The Use Of Lanczos S Method To Solve The Large Generalized Symmetric Definite Eigenvalue Problem
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The Use of Lanczos's Method to Solve the Large Generalized Symmetric Definite Eigenvalue Problem
Author: National Aeronautics and Space Administration (NASA)
language: en
Publisher: Createspace Independent Publishing Platform
Release Date: 2018-07-17
The generalized eigenvalue problem, Kx = Lambda Mx, is of significant practical importance, especially in structural enginering where it arises as the vibration and buckling problem. 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. Jones, Mark T. and Patrick, Merrell L. Unspecified Center...
The Use of Lanczos's Method to Solve the Large Generalized Symmetric Definite Eigenvalue Problem
Author: National Aeronautics and Space Adm Nasa
language: en
Publisher: Independently Published
Release Date: 2018-11-06
The generalized eigenvalue problem, Kx = Lambda Mx, is of significant practical importance, especially in structural enginering where it arises as the vibration and buckling problem. 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. Jones, Mark T. and Patrick, Merrell L. Unspecified Center...
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).