Worst-case optimal approximation with increasingly flat Gaussian kernels
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-020-09767-1
Abstract: We study worst-case optimal approximation of positive linear functionals in reproducing kernel Hilbert spaces induced by increasingly flat Gaussian kernels. This provides a new perspective and some generalisations to the problem of interpolation with increasingly… read more here.
Keywords: flat gaussian; case; case optimal; increasingly flat ... See more keywords
On optimal approximation in periodic Besov spaces
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.02.027
Abstract: Abstract We work with spaces of periodic functions on the d-dimensional torus. We show that estimates for L ∞ -approximation of Sobolev functions remain valid when we replace L ∞ by the isotropic periodic Besov… read more here.
Keywords: besov spaces; approximation periodic; besov space; besov ... See more keywords
Non-unit Traveling Wave Protection of HVDC Grids Using Levenberg–Marquart Optimal Approximation
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Power Delivery"
DOI: 10.1109/tpwrd.2020.2964717
Abstract: The fast and selective protection using fast dc circuit breaker to break the fault current and isolate faulty lines satisfies the requirement of fault clearance in HVDC grids. However, traditional derivative-based traveling wave protection suffers… read more here.
Keywords: hvdc; traveling wave; wave protection; optimal approximation ... See more keywords
The generalized orthogonal solutions of the matrix inverse problem AX=B and optimal approximation
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DOI: 10.2298/fil1713023l
Abstract: In this paper, the generalized orthogonal solutions to the matrix inverse problem $AX=B$ and associated optimal approximation problem are considered. The properties and structure of generalized orthogonal matrices are given, the relationships between the generalized orthogonal… read more here.
Keywords: matrix inverse; inverse problem; generalized orthogonal; optimal approximation ... See more keywords