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Locally Double α-diagonally Dominant Matrix and its Applications

Jianzhou Liu

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Abstract

Two kinds of locally α-diagonally dominant matrix are proposed and some sufficient conditions are obtained for judging their generalized strictly diagonally dominance. A numerical example is also given to illustrate the effectiveness of our results.

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What this paper is about

Two kinds of locally α-diagonally dominant matrix are proposed and some sufficient conditions are obtained for judging their generalized strictly diagonally dominance. A numerical example is also given to illustrate the effectiveness of our results.

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Available abstract

Two kinds of locally α-diagonally dominant matrix are proposed and some sufficient conditions are obtained for judging their generalized strictly diagonally dominance. A numerical example is also given to illustrate the effectiveness of our results.

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

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