Characterizations and representations for the CMP inverse and its application
Haifeng Ma
Abstract
We present characterizations and representations for the CMP inverse. Also, we explore the CMP inverse of a block triangular matrix and its sign pattern, propose a successive matrix squaring algorithm for computing the CMP inverse, derive perturbation bounds and the continuity of the CMP inverse.
Topics & Concepts
InverseMathematicsDrazin inverseMatrix (chemical analysis)Inverse elementSign (mathematics)Generalized inverseInverse functionMultiplicative inverseApplied mathematicsAlgorithmPure mathematicsMathematical analysisGeometryMaterials scienceSemigroupComposite materialSpecial classes of semigroupsMatrix Theory and AlgorithmsNeural Networks and ApplicationsBlind Source Separation Techniques