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2006•Shuxue de shijian yu renshiRequires access

A Fast Algorithm for the Triangular Factorization of Symmetric r-circulant Matrix and Inverse Matrix

Zhijie Yuan

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Abstract

A fast algorithm for determining the triangular factorization of a symmetric r-circulant matrix and inverse matrix using O(n~2) operations is presented.The triangular factorization of general matrix and inverse matrix need O(n~3) operations.

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What this paper is about

A fast algorithm for determining the triangular factorization of a symmetric r-circulant matrix and inverse matrix using O(n~2) operations is presented.The triangular factorization of general matrix and inverse matrix need O(n~3) operations.

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Available abstract

A fast algorithm for determining the triangular factorization of a symmetric r-circulant matrix and inverse matrix using O(n~2) operations is presented.The triangular factorization of general matrix and inverse matrix need O(n~3) operations.

Key concepts: Circulant matrix, Triangular matrix, Mathematics, Matrix (chemical analysis), Inverse, Factorization, Pascal matrix, Matrix decomposition

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