INVERTIBLE COMPLETIONS OF PARTIAL OPERATOR MATRICES - THE NONSYMMETRIC CASE

被引：0
|
作者：
BAKONYI, M [1 ]
JOHNSON, CR [1 ]
机构：
[1] COLL WILLIAM & MARY,DEPT MATH,WILLIAMSBURG,VA 23187
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1994年 / 209卷
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D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider nonsymmetric partial operator matrices R whose directed graphs belong to a certain class and for which certain key, fully specified principal submatrices are invertible. Under these circumstances, we prove the existence of a unique invertible completion F of R such that (F-1)ij is block zero whenever R(ij) is unspecified. In this way, the existing results of Johnson and Lundquist are generalized to the nonsymmetric case.
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页码：327 / 341
页数：15
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