REMARKS ON BRUALDI'S THEOREM FOR SPECTRUM INCLUSION REGION OF AN IRREDUCIBLE MATRIX  

作　　者：陈神灿 

机构地区：[1]College of Mathematics and Computer Science Fuzhou University, Fuzhou 350002,China

出　　处：《Acta Mathematica Scientia》2005年第1期112-118,共7页数学物理学报（B辑英文版）

基　　金：ThisworkissupportedbytheNaturalScienceFoundationofFujianEducationCommittee(JA04157)

摘　　要：This paper obtains a necessary and sufficient condition for an irreducible complex matrix whose comparison matrix is a singular M-matrix to be singular. This is used to establish a necessary and sufficient condition for a boundary point of Brualdi’s inclusion region of the eigenvalues of an irreducible complex matrix to be an eigenvalue.This paper obtains a necessary and sufficient condition for an irreducible complex matrix whose comparison matrix is a singular M-matrix to be singular. This is used to establish a necessary and sufficient condition for a boundary point of Brualdi's inclusion region of the eigenvalues of an irreducible complex matrix to be an eigenvalue.

关 键 词：M-MATRIX irreducible circuit α-diagonal dominant matrix spectrum inclusion region 

分 类 号：O151.21[理学—数学]