Volume 4, Issue 1
On Condition Numbers for theWeighted Moore-Penrose Inverse and the Weighted Least Squares Problem involving Kronecker Products

T. T. Chen and W. Li

10.4208/eajam.230313.070913a

East Asian J. Appl. Math., 4 (2014), pp. 1-20.

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  • 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.

  • History

Published online: 2018-02

  • AMS Subject Headings

65F10

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