2008•Journal of Wenzhou UniversityRequires access

Criteria for Generalized Diagonally Dominant Matrices and Nonsingular M-matrix

Feng Wang

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Abstract

This paper gives sufficient conditions for determining a complex square matrix to be a generalized diagonally dominant matrix and a complex square matrix’s comparative matrix to be a nonsingular M-matrix.At the same time,a criteria method for non-generalized diagonal dominant matrices is given in this paper.

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What this paper is about

This paper gives sufficient conditions for determining a complex square matrix to be a generalized diagonally dominant matrix and a complex square matrix’s comparative matrix to be a nonsingular M-matrix.At the same time,a criteria method for non-generalized diagonal dominant matrices is given in this paper.

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Available abstract

This paper gives sufficient conditions for determining a complex square matrix to be a generalized diagonally dominant matrix and a complex square matrix’s comparative matrix to be a nonsingular M-matrix.At the same time,a criteria method for non-generalized diagonal dominant matrices is given in this paper.

Key concepts: Invertible matrix, Diagonally dominant matrix, Square matrix, Mathematics, Matrix (chemical analysis), Band matrix, Involutory matrix, Matrix splitting

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