JORDBLOC  Jordan block.
+%KAHAN     Kahan matrix - upper trapezoidal.
+%KMS       Kac-Murdock-Szego Toeplitz matrix.
+%KRYLOV    Krylov matrix.
+%LAUCHLI   Lauchli matrix.
+%LEHMER    Lehmer matrix - symmetric positive definite.
+%LESP      A tridiagonal matrix with real, sensitive eigenvalues.
+%LOTKIN    Lotkin matrix.
+%MAKEJCF   A matrix with given Jordan canonical form.
+%MINIJ     Symmetric positive definite matrix MIN(i,j).
+%MOLER     Moler matrix - symmetric positive definite.
+%NEUMANN   Singular matrix from the discrete Neumann problem.
+%OHESS     Random, orthogonal upper Hessenberg matrix.
+%ORTHOG    Orthogonal and nearly orthogonal matrices.
+%PARTER    Parter matrix - a Toeplitz matrix with singular values near PI.
+%PASCAL    Pascal matrix.
+%PDTOEP    Symmetric positive definite Toeplitz matrix.
+%PEI       Pei matrix.
+%PENTOEP   Pentadiagonal Toeplitz matrix (sparse).
+%POISSON   Block tridiagonal matrix from Poisson's equation (sparse).
+%PROLATE   Prolate matrix - symmetric, ill-conditioned Toeplitz matrix.
+%RANDO     Random matrix with elements -1, 0 or 1.
+%RANDSVD   Random matrices with pre-assigned singular values.
+%REDHEFF   A matrix of 0s and 1s of Redheffer.
+%RIEMANN   A matrix associated with the Riemann hypothesis.
+%RSCHUR    An upper quasi-triangular matrix.
+%SMOKE     Smoke matrix - complex, with a `smoke ring' pseudospectrum.
+%TRIDIAG   Tridiagonal matrix (sparse).
+%TRIW      Upper triangular matrix discussed by Wilkinson and others.
+%VAND      Vandermonde matrix.
+%WATHEN    Wathen matrix - a finite element matrix (sparse, random entries).
+%WILK      Various specific matrices devised/discussed by Wilkinson.
+%
+% Visualization
+%FV        Field of values (or numerical range).
+%GERSH     Gershgorin disks.
+%PS        Approximation to the pseudospectrum.
+%PSCONT    Contours and colour pictures of pseudospectra.
+%SEE       Pictures of a matrix and its (pseudo-) inverse.
+%
+% Decompositions and factorizations.
+%CGS       Gram-Schmidt QR factorization.
+%CHOLP     Cholesky factorization with pivoting of a pos. semidefinite matrix.
+%COD       Complete orthogonal decomposition.
+%DIAGPIV   Diagonal pivoting factorization with partial pivoting.
+%GE        Gaussian elimination without pivoting.
+%GECP      Gaussian elimination with complete pivoting.
+%GJ        Gauss-Jordan elimination to solve Ax = b.
+%MGS       Modified Gram-Schmidt QR factorization.
+%POLDEC    Polar decomposition.
+%SIGNM     Matrix sign decomposition.
+%
+% Direct Search Optimization.
+%ADSMAX  Alternating directions direct search method.
+%MDSMAX  Multidirectional search method for direct search optimization.
+%NMSMAX  Nedler-Mead simplex method for direct search optimization.
+%
+% Miscellaneous
+%BANDRED   Band reduction by two-sided orthogonal transformations.
+%CHOP      Round matrix elements.
+%COMP      Comparison matrices.
+%COND      Matrix condition number in 1, 2, Frobenius, or infinity norm.
+%CPLTAXES  Determine suitable AXIS for plot of complex vector.
+%DUAL      Dual vector with respect to Holder p-norm.
+%EIGSENS   Eigenvalue condition numbers.
+%HOUSE     Householder matrix.
+%MATRIX    Test Matrix Collection information and access by number.
+%MATSIGNT  Matrix sign function of a triangular matrix.
+%PNORM     Estimate of matrix p-norm (1 <= p <= inf).
+%QMULT     Pre-multiply by random orthogonal matrix.
+%RQ        Rayleigh quotient.
+%SEQA      An additive sequence.
+%SEQCHEB   Sequence of points related to Chebyshev polynomials, T_N.
+%SEQM      A multiplicative sequence.
+%SHOW      Display signs of matrix elements.
+%SKEWPART  Skew-symmetric (Hermitian) part.
+%SPARSIFY  Randomly sets matrix elements to zero.
+%SUB       Principal submatrix.
+%SYMMPART  Symmetric (Hermitian) part.
+%TRAP2TRI  Trapezoidal matrix to triangular form.