求解首尾差循环矩阵逆与广义逆的快速算法

J4 ›› 2013, Vol. 48 ›› Issue (6): 96-99.

求解首尾差循环矩阵逆与广义逆的快速算法

李静,何承源

西华大学数学与计算机学院, 四川成都 610039

收稿日期:2012-06-07 出版日期:2013-06-20 发布日期:2013-06-09
作者简介:李静(1986- ),女,助教,硕士,研究方向为矩阵理论及其应用. Email:linearmv@163.com
基金资助:
西华大学重点学科基金资助项目(XZD0910091);西华大学创新基金(YCJJ201236);四川省应用基础研究计划(13JCO457)

A fast algorithm for finding the inverse and generlized inverse of the first and the last difference circulant matrices

LI Jing, HE Cheng-yuan

School of Mathematics and Computer Engineering, Xihua University, Chengdu 610039, Sichuan, China

Received:2012-06-07 Online:2013-06-20 Published:2013-06-09

摘要/Abstract

摘要：

提出首尾差循环矩阵的概念,利用多项式矩阵的初等变换理论给出了首尾差循环矩阵求逆阵及广义逆的一种快速算法。

关键词: 首尾差循环矩阵;逆矩阵;自反广义逆;群逆;快速算法

Abstract:

The definitions of the minus of the first and the last circulant matrices are proposed. A fastand algorithm which can be used to compute the inverse and generlized inverse of the minus of the first and the last circulant matrices is presented by the elementary row transformation of polynomial matrix.

Key words: the minus the first and the last circulant matrices; inverse matrices; reflexive generalized inverse; group inverse; fast algorithm

李静,何承源. 求解首尾差循环矩阵逆与广义逆的快速算法[J]. J4, 2013, 48(6): 96-99.

LI Jing, HE Cheng-yuan. A fast algorithm for finding the inverse and generlized inverse of the first and the last difference circulant matrices[J]. J4, 2013, 48(6): 96-99.

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