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α-diagonally dominant matrices andcriteria for generalized strictly diagonally dominant matrix

Zhijun Guo

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Abstract

Generalized strictly diagonally dominant matrices play an important role in many fields, but it isn't easy to determine a matrix is a generalized strictly diagonally matrix or not. In this paper, several criteria for generalized strictly diagonally dominant matrices are obtained and some existed results are improved by using the property of α- diagonally dominant matrices, then a numerical example was given to illustrate the effectiveness of the results.

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What this paper is about

Generalized strictly diagonally dominant matrices play an important role in many fields, but it isn't easy to determine a matrix is a generalized strictly diagonally matrix or not. In this paper, several criteria for generalized strictly diagonally dominant matrices are obtained and some existed results are improved by using the property of α- diagonally dominant matrices, then a numerical example was given to illustrate the effectiveness of the results.

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Available abstract

Generalized strictly diagonally dominant matrices play an important role in many fields, but it isn't easy to determine a matrix is a generalized strictly diagonally matrix or not. In this paper, several criteria for generalized strictly diagonally dominant matrices are obtained and some existed results are improved by using the property of α- diagonally dominant matrices, then a numerical example was given to illustrate the effectiveness of the results.

Key concepts: Diagonally dominant matrix, Mathematics, Matrix (chemical analysis), Diagonal, Combinatorics, Pure mathematics, Invertible matrix, Geometry

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