An Ulm-like algorithm for generalized inverse eigenvalue problems

In this paper, we study the numerical solutions of the generalized inverse eigenvalue problem (for short, GIEP). Motivated by Ulm’s method for solving general nonlinear equations and the algorithm of Aishima (J. Comput. Appl. Math. 367 , 112485 2020 ) for the GIEP, we propose here an Ulm-like algori...

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Bibliographic Details
Published in:	Numerical algorithms Vol. 98; no. 3; pp. 1611 - 1641
Main Authors:	Luo, Yusong, Shen, Weiping
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.03.2025 Springer Nature B.V
Subjects:	Algebra Algorithms Approximation Computer Science Eigenvalues Eigenvectors Generalized inverse Jacobi matrix method Methods Nonlinear equations Numeric Computing Numerical Analysis Original Paper Theory of Computation Quadratic convergence Newton’s method 65F15 Generalized inverse eigenvalue problem 65H17 Ulm’s method 15A18 15A29
ISSN:	1017-1398, 1572-9265
Online Access:	Get full text
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