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Volume 1, Issue 3
Perturbation Theorems for Generalized Singular Values

Ji-Guang Sun

J. Comp. Math., 1 (1983), pp. 233-242.

Published online: 1983-01

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  • Abstract

Let $A$ and $B$ be $m×n$ and $p×n$ complex matrices respectively. This paper, as a continuation of the author's papers [7], discusses perturbation bounds for the generalized singular values of the Matrix-pair{$A$,$B$} in the case of rank$\left( \begin{array}{c} A \\ B \\ \end{array} \right)$＜$n$.

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@Article{JCM-1-233, author = {Ji-Guang Sun}, title = {Perturbation Theorems for Generalized Singular Values}, journal = {Journal of Computational Mathematics}, year = {1983}, volume = {1}, number = {3}, pages = {233--242}, abstract = {

Let $A$ and $B$ be $m×n$ and $p×n$ complex matrices respectively. This paper, as a continuation of the author's papers [7], discusses perturbation bounds for the generalized singular values of the Matrix-pair{$A$,$B$} in the case of rank$\left( \begin{array}{c} A \\ B \\ \end{array} \right)$＜$n$.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9699.html} }
TY - JOUR T1 - Perturbation Theorems for Generalized Singular Values AU - Ji-Guang Sun JO - Journal of Computational Mathematics VL - 3 SP - 233 EP - 242 PY - 1983 DA - 1983/01 SN - 1 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9699.html KW - AB -

Let $A$ and $B$ be $m×n$ and $p×n$ complex matrices respectively. This paper, as a continuation of the author's papers [7], discusses perturbation bounds for the generalized singular values of the Matrix-pair{$A$,$B$} in the case of rank$\left( \begin{array}{c} A \\ B \\ \end{array} \right)$＜$n$.

Ji-Guang Sun. (1983). Perturbation Theorems for Generalized Singular Values. Journal of Computational Mathematics. 1 (3). 233-242. doi:
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