TY - JOUR
T1 - On Condition Numbers for the Weighted Moore-Penrose Inverse and the Weighted Least Squares Problem involving Kronecker Products
AU - T. T. Chen & W. Li
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 - <p style="text-align: justify;">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.</p>