Fast Algorithms for Solving FLS -Factor Block Circulant Linear Systems and Inverse Problem of

Zhaolin Jiang

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

Abstract:

Block circulant and circulant matrices have already become an ideal research area for solving various differential equations. In this paper, we give the definition and the basic properties of FLS -factor block circulant (retrocirculant) matrix over field . Fast algorithms for solving systems of linear equations involving these matrices are presented by the fast algorithm for computing matrix polynomials. The unique solution is obtained when such matrix over a field is nonsingular. Fast algorithms for solving the unique solution of the inverse problem of in the class of the level-2 FLS -circulant(retrocirculant) matrix of type over field are given by the right largest common factor of the matrix polynomial. Numerical examples show the effectiveness of the algorithms.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:340803

DOI: 10.1155/2014/340803

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