TY - JOUR
T1 - New Perturbation Analysis of Generalized Singular Values of Grassmann Matrix Pairs with Arbitrary Permutation
AU - Wang , Yujie
AU - Zhu , Lei
AU - Xu , Weiwei
JO - Journal of Information and Computing Science
VL - 1
SP - 15
EP - 40
PY - 2024
DA - 2024/03
SN - 19
DO - http://doi.org/10.4208/JICS-2024-002
UR - https://global-sci.org/intro/article_detail/jics/23877.html
KW - Perturbation analysis, Chordal metric, Generalized singular value, Grassman matrix pair, Arbitrary permutation.
AB - <p style="text-align: justify;">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.</p>