The Use Of Lanczo S Method To Solve The Large Generalized Symmetric Eigenvalue Problem In Parallel
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The Use of Lanczos's Method to Solve the Large Generalized Symmetric Definite Eigenvalue Problem
Author: Institute for Computer Applications in Science and Engineering
language: en
Publisher:
Release Date: 1989
The generalized eigenvalue problem, Kx = lambda Mx, is of significant practical importance, especially in structural engineering where it arises as the vibration and buckling problems. A new algorithm, LANZ, based on Lanczos's method is developed. LANZ uses a technique called dynamic shifting to improve the efficiency and reliability of the Lanczos algorithm. A new algorithm for solving the tridiagonal matrices that arise when using Lanczos's method is described. A modification of Parlett and Scott's selective orthogonalization algorithm is proposed. Results from an implementation of LANZ on a Convex C-220 show it to be superior to a subspace iteration code. (KR).
Large Scale Eigenvalue Problems
Results of research into large scale eigenvalue problems are presented in this volume. The papers fall into four principal categories:novel algorithms for solving large eigenvalue problems, novel computer architectures, computationally-relevant theoretical analyses, and problems where large scale eigenelement computations have provided new insight.
Proceedings of the Fourth SIAM Conference on Parallel Processing for Scientific Computing
Proceedings -- Parallel Computing.