In this paper, we provide some new necessary and sufficient conditions for generalized diagonally dominant matrices and also obtain some criteria for nongeneralized dominant matrices.
In this paper, we provide some new criteria conditions for generalized strictly diagonally dominant matrices, such that the corresponding results in [1] are generalized and improved.
The nonsingular H-matrices play an important role in the study of the matrix theory and the iterative method of systems of linear equations, etc. It has always been searched how to verify nonsingular H-matrices. In th...The nonsingular H-matrices play an important role in the study of the matrix theory and the iterative method of systems of linear equations, etc. It has always been searched how to verify nonsingular H-matrices. In this paper, nonsingular H-matrices is studies by applying diagonally dominant matrices, irreducible diagonally dominant matrices and comparison matrices and several practical criteria for identifying nonsingular H-matrices are obtained.展开更多
文摘In this paper, we provide some new necessary and sufficient conditions for generalized diagonally dominant matrices and also obtain some criteria for nongeneralized dominant matrices.
基金Supported by the Nature Science Foundation of Henan Province（2003110010）
文摘In this paper, we provide some new criteria conditions for generalized strictly diagonally dominant matrices, such that the corresponding results in [1] are generalized and improved.
文摘The nonsingular H-matrices play an important role in the study of the matrix theory and the iterative method of systems of linear equations, etc. It has always been searched how to verify nonsingular H-matrices. In this paper, nonsingular H-matrices is studies by applying diagonally dominant matrices, irreducible diagonally dominant matrices and comparison matrices and several practical criteria for identifying nonsingular H-matrices are obtained.
