拟具非零元素链对角占优矩阵的若干性质

辽宁石油化工大学学报 ›› 2007, Vol. 27 ›› Issue (1): 93-96.

拟具非零元素链对角占优矩阵的若干性质

张丽镯, 宋岱才

辽宁石油化工大学理学院, 辽宁抚顺113001

收稿日期:2006-09-04 出版日期:2007-03-20 发布日期:2017-07-05
作者简介:张丽镯(1981 -), 女, 辽宁朝阳市, 在读硕士。
基金资助:
辽宁石油化工大学重点学科建设资助项目(K200409)

Some Properties of the Quasi Diagonally Dominant Matrix With Chain of Non -Zero Elements

School of Science , Liaoning University of Petroleum &Chemical Technology ,
Fushun Liaoning 113001, P .R .China

Received:2006-09-04 Published:2007-03-20 Online:2017-07-05

摘要/Abstract

摘要： 　在假设A ∈ R^{n ×n} 是一个L -矩阵, 且A 不是对角矩阵的前提下, 给出了矩阵A 为拟具非零元素链对角占优矩阵时的若干性质, 并举例说明了具非零元素链对角占优矩阵所具有的个别性质对拟具非零元素链对角占优矩阵已经不再成立。

关键词: 拟具非零元素链对角占优矩阵, 　比较矩阵, 　主子式

Abstract: 　 If A∈ R^n×n is a L-mat rix , and A isn't a diagonally dominant matrix , then some properties of the quasi diagonallydominant matrix with chain of non -zero elements were given.Examples illustrate that some special properties of the diagonallydominant matrix with chain of non -zero elements probably doesn't come into existence for quasidiagonally dominant matrixwith chain of non -zero elements .

Key words: 　Quasi diagonally dominant matrix with chain of non -zero elements, , Comparison matrix, , Principal minor

张丽镯, 宋岱才. 拟具非零元素链对角占优矩阵的若干性质[J]. 辽宁石油化工大学学报, 2007, 27(1): 93-96.

ZHANG Li -zhuo,SONG Dai -cai. Some Properties of the Quasi Diagonally Dominant Matrix With Chain of Non -Zero Elements[J]. Journal of Liaoning Petrochemical University, 2007, 27(1): 93-96.