Templates for the Solution of Algebraic Eigenvalue Problems: A Practical GuideZhaojun Bai, James Demmel, Jack Dongarra, Axel Ruhe, Henk van der Vorst SIAM, 1 Ιαν 2000 - 439 σελίδες Large-scale problems of engineering and scientific computing often require solutions of eigenvalue and related problems. This book gives a unified overview of theory, algorithms, and practical software for eigenvalue problems. It organizes this large body of material to make it accessible for the first time to the many nonexpert users who need to choose the best state-of-the-art algorithms and software for their problems. Using an informal decision tree, just enough theory is introduced to identify the relevant mathematical structure that determines the best algorithm for each problem. |
Άλλες εκδόσεις - Προβολή όλων
Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide Zhaojun Bai,James Demmel,Jack Dongarra,Axel Ruhe,Henk van der Vorst Περιορισμένη προεπισκόπηση - 2000 |
Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide Zhaojun Bai,James Demmel,Jack Dongarra,Axel Ruhe,Henk van der Vorst Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2000 |
Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide Axel Ruhe,Henk Van Der Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2000 |
Συχνά εμφανιζόμενοι όροι και φράσεις
accuracy algorithm apply approximate Arnoldi band basis block bound called Chapter columns complex computed condition consider convergence corresponding cost defined definite deflation depends described desired diagonal direct discussed eigenpair eigenproblems eigenvalue problem eigenvectors elements entries equation error exact example factorization first function give given Hermitian implementation inner iteration Krylov Lanczos method largest leads linear systems matrix matrix-vector multiple norm Note obtained operations orthogonal orthogonal matrix pair pencil performance polynomial positive possible preconditioned presented projection reduced relation residual respect restart Ritz values routine Schur selected shift similar singular values solution solve solver space spanned sparse standard starting vector step storage structure subspace symmetric symmetric matrix transformation triangular tridiagonal upper wanted zero