K-subdirect sums of Nekrasov matrices
Zhenhua Lyu, Xueru Wang, Lishu Wen
Abstract
In this paper, we give a sufficient and necessary condition for the subdirect sum of a Nekrasov matrix and a strictly diagonally dominant matrix being still a Nekrasov matrix. Adopting this sufficient and necessary condition, we present several simple sufficient conditions ensuring that the subdirect sum of Nekrasov matrices is in the same class. Examples are reported to illustrate the theoretical results.
Topics & Concepts
MathematicsDiagonally dominant matrixDiagonalMatrix (chemical analysis)Simple (philosophy)Pure mathematicsCombinatoricsClass (philosophy)GeometryComputer scienceArtificial intelligenceInvertible matrixMaterials scienceEpistemologyComposite materialPhilosophygraph theory and CDMA systemsAdvanced Mathematical Theories and ApplicationsMathematical Inequalities and Applications