POSITIVE SOLUTIONS TO X = A-BX-1B-STAR

被引：109

作者：

ANDERSON, WN

MORLEY, TD

TRAPP, GE

机构：

[1] GEORGIA INST TECHNOL,SCH MATH,ATLANTA,GA 30332

[2] W VIRGINIA UNIV,DEPT MATH,MORGANTOWN,WV 26506

[3] W VIRGINIA UNIV,DEPT STAT & COMP SCI,MORGANTOWN,WV 26506

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1990年 / 134卷

关键词：

D O I：

10.1016/0024-3795(90)90005-W

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the positive (semidefinite) solutions to the matrix equation X = A- BX-1B* under the assumption that A≥0. We show that a positive solution exists if and only if a certain block tridiagonal operator is positive, in which case the solution is given by the shorted operator (or generalized Schur complement) of that operator. © 1990.

引用

页码：53 / 62

页数：10

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