Criteria for Generalized Diagonally Dominant Matrices and Nonsingular M-matrix
Feng Wang
Abstract
Feng Wang
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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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