NUMERICAL VALIDATION FOR AN INVERSE MATRIX EIGENVALUE PROBLEM

被引：4

作者：

ALEFELD, G ^{[1
]}

GIENGER, A ^{[1
]}

MAYER, G ^{[1
]}

机构：

[1] UNIV ROSTOCK,FACHBEREICH MATH,D-18051 ROSTOCK,GERMANY

来源：

COMPUTING | 1994年 / 53卷 / 3-4期

关键词：

INVERSE EIGENVALUE PROBLEM; ENCLOSURE FOR THE INVERSE EIGENVALUE PROBLEM; INTERVAL COMPUTATION; NEWTONS METHOD;

D O I：

10.1007/BF02307382

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We describe an algorithm with which one can verify solutions of an additive inverse matrix eigenvalue problem. The algorithm is based on Newton's method using a new criterion for terminating the iteration. In addition, it yields tight interval bounds for the solutions of the problem, thus guaranteeing most of their leading digits in a given floating point system.

引用

页码：311 / 322

页数：12

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