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

关键词：

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.

引用

页码：327 / 341

页数：15

共 50 条

[21] Normal completions of block partial matrices
Chao Ma
[J]. Indian Journal of Pure and Applied Mathematics, 2019, 50 : 353 - 363
[22] Normal completions of block partial matrices
Ma, Chao
[J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2019, 50 (02): : 353 - 363
[23] GEOMETRIC MULTIPLICITIES OF COMPLETIONS OF PARTIAL TRIANGULAR MATRICES
KRUPNIK, M
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1995, 220 : 215 - 227
[24] Nilpotent completions of partial upper triangular matrices
Urbano, AM
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 390 : 209 - 254
[25] POSITIVE DEFINITE COMPLETIONS OF PARTIAL HERMITIAN MATRICES
GRONE, R
JOHNSON, CR
SA, EM
WOLKOWICZ, H
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1984, 58 (APR) : 109 - 124
[26] POSITIVE SEMIDEFINITE COMPLETIONS OF PARTIAL HERMITIAN MATRICES
DANCIS, J
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 175 : 97 - 114
[27] An algorithm for nilpotent completions of partial Jordan matrices
Jordan, C
Torregrosa, JR
Urbano, A
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1998, 276 : 315 - 325
[28] N0 completions on partial matrices
Jordan, C.
Araujo, C. Mendes
Torregrosa, Juan R.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 211 (02) : 303 - 312
[29] Applications of Completions of Operator Matrices to Some Properties of Operator Products on Hilbert Spaces
Xiong, Zhiping
Liu, Zhongshan
[J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2018, 12 (01) : 123 - 140
[30] Applications of Completions of Operator Matrices to Some Properties of Operator Products on Hilbert Spaces
Zhiping Xiong
Zhongshan Liu
[J]. Complex Analysis and Operator Theory, 2018, 12 : 123 - 140

← 1 2 3 4 5 →