Unicity of minimal rank completions for tri-diagonal partial block matrices

被引：8
|
作者：
Bostian, AA [1 ]
Woerdeman, HJ [1 ]
机构：
[1] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2001年 / 325卷 / 1-3期
基金：
美国国家科学基金会;
关键词：
minimal rank completion; partial matrix; banded matrix; inverse completion;
D O I：
10.1016/S0024-3795(00)00253-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish necessary and sufficient conditions fur a minimal rank completion of a tri-diagonal partial block matrix to be unique. The case of 4 x 4 block matrices with four consecutive diagonals is also considered, along with its application to the problem of completing a matrix and its inverse. (C) 2001 Elsevier Science Inc, All rights reserved. AMS classification: 15A03; 15A09.
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页码：23 / 55
页数：33
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