韓貴春,錢茜,張俊麗

(1.內(nèi)蒙古民族大學(xué)數(shù)學(xué)學(xué)院,內(nèi)蒙古通遼 028043;2.電子科技大學(xué)成都學(xué)院文理系,四川成都 611731)

Ostrowski定理的推廣與非奇異H-矩陣的實(shí)用判定

韓貴春1,錢茜2,張俊麗1

(1.內(nèi)蒙古民族大學(xué)數(shù)學(xué)學(xué)院,內(nèi)蒙古通遼 028043;2.電子科技大學(xué)成都學(xué)院文理系,四川成都 611731)

利用α2-雙對(duì)角占優(yōu)理論,給出了幾個(gè)判定非奇異H-矩陣的充分條件,擴(kuò)大了非奇異H-矩陣的判定范圍,并給出了相應(yīng)的數(shù)值算例說明結(jié)果的有效性.

非奇異H-矩陣;雙對(duì)角占優(yōu)矩陣;非零元素鏈

1 引言

2 預(yù)備知識(shí)

3 主要結(jié)果

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Generalizations Ostrowski′s theorem and practical criteria for H-matrices

Han Guichun1,Qian Qian2,Zhang Junli1

(1.School of Mathematics,Inner Mongolia University for the Nationalities,Tongliao028043,China;
2.Department of Arts and Science,College of University of Electronic Science and Technology of China, Chengdu611731,China)

In this paper,we give some sufcient conditions for nonsingular H-matrices by the theory of α2-double diagonally dominant matrices.The criteria for nonsingular H-matrices are expended,and efectiveness of the criteria is illustrated by numerical examples.

nonsingular H-matrix,double diagonally dominant matrix,chain of nonzero elements

O151.21

A

1008-5513(2013)06-0601-08

10.3969/j.issn.1008-5513.2013.06.008

2012-12-05.

內(nèi)蒙古民族大學(xué)科學(xué)研究基金(NMD1226).

韓貴春(1978-),碩士,講師,研究方向：數(shù)值代數(shù).

2010 MSC:15A57