Different characterizations of DMP-inverse of matrices
Kezheng Zuo, Dragana S. Cvetković‐Ilić, Yingjie Cheng
Abstract
In this paper we discuss different properties of DMP-inverse of a square matrix introduced by Malik and Thome [On a new generalized inverse for matrices of an arbitrary index. Applied Mathematics and Computation. 2014;226: 575–580]. We characterize DMP-inverse of a square matrix as an outer inverse with prescribed range and null space, as a (B,C)-inverse and as a Drazin inverse. Also we present several different characterizations based on its range and null space as well some algebraic ones.
Topics & Concepts
InverseMathematicsDrazin inverseInverse elementMatrix (chemical analysis)Null (SQL)Square matrixGeneralized inverseSquare (algebra)Algebraic numberCombinatoricsPure mathematicsMathematical analysisSymmetric matrixGeometryComputer scienceChemistryPhysicsDatabaseSemigroupEigenvalues and eigenvectorsSpecial classes of semigroupsChromatographyQuantum mechanicsMatrix Theory and AlgorithmsAdvanced Optimization Algorithms ResearchNeural Networks and Applications