Matrix Iterative AnalysisSpringer Science & Business Media, 17 nov 1999 - 358 pagine 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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Pagina
... Rates of Convergence 3.3 The Stein - Rosenberg Theorem 3.4 The Ostrowski - Reich Theorem ... 3.5 Stieltjes Matrices , M - Matrices and H - Matrices 1137 16 22 24 31 31 40 50 53 8 63 68 74 81 87 3.6 Regular and Weak Regular Splittings of ...
... Rates of Convergence 3.3 The Stein - Rosenberg Theorem 3.4 The Ostrowski - Reich Theorem ... 3.5 Stieltjes Matrices , M - Matrices and H - Matrices 1137 16 22 24 31 31 40 50 53 8 63 68 74 81 87 3.6 Regular and Weak Regular Splittings of ...
Pagina
... Rates of Convergence : the Weakly Cyclic Case .. 165 5.4 Cyclic Reduction and Related Iterative Methods 170 5.5 Semi - Iterative Methods Applied to the Successive Overrelax- ation Method ..... 174 6. Derivation and Solution of Elliptic ...
... Rates of Convergence : the Weakly Cyclic Case .. 165 5.4 Cyclic Reduction and Related Iterative Methods 170 5.5 Semi - Iterative Methods Applied to the Successive Overrelax- ation Method ..... 174 6. Derivation and Solution of Elliptic ...
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Sommario
Matrix Properties and Concepts 1137 | 1 |
Nonnegative Matrices | 31 |
si Basic Iterative Methods and Comparison Theorems 8 | 52 |
Successive Overrelaxation Iterative Methods | 111 |
SemiIterative Methods | 149 |
Derivation and Solution of Elliptic Difference Equations | 183 |
AlternatingDirection Implicit Iterative Methods | 235 |
Matrix Methods for Parabolic Partial Differential Equa | 275 |
Estimation of Acceleration Parameters | 313 |
A Appendix | 329 |
337 | |
355 | |
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ai,j applied asymptotic rates 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 eigenvalues eigenvector error vectors Exer finite difference function Gauss-Seidel iterative method H₁ and V₁ Hermitian matrix initial vector irreducible n x n Lemma M-matrix Math matrix approximation matrix equation matrix norms matrix of index mesh points mesh spacings n x n complex matrix n x n matrix nonnegative irreducible nonnegative matrices nonsingular nonzero numerical solution overrelaxation iterative method p-cyclic Padé partial differential equations partitioned Peaceman-Rachford iterative method permutation permutation matrix 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 successive overrelaxation iterative symmetric tridiagonal Varga Wachspress weakly cyclic
Riferimenti a questo libro
Nonnegative Matrices in the Mathematical Sciences Abraham Berman,Robert J. Plemmons Anteprima non disponibile - 1994 |