Journal
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
Volume 28, Issue 12, Pages 1719-1746Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/17415977.2020.1763982
Keywords
Inverse eigenvalue problem; parameterized generalized inverse eigenvalue problems; Cholesky factorization; L-BFGS-B method; Jacobi rotation; Newton's method
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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.
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