2015Basic Sciences Journal of Textile UniversitiesRequires access

New criteria for generalized strictly diagonally dominant matrices

Huang Zhengg

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Abstract

In order to get new criteria for generalized strictly diagonally dominant matrices,according to virtue of dividing the matrix row index set andα-diagonally dominant matrix and inequalities scaling,some sufficient conditions for generalized strictly diagonally dominant matrices were obtained,and some related results were improved.The effectiveness of the study is illustrated by numerical examples.

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In order to get new criteria for generalized strictly diagonally dominant matrices,according to virtue of dividing the matrix row index set andα-diagonally dominant matrix and inequalities scaling,some sufficient conditions for generalized strictly diagonally dominant matrices were obtained,and some related results were improved.The effectiveness of the study is illustrated by numerical examples.

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Available abstract

In order to get new criteria for generalized strictly diagonally dominant matrices,according to virtue of dividing the matrix row index set andα-diagonally dominant matrix and inequalities scaling,some sufficient conditions for generalized strictly diagonally dominant matrices were obtained,and some related results were improved.The effectiveness of the study is illustrated by numerical examples.

Key concepts: Diagonally dominant matrix, Mathematics, Diagonal, Matrix (chemical analysis), Scaling, Pure mathematics, Set (abstract data type), Combinatorics

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