Pseudo-Schur complements and their properties

被引：7
作者：
Redivo-Zaglia, M [1 ]
机构：
[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35131 Padua, Italy
来源：
APPLIED NUMERICAL MATHEMATICS | 2004年 / 50卷 / 3-4期
关键词：
Schur complements; pseudo-inverses; quotient property;
D O I：
10.1016/j.apnum.2004.05.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The notion of Schur complement of a partitioned matrix with a square nonsingular block is well known and it has many applications in various branches of mathematics. When the block is rectangular or singular, pseudo-Schur complements can be defined and studied. In particular, they satisfy an extension of the quotient property for Schur complements. A new proof of this property is given in this paper and various related topics are discussed. (C) 2004 IMACS. Published by Elsevier B.V. All rights reserved.
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收藏
页码：511 / 519
页数：9
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