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2013•Journal of MathematicsOpen access

A SET OF SUBDIVIDING AND ITERATIVE CRITERIA FOR NONSINGULAR H-MATRICES

Shan Rui-ping

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Abstract

This paper is focused on the problem of subdividing and iterative criteria for nonsingular H-matrices. By the method of subdivided region and iteration, we subdivide the index set of non diagonally dominant row in a square matrix, and select coefficient progressively, and we obtain a set of subdividing and iterative criteria for nonsingular H-matrices. Some related results are improved. Examples illustrate the effectiveness of these criteria.

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What this paper is about

This paper is focused on the problem of subdividing and iterative criteria for nonsingular H-matrices. By the method of subdivided region and iteration, we subdivide the index set of non diagonally dominant row in a square matrix, and select coefficient progressively, and we obtain a set of subdividing and iterative criteria for nonsingular H-matrices. Some related results are improved. Examples illustrate the effectiveness of these criteria.

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Available abstract

This paper is focused on the problem of subdividing and iterative criteria for nonsingular H-matrices. By the method of subdivided region and iteration, we subdivide the index set of non diagonally dominant row in a square matrix, and select coefficient progressively, and we obtain a set of subdividing and iterative criteria for nonsingular H-matrices. Some related results are improved. Examples illustrate the effectiveness of these criteria.

Key concepts: Invertible matrix, Mathematics, Iterative method, Set (abstract data type), Diagonally dominant matrix, Matrix (chemical analysis), Coefficient matrix, Applied mathematics

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