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
On the Barzilai–Borwein gradient methods with structured secant equation for nonlinear least squares problems
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DOI: 10.1080/10556788.2020.1855170
Abstract: We propose structured spectral gradient algorithms for solving nonlinear least squares problems based on a modified structured secant equation. The idea was to integrate more details of the Hessian... read more here.
Keywords: least squares; secant equation; nonlinear least; squares problems ... See more keywords
Total least squares problems on infinite dimensional spaces
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DOI: 10.1088/1361-6420/abe3dd
Abstract: We study weighted total least squares problems on infinite dimensional spaces. We present some necessary and sufficient conditions for the regularized problem to have a solution. The existence of solution can also be assured for… read more here.
Keywords: total least; least squares; problems infinite; squares problems ... See more keywords