@Article{JICS-19-15, author = {Wang , YujieZhu , Lei and Xu , Weiwei}, title = {New Perturbation Analysis of Generalized Singular Values of Grassmann Matrix Pairs with Arbitrary Permutation}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {19}, number = {1}, pages = {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.

}, issn = {3080-180X}, doi = {https://doi.org/10.4208/JICS-2024-002}, url = {http://global-sci.org/intro/article_detail/jics/23877.html} }