Error-free matrix symmetrizers and equivalent symmetric matrices
Copyright policy )Error-free matrix symmetrizers and equivalent symmetric matrices
Given a matrix A, then the symmetric matrix X satisfying \(XA=A'X\) is called a symmetrizer of A. A procedure is given to determine X. Use is made of floating-point modular arithmetic. Computational results are given.
Numerical computation of eigenvalues and eigenvectors of matrices, numerical examples, equivalent symmetric matrix, QR transformation, Other matrix algorithms, Matrix equations and identities, eigenvalues, error-free matrix symmetrizers, nonsymmetric eigenvalue problem, Parallel numerical computation, multiple modulus residue arithmetic, floating-point modular arithmetic, Hessenberg matrices, matrix equation, parallel implementation, Mathematics
Numerical computation of eigenvalues and eigenvectors of matrices, numerical examples, equivalent symmetric matrix, QR transformation, Other matrix algorithms, Matrix equations and identities, eigenvalues, error-free matrix symmetrizers, nonsymmetric eigenvalue problem, Parallel numerical computation, multiple modulus residue arithmetic, floating-point modular arithmetic, Hessenberg matrices, matrix equation, parallel implementation, Mathematics
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