Korovkin theorems and linear positive Gram matrix algebra approximations of Toeplitz matrices
type: Item
instance of: scholarly article
title: Korovkin theorems and linear positive Gram matrix algebra approximations of Toeplitz matrices
zbMATH Open document ID: 0936.65059
DOI: 10.1016/S0024-3795(98)10072-1
author: Stefano Serra Capizzano
published in: Linear Algebra and its Applications
publication date: 1999-11-28T00:00:00Z
review text: This paper is related to the approximation of Toeplitz matrices generated by continuous 2-periodic functions. The author defines a class of preconditioners related to suitable choices of Gram functions, and then he introduces a Weierstrass matrix theory to approximate the original Toeplitz operator in a fixed sequence of Gram matrix algebras. The convergence properties of the optimal operator are analyzed, and then he deals with band-Toeplitz approximation.
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 47N40
Mathematics Subject Classification ID: 41A36
zbMATH DE Number: 1371017
zbMATH Keywords: Korovkin theorems
zbMATH Keywords: linear positive Gram matrix algebra
zbMATH Keywords: Toeplitz matrices
zbMATH Keywords: preconditioners
zbMATH Keywords: Gram functions
zbMATH Keywords: Weierstrass matrix theory
zbMATH Keywords: convergence
reviewed by: Guy Jumarie
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1371017