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
收藏
页码：311 / 322
页数：12
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