代数特征值反问题Hermite情形可解的充分条件  

THE SUFFICIENT CONDITIONS FOR THE SOLVABILITY OF ALGEBRAIC INVERSE EIGENVALUE PROBLEM WITH HERMITIAN MATRICES

作　　者：张玉海[1] 

机构地区：[1]山东大学数学院,济南250100

出　　处：《高等学校计算数学学报》2001年第1期73-78,共6页Numerical Mathematics A Journal of Chinese Universities

基　　金：山东大学青年科研基金

摘　　要：Let A,A1,A2, ..,An. be given n × n Hermitian matrices and λ1,λ2,…λn be given n real numbers. With the help of Brouwer’s fixed point theorem, we present new sufficient conditions under which there exist n real numbers such that the matrix has eigenvalues λ1,λ2, ...λn.Let A,A1,A2, ..,An. be given n × n Hermitian matrices and λ1,λ2,…λn be given n real numbers. With the help of Brouwer's fixed point theorem, we present new sufficient conditions under which there exist n real numbers such that the matrix has eigenvalues λ1,λ2, ...λn.

关 键 词：Hermite矩形 特征值问题 反问题 可能性 BROUWER不动点定理 充分条件 

分 类 号：O241.6[理学—计算数学]