GENERALIZATIONS OF THE SINGULAR VALUE AND QR DECOMPOSITIONS

被引：39
作者：
DEMOOR, B
VANDOOREN, P
机构：
[1] BELGIAN NATL FUND SCI RES,LOUVAIN,BELGIUM
[2] UNIV ILLINOIS,COORDINATED SCI LAB,URBANA,IL 61801
来源：
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 1992年 / 13卷 / 04期
关键词：
SINGULAR VALUE DECOMPOSITION; QR-FACTORIZATION; URV-DECOMPOSITION; COMPLETE ORTHOGONAL DECOMPOSITION;
D O I：
10.1137/0613060
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper discusses multimatrix generalizations of two well-known orthogonal rank factorizations of a matrix: the generalized singular value decomposition and the generalized QR-(or URV-) decomposition. These generalizations can be obtained for any number of matrices of compatible dimensions. This paper discusses in detail the structure of these generalizations and their mutual relations and gives a constructive proof for the generalized QR-decompositions.
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收藏
页码：993 / 1014
页数：22
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