2012Shuxue de shijian yu renshiRequires access

Some Criteria for Generalized Strictly Diagonally Dominant Matrices

Zhou Xiao

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Abstract

In this paper,we adopt M-matrix and a-diagonally dominant matrix,for 0≤α≤1,using Holder inequality and give some criteria for generalized strictly diagonally dominant matrix.Thus some recent given results are improved and generalized.New criteria's advantages are illustrated by some numerical examples.

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In this paper,we adopt M-matrix and a-diagonally dominant matrix,for 0≤α≤1,using Holder inequality and give some criteria for generalized strictly diagonally dominant matrix.Thus some recent given results are improved and generalized.New criteria's advantages are illustrated by some numerical examples.

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Available abstract

In this paper,we adopt M-matrix and a-diagonally dominant matrix,for 0≤α≤1,using Holder inequality and give some criteria for generalized strictly diagonally dominant matrix.Thus some recent given results are improved and generalized.New criteria's advantages are illustrated by some numerical examples.

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

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