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利用合同变换求循环矩阵的逆及其行列式的值
引用本文:李寿贵.利用合同变换求循环矩阵的逆及其行列式的值[J].武汉科技大学学报(自然科学版),1993(1).
作者姓名:李寿贵
作者单位:武汉钢铁学院数学教研室
摘    要:对于循环矩阵的逆及循环行列式值的计算,虽有不少讨论,但方法均显繁琐。笔者利用合同变换,给出了计算这类矩阵之逆及其行列式值的简捷方法。

关 键 词:循环阵  循环行列式  合同变换  逆矩阵

FINDING THE INVERSE OF CYCLIC MATRICES AND THE VALUES OF THEIR DETERMINANTS
Li Shougui.FINDING THE INVERSE OF CYCLIC MATRICES AND THE VALUES OF THEIR DETERMINANTS[J].Journal of Wuhan University of Science and Technology(Natural Science Edition),1993(1).
Authors:Li Shougui
Abstract:Quite a number of publications have been available on giving the inverse of cyclic ma- trices and the evaluation of their determinants.However,The procedures are somewhat tedious. The author proposes,by way of contract transformation,a procedure to give a convenient and simplified representation of the inverses of cyclic matrices and a procedure to calculate the values of their determinants.
Keywords:cyclic matrix  cyclic determinant  contract trans formation  inverse of a matrix
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