Diagonal dominance and invertibility of matrices

Charles Royal Johnson,Carlos Marijuan,Miriam Pisonero

SPECIAL MATRICES（2023）

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摘要

A weakly diagonally dominant matrix may or may not be invertible. We characterize, in terms of combinatorial structure and sign pattern when such a matrix is invertible, which is the common case. Examples are given.

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关键词

cycle lengths,invertibility,matrices of odd (even) type,(weak) diagonal dominance

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