## A collection of matrices for testing computational algorithms |

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### Contents

INTRODUCTION | 1 |

INVERSES SYSTEMS OF LINEAR EQUATIONS | 29 |

OF COMPLEX MATRICES | 114 |

Copyright | |

2 other sections not shown

### Common terms and phrases

All,J allXl aRuv b a b b a b b a b binomial coefficients block-diagonal matrix Brenner Characteristic polynomial class of matrices Collection of Matrices column complex conjugate components condition numbers conjugate transpose defined by ij degree 2 given det(A dimensional subspace eigen eigenvalue of multiplicity EIGENVALUES AND EIGENVECTORS elements HEAL Hermitian Hermitian matrix Hilbert Matrix Householder's method I+kB IMAu Kronecker product left eigenvectors m x m MATRICES Example Matrices for Testing matrices with known matrix of order matrix with eigenvalues n x 1 column-vector n x n matrix defined N-condition n+1 x n+1 non-singular non-singular matrix OOOOO(-OO ORDER OF MATRIX Ortega 44 Poiseuille Flow quadratic elementary divisor REAL PAHT REAL PART IMAG REAL SYMMETRIC MATRICES Reference right and left root of unity set of eigenvectors subspace of eigenvectors subspaces of right Theorem Tridiagonal form W(t A(m