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Error-free matrix symmetrizers and equivalent symmetric matrices

Venkaiah, V Ch and Sen, SK (1990) Error-free matrix symmetrizers and equivalent symmetric matrices. In: Acta Applicandae Mathematica, 21 (3). pp. 291-313.

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Abstract

A symmetrizer of the matrix A is a symmetric solution X that satisfies the matrix equation XA=AprimeX. An exact matrix symmetrizer is computed by obtaining a general algorithm and superimposing a modified multiple modulus residue arithmetic on this algorithm. A procedure based on computing a symmetrizer to obtain a symmetric matrix, called here an equivalent symmetric matrix, whose eigenvalues are the same as those of a given real nonsymmetric matrix is presented.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Springer.
Keywords: Complex symmetric matrix;equivalent symmetric matrices; error;free matrix symmetrizers;floating-point modular arithmetic;Hessenberg matrices;nonsymmetric eigenvalue problem;parallel implementation;QR transformation.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 11 Feb 2011 08:46
Last Modified: 11 Feb 2011 08:46
URI: http://eprints.iisc.ernet.in/id/eprint/35118

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