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2016•Jilin Normal University JournalRequires access

Practical Iterative Criteria for Nonsingular H-matrices

Zhang Jun-l

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Abstract

Nonsingular H-matrix is a special class of matrices and plays a very important role in numerical computation,matrix theory and control theory,etc. In this paper,some new criteria were given according to the relations of α-diagonally dominant matrices and nonsingular H-matrices,which extented and improved some related results. Effectiveness of these criteria was illustrated by numerical examples.

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What this paper is about

Nonsingular H-matrix is a special class of matrices and plays a very important role in numerical computation,matrix theory and control theory,etc. In this paper,some new criteria were given according to the relations of α-diagonally dominant matrices and nonsingular H-matrices,which extented and improved some related results. Effectiveness of these criteria was illustrated by numerical examples.

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Available abstract

Nonsingular H-matrix is a special class of matrices and plays a very important role in numerical computation,matrix theory and control theory,etc. In this paper,some new criteria were given according to the relations of α-diagonally dominant matrices and nonsingular H-matrices,which extented and improved some related results. Effectiveness of these criteria was illustrated by numerical examples.

Key concepts: Invertible matrix, Diagonally dominant matrix, Mathematics, Matrix (chemical analysis), Computation, Algebra over a field, Class (philosophy), Pure mathematics

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