STRUCTURES AND UNIQUENESS CONDITIONS OF MK-WEIGHTED PSEUDOINVERSES

被引：13
|
作者：
WEI, MS
ZHANG, BR
机构：
[1] E CHINA NORMAL UNIV,DEPT MATH,SHANGHAI 200062,PEOPLES R CHINA
[2] DANYANG TEACHERS SCH,JIANGSU 212300,PEOPLES R CHINA
来源：
BIT | 1994年 / 34卷 / 03期
关键词：
WEIGHTED PSEUDOINVERSE; CONSTRAINED LEAST SQUARES; UNIQUENESS;
D O I：
10.1007/BF01935652
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
For given matrices M, A and K of appropriate sizes, we study the following two kinds of MK-weighted pseudoinverses of A. The first kind of weighted pseudoinverse X is characterized by the following four Moore-Penrose like conditions: [GRAPHICS] The second kind of weighted pseudoinverse X is characterized by [GRAPHICS] Structures of these MK-weighted pseudoinverses of A are deduced, and the uniqueness conditions of such pseudoinverses are obtained.
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页码：437 / 450
页数：14
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