A NEW LOOK AT THE LANCZOS-ALGORITHM FOR SOLVING SYMMETRIC-SYSTEMS OF LINEAR-EQUATIONS

被引：66

作者：

PARLETT, BN ^{[1
]}

机构：

[1] UNIV CALIF BERKELEY,DEPT ELECT ENGN & COMP SCI,BERKELEY,CA 94720

来源：

关键词：

D O I：

10.1016/0024-3795(80)90248-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：323 / 346

页数：24

共 19 条

[1] METHODS OF CONJUGATE GRADIENTS FOR SOLVING LINEAR SYSTEMS [J].

HESTENES, MR ;

STIEFEL, E .

JOURNAL OF RESEARCH OF THE NATIONAL BUREAU OF STANDARDS, 1952, 49 (06) :409-436

[2]

HOUSEHOLDER AS, 1964, THEORY MATRICES NUME, P139

[3]

JENNINGS A, 1977, J I MATH APPL, V20, P307

[4]

KAHAN W, 1976, SPARSE MATRIX COMPUT

[5] ESTIMATES FOR SOME COMPUTATIONAL TECHNIQUES IN LINEAR ALGEBRA [J].

KANIEL, S .

KERSHAW, DS .

[7] SOLUTION OF SYSTEMS OF LINEAR EQUATIONS BY MINIMIZED ITERATIONS [J].

LANCZOS, C .

JOURNAL OF RESEARCH OF THE NATIONAL BUREAU OF STANDARDS, 1952, 49 (01) :33-53

LANCZOS, C .

JOURNAL OF RESEARCH OF THE NATIONAL BUREAU OF STANDARDS, 1950, 45 (04) :255-282

MEIJERINK, JA ;

VANDERVORST, HA .

[10]

Paige C. C., 1972, Journal of the Institute of Mathematics and Its Applications, V10, P373