Work

Sensitivity Analysis of Eigenvalues for PDNT Toeplitz Matrices

Year: 2025

Type: article

Abstract: This study focuses on a class of perturbed Dirichlet–Neumann tridiagonal (PDNT) Toeplitz matrices, mainly exploring their eigenvalue sensitivity and inverse problems. By the explicit expressions for eigenvalues and eigenvectors of PDNT Toeplitz matrices, an analytical formula for the eigenvalue condition number is proposed, and numerical experiments are presented based on the theoretical results. Meanwhile, the stability of eigenvalues is analyzed with respect to structured perturbations and pseudospectral properties, and finally, two inverse eigenvalue problems are discussed.

Source: Axioms

DOI: 10.3390/axioms14100739

Authors: Zhaolin Jiang, Hongxiao Chu, Qiaoyun Miao, Ziwu Jiang

Institutions: Linyi University, Shandong Vocational and Technical University of International Studies, Qingdao University

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funders: Department of Science and Technology of Shandong Province, Natural Science Foundation of Shandong Province