New Perturbation Analysis of Generalized Singular Values of Grassmann Matrix Pairs with Arbitrary Permutation
Year: 2024
Author: Yujie Wang, Lei Zhu, Weiwei Xu
Journal of Information and Computing Science, Vol. 19 (2024), Iss. 1 : pp. 15–40
Abstract
In this paper we give new perturbation analysis of generalized singular values of Grassmann matrix pairs with arbitrary permutation from a new perspective. The new explicit expressions of the chordal metric between generalized singular values of Grassmann matrix pairs with arbitrary permutation are presented, which result in only two small-size singular value decompositions to evaluate. The proposed results are generalizations of several results on bounds on perturbation of generalized singular values.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/JICS-2024-002
Journal of Information and Computing Science, Vol. 19 (2024), Iss. 1 : pp. 15–40
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: Perturbation analysis Chordal metric Generalized singular value Grassman matrix pair Arbitrary permutation.