PERTURBATION OF PSEUDO-INVERSES, PROJECTIONS AND LINEAR LEAST-SQUARES PROBLEMS

被引：287
作者：
STEWART, GW [1 ]
机构：
[1] UNIV MARYLAND,DEPT COMP SCI,COLLEGE PK,MD 20742
来源：
SIAM REVIEW | 1977年 / 19卷 / 04期
关键词：
D O I：
10.1137/1019104
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
引用
收藏
页码：634 / 662
页数：29
相关论文
共 29 条
[1]   SOLUTION OF LINEAR LEAST-SQUARES PROBLEMS AND PSEUDO-INVERSES [J].
ABDELMALEK, NN .
COMPUTING, 1974, 13 (3-4) :215-228
[2]  
Afriat S., 1957, MATH P CAMB PHILOS S, V53, P800, DOI [10.1017/S0305004100032916, DOI 10.1017/S0305004100032916]
[3]  
Ben-Israel A., 1966, SIAM J NUMER ANAL, V3, P585
[4]  
BENISRAEL A, 1974, GENERALIZED INVERSES
[5]   NUMERICAL METHODS FOR COMPUTING ANGLES BETWEEN LINEAR SUBSPACES [J].
BJORCK, A ;
GOLUB, GH .
MATHEMATICS OF COMPUTATION, 1973, 27 (123) :579-594
[6]  
BOULLION TL, 1971, GENERALIZED INVERSE
[7]   ROTATION OF EIGENVECTORS BY A PERTURBATION .3. [J].
DAVIS, C ;
KAHAN, WM .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1970, 7 (01) :1-&
[8]   DIFFERENTIATION OF PSEUDO-INVERSES AND NONLINEAR LEAST-SQUARES PROBLEMS WHOSE VARIABLES SEPARATE [J].
GOLUB, GH ;
PEREYRA, V .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1973, 10 (02) :413-432
[9]   NOTE ON ITERATIVE REFINEMENT OF LEAST SQUARES SOLUTION [J].
GOLUB, GH ;
WILKINSO.JH .
NUMERISCHE MATHEMATIK, 1966, 9 (02) :139-&
[10]  
GOLUB GH, 1965, NUMER MATH, V7, P206, DOI DOI 10.1007/BF01436075
123