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Journal of Applied Mathematics and Computing
Erschienen in: Journal of Applied Mathematics and Computing 1-2/2021

06.01.2021 | Original Research

Representations and properties for the MPCEP inverse

verfasst von: Dijana Mosić, Ivan I. Kyrchei, Predrag S. Stanimirović

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2021

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Abstract

Our contribution is the development of novel representations and investigations of main properties of the MPCEP inverse. Precisely, we present representations of the MPCEP inverse which involve appropriate Moore–Penrose inverses, projections and full-rank decompositions, as well as limit and integral representations. Determinantal representations for the MPCEP inverse are also established. We study perturbation formulae with perturbation bounds of MPCEP inverse. An equivalent condition for the continuity of the MPCEP inverse is proposed. The MPCEP inverse of a suitable upper block triangular matrix is given. The successive matrix squaring algorithm and splitting method for computing the MPCEP inverse are presented. Some appropriate constrained systems of linear equations are solved applying the MPCEP inverse.
Vorheriger Artikel The average Steiner 3-eccentricity of block graphs
Nächster Artikel On Connected Graphs Having the Maximum Connective Eccentricity Index

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Metadaten
Titel
Representations and properties for the MPCEP inverse
verfasst von
Dijana Mosić
Ivan I. Kyrchei
Predrag S. Stanimirović
Publikationsdatum
06.01.2021
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Applied Mathematics and Computing / Ausgabe 1-2/2021
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-020-01481-x

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