Spectral analysis in connection with iterative solution of convection-diffusion equation.
Approximation of the minimal Geršgorin set of a square complex matrix.
A new Geršgorin-type eigenvalue inclusion set.
Convergence of the accelerated overrelaxation method
The convergence of the Accelerated Overrelaxation (AOR) method is discussed. It is shown that the intervals of convergence for the parameters and are not always of the following form: .
Generalizations of Nekrasov matrices and applications
In this paper we present a nonsingularity result which is a generalization of Nekrasov property by using two different permutations of the index set. The main motivation comes from the following observation: matrices that are Nekrasov matrices up to the same permutations of rows and columns, are nonsingular. But, testing all the permutations of the index set for the given matrix is too expensive. So, in some cases, our new nonsingularity criterion allows us to use the results already calculated...
Characterization of α1 and α2-matrices
This paper deals with some properties of α1-matrices and α2-matrices which are subclasses of nonsingular H-matrices. In particular, new characterizations of these two subclasses are given, and then used for proving algebraic properties related to subdirect sums and Hadamard products.
Editors’ preface for the topical issue “Advances in Numerical Analysis and Numerical Linear Algebra”
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