2 POLYNOMIAL METHODS OF CALCULATING FUNCTIONS OF SYMMETRICAL MATRICES

被引：117

作者：

DRUSKIN, VL

KNIZHNERMAN, LA

机构：

来源：

USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 1989年 / 29卷 / 06期

关键词：

D O I：

10.1016/S0041-5553(89)80020-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Methods of calculating f(A)phi, where A is a symmetric matrix and phi is a vector, using operator Chebyshev series and the Lanczos method, are considered. The efficiency of the proposed methods is demonstrated by the numerical solution of the two-dimensional heat-conduction equation. Error bounds are derived for the functions f(A) of the form exp(-tA), exp(-tA1/2), cos(tA1/2), and A-1

引用

页码：112 / 121

页数：10

共 20 条

[1] Abramowitz M., 1964, HDB MATH FUNCTIONS
[2] BABENKO KI, 1986, FUNDAMENTALS NUMERIC
[3] Bateman H., 1974, HIGHER TRANSCENDENTA, V2
[4] DRUSKIN VL, 1987, UNPUB USE OPERATOR S
[5] GODUNOV SK, 1973, DIFFERENCE SCHEMES
[6] IKRAMOV KD, 1982, ITOGI NAUKI TEKHN MA, V20, P179
[7] LEBEDEV VI, 1987, 177 OTD VYCH MAT AK
[8] LOKUTSIYEVSKII VO, 1984, 99 IPMAT AK NAUK SSS
[9] 19 DUBIOUS WAYS TO COMPUTE EXPONENTIAL OF A MATRIX
MOLER, C
VANLOAN, C
[J]. SIAM REVIEW, 1978, 20 (04) : 801 - 836
[10] DYNAMIC ANALYSIS OF STRUCTURES USING LANCZOS COORDINATES
NOUROMID, B
CLOUGH, RW
[J]. EARTHQUAKE ENGINEERING & STRUCTURAL DYNAMICS, 1984, 12 (04) : 565 - 577

← 1 2 →