REORTHOGONALIZATION AND STABLE ALGORITHMS FOR UPDATING GRAM-SCHMIDT QR FACTORIZATION

被引:289
作者
DANIEL, JW
GRAGG, WB
KAUFMAN, L
STEWART, GW
机构
[1] UNIV TEXAS,DEPT COMP SCI,AUSTIN,TX 78712
[2] UNIV TEXAS,DEPT MATH,AUSTIN,TX 78712
[3] UNIV CALIF SAN DIEGO,DEPT MATH,LA JOLLA,CA 92093
[4] UNIV COLORADO,DEPT COMP SCI,BOULDER,CO 80302
[5] UNIV MARYLAND,DEPT COMP SCI,COLLEGE PK,MD 20742
关键词
D O I
10.2307/2005398
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:772 / 795
页数:24
相关论文
共 11 条
[1]  
FORSYTHE GE, 1967, COMPUTER SOLUTION LI
[2]   METHODS FOR COMPUTING AND MODIFYING LDV FACTORS OF A MATRIX [J].
GILL, PE ;
MURRAY, W ;
SAUNDERS, MA .
MATHEMATICS OF COMPUTATION, 1975, 29 (132) :1051-1077
[3]  
GILL PE, 1974, MATH COMPUT, V28, P505, DOI 10.1090/S0025-5718-1974-0343558-6
[4]  
GRAGG WB, 1976, SIAM J NUMER ANAL, V13
[5]  
Householder A. S., 1964, THEORY MATRICES NUME
[6]  
Knuth D. E., 1969, ART COMPUTER PROGRAM, V2
[7]  
Lawson CL., 1974, SOLVING LEAST SQUARE
[8]  
RUTISHAUSER H, 1967, HDB AUTOMATIC COMP A, V1
[9]  
Stewart G. W., 1973, INTRO MATRIX COMPUTA
[10]  
Wilkinson J., 1963, ROUNDING ERRORS ALGE