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Generalizations of Nekrasov matrices and applications

100%

Cvetković L., Kostić V., Nedović M.

Open Mathematics

2015

tom 13

nr 1

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 in order to conclude that the given matrix is nonsingular. Also, we present new max-norm bounds for the inverse matrix and illustrate these results by numerical examples, comparing the results to some already known bounds for Nekrasov matrices.

Characterization of α1 and α2-matrices

80%

Bru R., Cvetković L., Kostić V., Pedroche F.

Open Mathematics

2010

tom 8

nr 1

32-40

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.

Ograniczanie wyników

2 Open Mathematics

2 Cvetković L.

2 Kostić V.

1 Bru R.

1 Nedović M.

1 Pedroche F.

1 2015

1 2010

Wyniki wyszukiwania

Generalizations of Nekrasov matrices and applications

Characterization of α1 and α2-matrices