关键词: Nekrasov 矩阵, 非奇异H-矩阵, 对角Schur补

Abstract: Generalized Nekrasov matrices have wide applications in economic mathematics,control theory and numerical algebra.In this paper,we consider the criteria of generalized Nekrasov matrices.Firstly,by applying inequality techniques and constructing positive diagonal matrix factors,we obtain several new criteria of generalized Nekrasov matrices based on the matrix elements, which extend some of the recent results.Then we give corresponding numerical examples to illustrate the effectiveness of the derived results.

Key words:

"> Nekrasov matrices, Nonsingular H –matrces, Diagonal Schur complement