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2008•Journal of Ningbo UniversityRequires access

Fast Algorithms for Solving Equation of Permutation Factor Circulant Matrix

Kong Xiang

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Abstract

A fast Algorithm is presented seeking the solution of the permutation factor circulant matrix equation AX =b.It is proved that,when permutation factor circulant matrices are nonsingular,the single solution can be obtained for the permutation factor circulant matrix equation,otherwise the special and the general solution can thus be sought.

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What this paper is about

A fast Algorithm is presented seeking the solution of the permutation factor circulant matrix equation AX =b.It is proved that,when permutation factor circulant matrices are nonsingular,the single solution can be obtained for the permutation factor circulant matrix equation,otherwise the special and the general solution can thus be sought.

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Available abstract

A fast Algorithm is presented seeking the solution of the permutation factor circulant matrix equation AX =b.It is proved that,when permutation factor circulant matrices are nonsingular,the single solution can be obtained for the permutation factor circulant matrix equation,otherwise the special and the general solution can thus be sought.

Key concepts: Circulant matrix, Invertible matrix, Permutation matrix, Permutation (music), Mathematics, Matrix (chemical analysis), Factor (programming language), Generalized permutation matrix

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