On computing an equivalent symmetric matrix for a nonsymmetric matrix

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.

Keywords:

• Companion matrix
• eigenvalues
• equivalent symmetric matrix
• non-symmetric matrix
• numerical stability
• symmetrizers

C.R. Categories:

• G.1.3.
• G.1.0.

Supported by CSIR.

Supported by CSIR.

Notes

Supported by CSIR.