Accession Number : ADP000035

Title :   An Iterative Eigenvector Technique for Optimization Analysis,

Corporate Author : LOCKHEED MISSILES AND SPACE CO INC PALO ALTO CA PALO ALTO RESEARCH LAB

Personal Author(s) : Jensen,Paul S.

Report Date : 1981

Pagination or Media Count : 5

Abstract : Certain structural optimization analyses require the repeated generation of sparse, symmetric linear systems of equations for which a few eigenpairs (eigenvalues and corresponding eigenvectors) are to be determined. Typically, these linear systems have similar spectra. Consequently, eigenpairs for one system tend to be reasonably close approximations to those of another next linear system. An iterative eigenvector analysis technique that utilizes the available approximate eigenpairs in order to reduce computation costs is described. it is based on Rayleigh quotient iteration with a Lanczos type iterative equation solver. A rational transformation of the initial forms of the linear systems is used in order to overcome the adverse matrix conditions that typically ruin the convergence of the iterative equation solver. (Author)

Descriptors :   *Structural engineering, *Optimization, *Structural mechanics, *Eigenvectors, Structural analysis, Structural response, Structures, Linear systems, Eigenvalues, Iterations, Rayleigh waves, Sparse matrix, Symmetry

Distribution Statement : APPROVED FOR PUBLIC RELEASE