In this paper, we consider solving the BTTB system \calT_m,nfx=b by the preconditioned
conjugate gradient (PCG) method, where \calT_m,nf denotes the m× m block Toeplitz matrix …

In this paper we study n× n real, non-symmetric, ill conditioned Toeplitz systems of the form T
n (f) x= b. The corresponding generating function is a complex valued one of the form f= f 1+ …

Large 2‐level Toeplitz systems arise in many applications and thus an efficient strategy for
their solution is often needed. The already known methods require the explicit knowledge of …

We are concerned with the study and the design of optimal preconditioners for ill-
conditioned Toeplitz systems that arise from a priori known real-valued nonnegative …

In this thesis we study the preconditioning of square, non-symmetric and real Toeplitz
systems. We prove theoretical results, which constitute sufficient conditions for the efficiency …

Toeplitz systems appear in a variety of applications in real life such as signal processing,
image processing and restoration and discretization of PDEs. The fast convergence to the …

This work studies the asymptotic behavior of the spectral condition number of the matrices $
A_ {nn} $ arising from the discretization of semi-elliptic partial differential equations of the …

In this paper, we consider solving the least squares problem minx‖ b-Tx‖ 2 by using
preconditioned conjugate gradient (PCG) methods, where T is a large rectangular matrix …

In this work, we investigate an approximation problem for matrix valued positive linear
operators of two variables. Also using the A-statistical convergence which is stronger than …

In this paper, using the notion of A-statistical convergence from the summability theory, we
obtain a Korovkin-type theorem for the approximation by means of matrixvalued linear …