Algebraic techniques for least squares problems in commutative quaternionic theory
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DOI: 10.1002/mma.6135
Abstract: Due to the rise of commutative quaternion in Hopfield neural networks, digital signal, and image processing, one encounters the approximate solution problems of the commutative quaternion linear equations AX≈B and AXC≈B . This paper, by… read more here.
Keywords: squares problems; commutative quaternion; least squares; commutative quaternionic ... See more keywords
A system of matrix equations over the commutative quaternion ring
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DOI: 10.2298/fil2301097x
Abstract: In this paper, we propose a necessary and sufficient condition for the solvability to a system of matrix equations over the commutative quaternion ring, and establish an expression of its general solution when it is… read more here.
Keywords: system; equations commutative; matrix equations; commutative quaternion ... See more keywords