On Condition Numbers for the Weighted Moore-Penrose Inverse and the Weighted Least Squares Problem involving Kronecker Products
Year: 2014
East Asian Journal on Applied Mathematics, Vol. 4 (2014), Iss. 1 : pp. 1–20
Abstract
We establish some explicit expressions for norm-wise, mixed and componentwise condition numbers for the weighted Moore-Penrose inverse of a matrix $A⊗B$ and more general matrix function compositions involving Kronecker products. The condition number for the weighted least squares problem (WLS) involving a Kronecker product is also discussed.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.230313.070913a
East Asian Journal on Applied Mathematics, Vol. 4 (2014), Iss. 1 : pp. 1–20
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: (Weighted) Moore-Penrose inverse weighted least squares Kronecker product condition number.
-
An efficient real structure-preserving algorithm for the quaternion weighted least squares problem with equality constraint
Zhang, Fengxia | Li, YingJournal of Applied Mathematics and Computing, Vol. 69 (2023), Iss. 6 P.4287
https://doi.org/10.1007/s12190-023-01926-z [Citations: 0] -
Condition numbers of the minimum norm least squares solution for the least squares problem involving Kronecker products
Meng, Lingsheng | Li, LiminAIMS Mathematics, Vol. 6 (2021), Iss. 9 P.9366
https://doi.org/10.3934/math.2021544 [Citations: 1] -
New facts related to dilation factorizations of Kronecker products of matrices
Tian, Yongge | Yuan, RuixiaAIMS Mathematics, Vol. 8 (2023), Iss. 12 P.28818
https://doi.org/10.3934/math.20231477 [Citations: 0]