FINDING EIGENVALUES WITH LAGUERRE ITERATIONS.

Abstract

The use of Laguerre iterations for finding eigenvalues of matrices is considered. The algorithm discussed here is designed for the calculation of the eigenvalues of real square matrices of orders up to 100. The method is applicable to complex matrices also. The method consists of reducing the given matrix A to Hessenberg form H by similarity transformations and then conducting an iterative search for the eigenvalues of H using the method of Laguerre. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1965
Accession Number
AD0617597

Entities

People

  • Robert Mark Hansard

Organizations

  • University of Texas at Austin

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Differential Equations
  • Eigenvalues
  • Iterations
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Systems Analysis and Design