East Asian J. Appl. Math., 4 (2014), pp. 1-20.
Published online: 2018-02
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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.
}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.230313.070913a}, url = {http://global-sci.org/intro/article_detail/eajam/10817.html} }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.