The Numerical Treatment of Large Eigenvalue Problems.

Abstract

The object of this paper is to give a concise review of current methods for solving algebraic eigenvalue problems involving matrices so large that they cannot be maintained in array form in the high speed storage of a computer. Topics discussed include the following: Sparse matrix technology; quasi-direct methods; methods that reduce the Rayleigh quotient; and methods based on Krylov sequences.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1974
Accession Number
AD0787589

Entities

People

  • G. W. Stewart

Organizations

  • Carnegie Mellon University

Tags

DTIC Thesaurus Topics

  • Algebra
  • Computers
  • Computing Devices
  • Differential Equations
  • Eigenvalues
  • Equations
  • Linear Algebra
  • Mathematical Analysis
  • Mathematics
  • Sequences
  • Sparse Matrix

Readers

  • Linear Algebra
  • Systems Analysis and Design