On k-Circulant Matrices Involving the Pell Numbers
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DOI: 10.1007/s00025-019-1121-9
Abstract: Let k be a nonzero complex number. In this paper, we consider a k-circulant matrix whose first row is $$(P_{1},P_{2},\dots ,P_{n})$$(P1,P2,⋯,Pn), where $$P_{n}$$Pn is the nth Pell number, and obtain the formulae for the eigenvalues… read more here.
Keywords: pell numbers; circulant matrix; involving pell; circulant matrices ... See more keywords
A circulant-matrix-based new accelerated GSOR preconditioned method for block two-by-two linear systems from image restoration problems
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DOI: 10.1016/j.apnum.2021.01.005
Abstract: Abstract In this paper, we construct a circulant-matrix-based new accelerated GSOR (CNAGSOR) iteration method for a class of large and sparse block two-by-two linear systems of generalized saddle-point structure. Theoretical results about the convergence properties… read more here.
Keywords: new accelerated; matrix based; circulant matrix; block two ... See more keywords
Sketch Kernel Ridge Regression Using Circulant Matrix: Algorithm and Theory
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DOI: 10.1109/tnnls.2019.2944959
Abstract: Kernel ridge regression (KRR) is a powerful method for nonparametric regression. The time and space complexity of computing the KRR estimate directly are $\mathcal {O}(n^{3})$ and $\mathcal {O}(n^{2})$ , respectively, which are prohibitive for large-scale… read more here.
Keywords: regression; tex math; matrix; circulant matrix ... See more keywords