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An Algorithm for Generalized Matrix Eigenvalue Problems

Published in SIAM Journal on Numerical Analysis • Apr 1, 1973
Authors:
C. B. Moler
,
G. W. Stewart

Abstract

A new method, called the $QZ$ algorithm, is presented for the solution of the matrix eigenvalue problem $Ax = \lambda Bx$ with 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 algori...

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