SOME INVERSE EIGENPROBLEMS FOR JACOBI AND ARROW MATRICES

被引：9

作者：

BORGES, CF ^{[1
]}

FREZZA, R ^{[1
]}

GRAGG, WB ^{[1
]}

机构：

[1] UNIV PADUA,DEI,I-35131 PADUA,ITALY

来源：

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS | 1995年 / 2卷 / 03期

关键词：

JACOBI MATRIX; ARROW MATRIX; INVERSE PROBLEM;

D O I：

10.1002/nla.1680020302

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the problem of reconstructing Jacobi matrices and real symmetric arrow matrices from two eigenpairs. Algorithms for solving these inverse problems are presented. We show that there are reasonable conditions under which this reconstruction is always possible. Moreover, it is seen that in certain cases reconstruction can proceed with little or no cancellation. The algorithm is particularly elegant for the tridiagonal matrix associated with a bidiagonal singular value decomposition.

引用

页码：195 / 203

页数：9

共 13 条

[1] ERROR ANALYSIS OF UPDATE METHODS FOR THE SYMMETRICAL EIGENVALUE PROBLEM [J].