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Analogs of Cramer’s rule for the minimum norm least squares solutions of some matrix equations. (English) Zbl 1242.65078
Author’s abstract: The least squares solutions with the minimum norm of the matrix equations \(\mathbf {AX} = \mathbf B, \mathbf {XA} = B\) and \(\mathbf {AXB}= \mathbf D\) are considered. We use the determinantal representations of the Moore-Penrose inverse obtained earlier by the author and get analogs of the Cramer rule for the minimum norm least squares solutions of these matrix equations.

MSC:
65F30 Other matrix algorithms (MSC2010)
65F20 Numerical solutions to overdetermined systems, pseudoinverses
15A24 Matrix equations and identities
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