Error-free matrix symmetrizers and equivalent symmetric matrices
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- Venkaiah, V.C. & Sen, S.K. Acta Appl Math (1990) 21: 291. doi:10.1007/BF00047212
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A symmetrizer of the matrix A is a symmetric solution X that satisfies the matrix equation XA=A′X. 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.