ON THE EARLY HISTORY OF THE SINGULAR-VALUE DECOMPOSITION

被引:557
作者
STEWART, GW [1 ]
机构
[1] UNIV MARYLAND, INST ADV COMP STUDIES, COLL PK, MD 20742 USA
关键词
SINGULAR VALUE DECOMPOSITION; HISTORY;
D O I
10.1137/1035134
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper surveys the contributions of five mathematicians-Eugenio Beltrami (1835-1899), Camille Jordan (1838-1921), James Joseph Sylvester (1814-1897), Erhard Schmidt (1876-1959), and Hermann Weyl (1885-1955)-who were responsible for establishing the existence of the singular value decomposition and developing its theory.
引用
收藏
页码:551 / 566
页数:16
相关论文
共 66 条
[1]  
AUTONNE L, 1902, B SOC MATH FRANCE, V30, P121
[2]  
Autonne L.C., 1915, ANN U LYON, V38, P1
[3]  
BATEMAN H, 1908, T CAMBRIDGE PHILOS S, V20, P179
[4]  
BELTRAMI E, 1990, 9037 U MINN DEP COMP
[5]  
BERNKOPF M, 1975, DICT SCI BIOGRAPHY, V12
[6]  
CAUCHY AL, 1829, OEUVRES COMPLETES, V9
[8]   ROTATION OF EIGENVECTORS BY A PERTURBATION .3. [J].
DAVIS, C ;
KAHAN, WM .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1970, 7 (01) :1-&
[9]   THE BIDIAGONAL SINGULAR VALUE DECOMPOSITION AND HAMILTONIAN-MECHANICS [J].
DEIFT, P ;
DEMMEL, J ;
LI, LC ;
TOMEI, C .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1991, 28 (05) :1463-1516
[10]   ACCURATE SINGULAR-VALUES OF BIDIAGONAL MATRICES [J].
DEMMEL, J ;
KAHAN, W .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1990, 11 (05) :873-912