Deflation for block eigenvalues of block partitioned matrices with an application to matrix polynomials of commuting matrices

A method for computing a complete set of block eigenvalues for a block partitioned matrix using a generalized form of Wielandt's deflation is presented. An application of this process is given to compute a complete set of solvents of matrix polynomials where the coefficients and the variable ar...

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Bibliographic Details
Main Author: Pereira, E. (author)
Other Authors: Vitória, J. (author)
Format: article
Language:eng
Published: 2001
Subjects:
Online Access:http://hdl.handle.net/10316/4645
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/4645
Description
Summary:A method for computing a complete set of block eigenvalues for a block partitioned matrix using a generalized form of Wielandt's deflation is presented. An application of this process is given to compute a complete set of solvents of matrix polynomials where the coefficients and the variable are commuting matrices.