Matrix Iterative AnalysisSpringer Science & Business Media, 2009. 12. 21. - 358페이지 This book is a revised version of the first edition, regarded as a classic in its field. In some places, newer research results have been incorporated in the revision, and in other places, new material has been added to the chapters in the form of additional up-to-date references and some recent theorems to give readers some new directions to pursue. |
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ai,i ai,j applied asymptotic rate block Jacobi matrix Chebyshev semi-iterative method components computation consider consistently ordered Corollary cyclic matrix cyclic of index defined derived diagonal entries diagonal matrix diagonal submatrices directed graph Dirichlet problem eigenvalues eigenvector error vectors Exer finite difference function Gauss-Seidel iterative method H₁ and V₁ Hermitian matrix initial vector Lemma linear M-matrix Math matrix approximation matrix equation matrix norms matrix of index mesh points mesh spacings model problem n×n matrix nonnegative irreducible nonsingular nonzero numerical solution overrelaxation iterative method p-cyclic Padé partial differential equations partitioned Peaceman-Rachford iterative method permutation permutation matrix Pm(M point Gauss-Seidel point Jacobi matrix point successive overrelaxation polynomial positive definite positive diagonal primitive prove rates of convergence real numbers regular splitting relaxation factor Sect spectral norm spectral radius Stieltjes matrix strictly successive overrelaxation iterative symmetric tridiagonal Varga Wachspress weakly cyclic