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Appendix A Glossary of Matrix Terminology
Appendix B Theorems on Matrix Algebra
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absolute value accuracy Appendix arithmetic Assume Chebyshev acceleration Cholesky coefficients complete positioning complex component computed conjugate convergence rate defined diagonal elements diagonal matrix direct methods Douglas-Rachford method eigenvalues eigenvectors error measure error vector extrapolated Jacobi Gauss-Jordan Gaussian elimination given gradient Hence Hermitian matrix ill conditioned integer inverse matrix iteration matrix iterative methods Jacobi iteration Jacobi method largest absolute eigenvalue linear equations linearly independent lower triangular main diagonal matrix norm minimize multiplications nonsingular matrix nonstationary number of iterations obtained orthogonal matrix parameters partial differential equations Partitioning Peaceman-Rachford method permutations positive definite positive-definite matrices rate of convergence residual vector roundoff error row and column row interchanges scalar Section Seidel iteration Seidel method solution vector solving Ax successive overrelaxation symmetric and positive symmetric matrix system Ax systems of linear Theorem transformation triangular form tridiagonal unitary unitary matrix Wachspress zero