In this paper we provide theoretical tools for dealing with the spectral properties of general
sequences of matrices of increasing dimension. More specifically, we give a unified …

We present two new ways of preconditioning sequences of nonsymmetric linear systems in
the special case where the implementation is matrix free. Both approaches are fully …

In this paper we study the structural properties of matrices coming from high-precision Finite
Difference (FD) formulae, when discretizing elliptic (or semielliptic) differential operators L …

In this paper we are concerned with the approximation of multilevel Toeplitz matrices
generated by multivariate rectangular matrix-valued continuous (also L 2) functions …

Throughout this paper we consider the Poisson equations in two dimensions. By the
collocation methods based on radial basis functions and by exploiting some tools in …

In the past few years several authors have studied the preconditioning of collocation
matrices by finite differences (FDs) matrices arising from the associated collocation points …

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In the present paper, we consider a preconditioning strategy for Finite Element (FE) matrix
sequences A n (a) n discretizing the elliptic problem\left {A_a u ≡ (-)^ k ∇^ ka (x, y) ∇^ ku …

Starting from a set X= Xn n of Hermitian positive definite n*n matrices, we constructively
define a class \calLL(X) of" locally X" matrices which can be viewed as the range of a special …

We consider a preconditioning strategy for finite differences (FD) matrix sequences
{A_n(a,Ω)\}_n discretizing the elliptic problem eq: pde-abs\left {A_ au ≡ (-)^ k ∇^ ka (x) ∇ …