A LARGE, SPARSE, AND INDEFINITE GENERALIZED EIGENVALUE PROBLEM FROM FLUID-MECHANICS

被引：11

作者：

MITTELMANN, HD ^{[1
]}

LAW, CC ^{[1
]}

JANKOWSKI, DF ^{[1
]}

NEITZEL, GP ^{[1
]}

机构：

[1] ARIZONA STATE UNIV,DEPT MECH & AEROSP ENGN,TEMPE,AZ 85287

来源：

SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING | 1992年 / 13卷 / 01期

关键词：

EIGENVALUE PROBLEM; THERMOCAPILLARY CONVECTION; ENERGY STABILITY; INVERSE ITERATION;

D O I：

10.1137/0913022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A numerical method for calculating the minimum positive eigenvalue of a sparse, indefinite, Hermitian algebraic problem has been developed. The method is based on inverse iteration and is a generalization of a procedure previously employed for the simpler problem of finding the smallest eigenvalue of a positive-definite matrix. Motivation was provided by a three-dimensional research problem from hydrodynamic stability. Stability limits obtained from the application of the method to a previously studied problem axe compared to independently determined results.

引用

页码：411 / 424

页数：14

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