# Accession Number:

## AD0738170

# Title:

## An Algorithm for Generalized Matrix Eigenvalue Problems.

# Descriptive Note:

## Technical rept.,

# Corporate Author:

## MICHIGAN UNIV ANN ARBOR DEPT OF MATHEMATICS

# Personal Author(s):

# Report Date:

## 1972-02-01

# Pagination or Media Count:

## 50.0

# 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 BI. Problems involving powers of lambda are also mentioned. Author

# Descriptors:

# Subject Categories:

- Theoretical Mathematics