Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations

By Ivan Kyrchei. 2012

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Abstract Within the framework of the theory of the column and row determinants, we obtain explicit representation formulas (analogs of Cramer’s rule) for the minimum norm least squares solutions of quaternion matrix equations AX = B , XA = B and AXB = D .

Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/9cc5c1af8c14b989b77cdb141da145a2a7d43f54