TY - JOUR T1 - On Condition Numbers for the Weighted Moore-Penrose Inverse and the Weighted Least Squares Problem involving Kronecker Products JO - East Asian Journal on Applied Mathematics VL - 1 SP - 1 EP - 20 PY - 2018 DA - 2018/02 SN - 4 DO - http://doi.org/10.4208/eajam.230313.070913a UR - https://global-sci.org/intro/article_detail/eajam/10817.html KW - (Weighted) Moore-Penrose inverse, weighted least squares, Kronecker product, condition number. AB -

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.