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.

引用

页码：437 / 450

页数：14

共 14 条

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