Results 231 to 240 of about 109,992 (270)

Uniqueness of an algebraic polynomial of best approximation in the L1 metric

Mathematical Notes of the Academy of Sciences of the USSR, 1981
V. N. Poroshenko
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The Number of Singular Vector Tuples and Uniqueness of Best Rank-One Approximation of Tensors

Foundations of Computational Mathematics, 2012
In this paper we discuss the notion of singular vector tuples of a complex-valued d\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage ...
S. Friedland, G. Ottaviani
semanticscholar   +1 more source

Characterizations of the strongly unique best approximations

Numerical Functional Analysis and Optimization, 1985
The purpose of this paper is two folded. First, we present some results on strongly Kolmogorov sets, some of which parallel those for Kolmogorov sets. Secondly, we give two conditions which are sufficient for an element of a strongly Kolmogorov set to be a strongly unique best approximation. Then these conditions are shown to be necessary if additional
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The best approximation pair problem relative to two subsets in a normed space

arXiv.org
In the classical best approximation pair (BAP) problem, one is given two nonempty, closed, convex and disjoint subsets in a finite- or an infinite-dimensional Hilbert space, and the goal is to find a pair of points, each from each subset, which realizes ...
Daniel Reem, Y. Censor
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Existence and Uniqueness of Best Approximations

2001
The main existence theorem of this chapter states that every approximatively compact set is proximinal. This result contains virtually all the existence theorems of interest. In particular, the two most useful existence and uniqueness theorems can be deduced from it.
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Approximation of Limit Cycles by Using Planar Switching Affine Systems with Guarantees for Uniqueness and Stability

European Control Conference
This paper proposes a novel method to approximate a stable and unique limit cycle, as obtained e.g. from simulation of a nonlinear model or from experimental data, by a planar switching affine system (PSAS) while preserving the properties of uniqueness ...
Nils Hanke, Zonglin Liu, Olaf Stursberg
semanticscholar   +1 more source

Uniqueness of Best L1-Approximations of Continuous Functions

1985
The problem of uniqueness of best approximations of continuous vector-valued functions and continuous functions of one and several variables by finite dimensional subspaces in the weighted L1-norm is studied. Characterizations of uniqueness of best approximations are obtained.
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Constants of strong uniqueness for best uniform approximations on compacta

Mathematical Notes of the Academy of Sciences of the USSR, 1983
Translation from Mat. Zametki 34, No.1, 31-46 (Russian) (1983; Zbl 0596.41040).
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Strong uniqueness of best approximations in spaces of bounded linear operators

Science in China Series A, 2004
The present paper is concerned with problems of the strong uniqueness of the best approximation and the characterization of a uniqueness element in operator spaces. Some results on the strong uniqueness of the best approximation operator from RS-sets are proved and the uniqueness element of a sun in the compact operator space from C0 to C0 is ...
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Strong uniqueness of best approximation in spaces of bounded linear operators.

2002
In this paper the problems of strong unicity of best approximation in spaces of bounded linear operators are investigated. Some results on strong uniqueness of linear and nonlinear best approximation are established that extend the results by J. Malbrock (1975), G. Lewicki (1995), C. Li (1998) and others.
Li, Chong, He, Jinsu
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