Korovkin theorems and linear positive Gram matrix algebra approximations of Toeplitz matrices
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.
scientific article; zbMATH DE number 1371017
scientific article