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

Mathematics – Rings and Algebras

Scientific paper

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arXiv admin note: text overlap with arXiv:1005.0736 and arXiv:1004.4380

Scientific paper

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 ${\bf A}
{\bf X} = {\bf B}$, $ {\bf X} {\bf A} = {\bf B}$ and ${\bf A} {\bf X} {\bf B} =
{\bf D} $.

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