2013Gongcheng shuxue xuebaoRequires access

Iterative Codes for Nonsingular H-Matrices

Zhou Weiwe

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Abstract

Nonsingular H-matrices play a very important role in matrix theory, economical mathematics, physics and power system theory, etc. In this paper, some new iterative codes for nonsingular H-matrices are given according to the relations of α-diagonally dominant matrices and nonsingular H-matrices, which extend and improve some related results. Efectiveness of these iterative codes is illustrated by the numerical example.

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What this paper is about

Nonsingular H-matrices play a very important role in matrix theory, economical mathematics, physics and power system theory, etc. In this paper, some new iterative codes for nonsingular H-matrices are given according to the relations of α-diagonally dominant matrices and nonsingular H-matrices, which extend and improve some related results. Efectiveness of these iterative codes is illustrated by the numerical example.

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Available abstract

Nonsingular H-matrices play a very important role in matrix theory, economical mathematics, physics and power system theory, etc. In this paper, some new iterative codes for nonsingular H-matrices are given according to the relations of α-diagonally dominant matrices and nonsingular H-matrices, which extend and improve some related results. Efectiveness of these iterative codes is illustrated by the numerical example.

Key concepts: Invertible matrix, Diagonally dominant matrix, Mathematics, Matrix (chemical analysis), Iterative method, Algebra over a field, Pure mathematics, Discrete mathematics

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