On Density and Bishop–Phelps–Bollobás-Type Properties for the Minimum Norm
Sign Up to like & getrecommendations! Published in 2024 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-024-02705-1
Abstract: We study the set MA(X,Y)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text {MA}}(X,Y)$$\end{document} of operators between Banach spaces X and Y that attain their minimum norm, and the set QMA(X,Y)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}… read more here.
Keywords: 12pt minimal; documentclass 12pt; document; minimal usepackage ... See more keywords
An iterative method to compute minimum norm solutions of ill-posed problems in Hilbert spaces
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DOI: 10.1007/s13370-019-00685-0
Abstract: We study an algorithm to compute minimum norm solution of ill-posed problems in Hilbert spaces and investigate its regularizing properties with discrepancy principle stopping rule. This algorithm results from straightly applying the LSQR method to… read more here.
Keywords: compute minimum; minimum norm; ill posed; method ... See more keywords
Strong convergent algorithm for finding minimum-norm solutions of quasimonotone variational inequalities with fixed point constraint and application
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DOI: 10.1007/s40314-023-02555-9
Abstract: The class of quasimonotone mappings are known to be more general and applicable than the classes of pseudomonotone and monotone mappings. However, only very few results can be found in the literature on quasimonotone variational… read more here.
Keywords: quasimonotone variational; norm solutions; problem; fixed point ... See more keywords
A Discrete-time Distributed Algorithm for Minimum l1-Norm Solution of an Under-determined Linear Equation Set
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DOI: 10.1016/j.ifacol.2020.12.1136
Abstract: This paper proposes a discrete-time, distributed algorithm for multi-agent networks to achieve the minimum l1-norm solution to a group of linear equations known to possess a family of solutions. We assume each agent in the… read more here.
Keywords: discrete time; minimum norm; distributed algorithm; time distributed ... See more keywords
Some remarks on minimum norm attaining operators
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124492
Abstract: Abstract In this paper we investigate continuous linear operators between Banach spaces which attain their minimum norms on the unit sphere. We characterize finite dimensionality of Banach spaces with the help of minimum norm attainment… read more here.
Keywords: minimum norm; norm attaining; continuous linear; attaining operators ... See more keywords
An enhanced frequency dependent subtraction algorithm for removal of cardiac interference from fMEG by using minimum norm projection operator
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DOI: 10.1016/j.jneumeth.2020.108620
Abstract: BACKGROUND A frequency dependent subtraction method, SUBTR, is developed to remove maternal and fetal magnetocardiography (mMCG and fMCG) interference from fetal magnetoencephalography (fMEG). But channels close to fetal head cannot be used as references for… read more here.
Keywords: minimum norm; frequency; interference; subtraction ... See more keywords
Absolute testing of optical flats using minimum norm least squares solutions.
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DOI: 10.1364/oe.534407
Abstract: A laser Fizeau interferometer measures surface form by comparing the wavefronts reflected from a reference surface and the surface under test. The measurement accuracy is limited by the unknown absolute form error of the reference… read more here.
Keywords: absolute testing; norm least; using minimum; least squares ... See more keywords
Minimization over Nonconvex Sets
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DOI: 10.3390/sym16070809
Abstract: Minimum norm problems consist of finding the distance of a closed subset of a normed space to the origin. Usually, the given closed subset is also asked to be convex, thus resulting in a convex… read more here.
Keywords: minimization nonconvex; nonconvex sets; problem; minimum norm ... See more keywords