Lanczos eigenvalue algorithm for large structures on a minicomputer

V. I. Weingarten, R. K. Ramanathan, C. N. Chen

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)

Abstract

This paper considers the problem of determining the partial eigensolution of linearized symmetric eigenvalue equations on a minicomputer arising from the finite element analysis of structural vibration problems. The Lanczos algorithm for transforming the problem to a symmetric tridiagonal eigensystem is discussed. The algorithm is implemented using an out of core skyline storage technique for the stiffness and mass matrices. This storage method is efficient when the matrices are sparse and of large order. Numerical results are given comparing the Lanczos algorithm with the Subspace Iteration and the Determinant Search methods.

Original languageEnglish
Pages (from-to)253-257
Number of pages5
JournalComputers and Structures
Volume16
Issue number1-4
DOIs
Publication statusPublished - 1983

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Modelling and Simulation
  • Materials Science(all)
  • Mechanical Engineering
  • Computer Science Applications

Fingerprint Dive into the research topics of 'Lanczos eigenvalue algorithm for large structures on a minicomputer'. Together they form a unique fingerprint.

Cite this