An Algorithm for Generalized Matrix Eigenvalue Problems.

Abstract

A new method, called the QZ algorithm, is presented for the solution of the matrix eigenvalue problem Ax = lambda Bx with the general square matrices A and B. Particular attention is paid to the degeneracies which result when B is singular. No inversions of B or its submatrices are used. The algorithm is a generalization of the QR algorithm, and reduces to it when B=I. Problems involving powers of lambda are also mentioned. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1972
Accession Number
AD0738170

Entities

People

  • C. B. Moler
  • G. W. Stewart

Organizations

  • University of Michigan

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Differential Equations
  • Eigenvalues
  • Equations
  • Inversion
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Linear Algebra