QUASI-BLOCK TOEPLITZ MATRIX IN MATLAB

In this paper we try to approximate any properties of quasi-block Toeplitz matrix (QBT), by means of a finite number of parameters. A quasi-block Toeplitz (QBT) matrix is a semi-infinite block matrix of the kind F = T(F) + E where [Please download the PDF to view the mathematical expression], that [F.sub.k] are m x m matrices such that [Please download the PDF to view the mathematical expression] has bounded entries, and [Please download the PDF to view the mathematical expression] is a compact correction. Also, we should say the norms [Please download the PDF to view the mathematical expression] [F.sub.i] [parallel] and [parallel] E [[parallel].sub.2] are finite. QBT-matrices are done with any given precision. The norm [Please download the PDF to view the mathematical expression], is for [alpha] = (1 + [square root of 5])/2. These matrices are a Banach algebra with the standard arithmetic operations. We try to analysis some structures and computational properties for arithmetic operations of QBT matrices with some MATLAB commands. Keywords: Quasi-Block Toeplitz matrix, Banach algebra, Matlab. AMS Subject Classification: 65F30, 60B20.