EFFICIENT COMPUTATION OF THE MATRIX EXPONENTIAL USING PADE-APPROXIMATION

被引：3

作者：

LIN, YY

HWANG, LP

机构：

[1] NATL TAIWAN UNIV,DEPT CHEM,TAIPEI,TAIWAN

[2] ACAD SINICA,INST ATOM & MOLEC SCI,TAIPEI 115,TAIWAN

来源：

COMPUTERS & CHEMISTRY | 1992年 / 16卷 / 04期

关键词：

D O I：

10.1016/0097-8485(92)80048-5

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

A modified Pade approximation has been proposed to calculate the matrix exponential involved in the numerical solution of linear evolution equations. If the exponential matrix has a band structure, a factorization method may then be conveniently used to reduce computation flops. Numerical solutions of the heat-conduction equation and time-dependent Schrodinger equation are given as numerical examples to illustrate the feasibility. An increase in efficiency and accuracy over conventional methods is obtained.

引用

页码：285 / 293

页数：9

共 23 条

[1]

Baker Jr. G. A., 1981, PADE APPROXIMANTS 2

[2]

Cody W. J., 1969, J APPROXIMATION THEO, V2, P50

[3]

Dongarra Jack J, 1979, LINPACK USERS GUIDE

[4]

EHLE BL, 1975, J I MATH APPL, V16, P11