Extending EP matrices by means of recent generalized inverses
Copyright policy )Extending EP matrices by means of recent generalized inverses
AbstractIt is well known that a square complex matrix is called EP if it commutes with its Moore–Penrose inverse. In this paper, new classes of matrices which extend this concept are characterized. For that, we consider commutative equalities given by matrices of arbitrary index and generalized inverses recently investigated in the literature. More specifically, these classes are characterized by expressions of type $$A^mX=XA^m$$ A m X = X A m , where X is an outer inverse of a given complex square matrix A and m is an arbitrary positive integer. The relationships between the different classes of matrices are also analyzed. Finally, a picture presents an overview of the overall studied classes.
- National Scientific and Technical Research Council Argentina
- National University of La Pampa Argentina
- Universitat Politècnica de València Spain
- National University of Río Cuarto Argentina
EP MATRIX, WG inverse, Commutativity of matrices, 15A09, 15A27, FOS: Mathematics, https://purl.org/becyt/ford/1.1, Theory of matrix inversion and generalized inverses, DMP INVERSE, https://purl.org/becyt/ford/1, Surface Integral Equations, Matrix Algorithms and Iterative Methods, Core EP inverse, Algebra over a field, Theoretical and Computational Physics, WG INVERSE, Matrix equations and identities, Pure mathematics, DMP inverse, Statistical and Nonlinear Physics, Mathematics - Rings and Algebras, Hierarchical Matrices, core EP inverse, Atomic and Molecular Physics, and Optics, Computational Theory and Mathematics, Physics and Astronomy, WC inverse, Combinatorics, EP matrix, Computer Science, Physical Sciences, Electromagnetic Scattering with Integral Equations, Sparse Linear Systems, CORE EP INVERSE, Iterative Methods, Mathematics, Matrix Computations
EP MATRIX, WG inverse, Commutativity of matrices, 15A09, 15A27, FOS: Mathematics, https://purl.org/becyt/ford/1.1, Theory of matrix inversion and generalized inverses, DMP INVERSE, https://purl.org/becyt/ford/1, Surface Integral Equations, Matrix Algorithms and Iterative Methods, Core EP inverse, Algebra over a field, Theoretical and Computational Physics, WG INVERSE, Matrix equations and identities, Pure mathematics, DMP inverse, Statistical and Nonlinear Physics, Mathematics - Rings and Algebras, Hierarchical Matrices, core EP inverse, Atomic and Molecular Physics, and Optics, Computational Theory and Mathematics, Physics and Astronomy, WC inverse, Combinatorics, EP matrix, Computer Science, Physical Sciences, Electromagnetic Scattering with Integral Equations, Sparse Linear Systems, CORE EP INVERSE, Iterative Methods, Mathematics, Matrix Computations
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).4 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!