Solving generalized inverse eigenvalue problems via L-BFGS-B method

被引：13

作者：

Dalvand, Zeynab ^{[1
]}

Hajarian, Masoud ^{[1
]}

机构：

[1] Shahid Beheshti Univ, Fac Math Sci, Dept Math, Gen Campus, Tehran 19839, Iran

来源：

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2020年 / 28卷 / 12期

关键词：

Inverse eigenvalue problem; parameterized generalized inverse eigenvalue problems; Cholesky factorization; L-BFGS-B method; Jacobi rotation; Newton's method; SUFFICIENT CONDITIONS; ALGORITHM; SOLVABILITY; MODEL; SOLUBILITY; BCR;

D O I：

10.1080/17415977.2020.1763982

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The parameterized generalized inverse eigenvalue problems containing multiplicative and additive inverse eigenvalue problems appear in vibrating systems design, structural design, and inverse Sturm-Liouville problems. In this article, by using the Cholesky factorization and the Jacobi method, we propose two efficient algorithms based on Newton's method and the L-BFGS-B method for solving these problems. To demonstrate the effectiveness of the algorithms, we present three numerical examples.

引用

页码：1719 / 1746

页数：28

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