6533b82cfe1ef96bd1290002

RESEARCH PRODUCT

Further results on generalized centro-invertible matrices

Oscar RomeroNéstor ThomeLeila Lebtahi

subject

Pure mathematicsClass (set theory)Matrix sign functionCentro-invertible matrices010103 numerical & computational mathematicsSpectral analysisMatrius (Matemàtica)01 natural scienceslaw.inventionMatrix (mathematics)law0101 mathematicsComputer Science::Distributed Parallel and Cluster ComputingMathematicsCentrosymmetric matricesApplied MathematicsNumerical analysisState (functional analysis)INGENIERIA TELEMATICAInverse problem010101 applied mathematicsAnàlisi espectralInvertible matrixTheory of computationInverse problemMATEMATICA APLICADASign (mathematics)

description

[EN] This paper deals with generalized centro-invertible matrices introduced by the authors in Lebtahi et al. (Appl. Math. Lett. 38, 106¿109, 2014). As a first result, we state the coordinability between the classes of involutory matrices, generalized centro-invertible matrices, and {K}-centrosymmetric matrices. Then, some characterizations of generalized centro-invertible matrices are obtained. A spectral study of generalized centro-invertible matrices is given. In addition, we prove that the sign of a generalized centro-invertible matrix is {K}-centrosymmetric and that the class of generalized centro-invertible matrices is closed under the matrix sign function. Finally, some algorithms have been developed for the construction of generalized centro-invertible matrices

yearjournalcountryeditionlanguage
2019-01-01
10.1007/s11075-018-0528-9http://hdl.handle.net/10550/66513