| Naslov: | Inner-star and star-inner matrices |
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| Avtorji: | ID Mosić, Dijana (Avtor) ID Dolinar, Gregor (Avtor) ID Marovt, Janko (Avtor) |
| Datoteke: | https://journal.pmf.ni.ac.rs/filomat/index.php/filomat/article/view/22620
https://www.pmf.ni.ac.rs/filomat-content/2024/38-33/38-33-2-22620.pdf
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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Znanstveno delo |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: | EPF - Ekonomsko-poslovna fakulteta
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| Opis: | In order to generalize the concepts of the 1MP and MP1 inverses and to solve some systems of matrix equations, we present the inner-star and star-inner matrices as two new classes of rectangular matrices. We prove different characterizations and representations of these new matrices. We obtain the relation between the set of all inner-star (or star-inner) matrices of a given rectangular matrix A and the set of all 1MP (MP1) inverses of (A+ )*, and also the relations between inner-star and star-inner matrices with corresponding nonsingular matrices. Applications of inner-star and star-inner matrices in defining two new partial orders and in solving several systems of linear equations are proposed. |
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| Ključne besede: | inner inverse, 1MP inverse, outer-star matrix, partial isometry |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Poslano v recenzijo: | 30.09.2023 |
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| Datum sprejetja članka: | 06.10.2024 |
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| Založnik: | Filozofski fakultet, Niš |
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| Leto izida: | 2024 |
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| Št. strani: | str. 11615-11631 |
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| Številčenje: | Vol. 38, no. 33 |
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| PID: | 20.500.12556/DKUM-92733  |
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| UDK: | 517.983 |
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| COBISS.SI-ID: | 229631491  |
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| DOI: | 10.2298/FIL2433615M  |
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| ISSN pri članku: | 0354-5180 |
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| Datum objave v DKUM: | 11.07.2025 |
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| Število ogledov: | 115 |
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| Število prenosov: | 12 |
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| Metapodatki: |  |
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| Področja: | Ostalo
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