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On computing an equivalent symmetric matrix for a nonsymmetric matrix

Sen, SK and Venkaiah, VC (1988) On computing an equivalent symmetric matrix for a nonsymmetric matrix. In: International Journal of Computer Mathematics, 24 (2). pp. 169-180.

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Abstract

A real or a complex symmetric matrix is defined here as an equivalent symmetric matrix for a real nonsymmetric matrix if both have the same eigenvalues. An equivalent symmetric matrix is useful in computing the eigenvalues of a real nonsymmetric matrix. A procedure to compute equivalent symmetric matrices and its mathematical foundation are presented.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Taylor and Francis Group.
Keywords: Companion matrix;eigenvalues;equivalent symmetric matrix; non-symmetric matrix;numerical stability;symmetrizers.
Department/Centre: Division of Electrical Sciences > Computer Science & Automation (Formerly, School of Automation)
Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 24 Sep 2010 10:06
Last Modified: 24 Sep 2010 10:06
URI: http://eprints.iisc.ernet.in/id/eprint/32430

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