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The use of Lanczos's method to solve the large generalized symmetric definite eigenvalue problemThe 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.
Document ID
19900002877
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Jones, Mark T. (Duke Univ. Durham, NC., United States)
Patrick, Merrell L. (Duke Univ. Durham, NC., United States)
Date Acquired
September 6, 2013
Publication Date
September 1, 1989
Subject Category
Computer Programming And Software
Report/Patent Number
NAS 1.26:181914
NASA-CR-181914
ICASE-89-69
AD-A214443
Accession Number
90N12193
Funding Number(s)
CONTRACT_GRANT: NAG1-466
CONTRACT_GRANT: NAS1-18605
CONTRACT_GRANT: AF-AFOSR-0117-88
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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