| Title: | Inner-star and star-inner matrices |
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| Authors: | ID Mosić, Dijana (Author)
ID Dolinar, Gregor (Author)
ID Marovt, Janko (Author) |
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| Files: |  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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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | EPF - Faculty of Business and Economics
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| Abstract: | 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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| Keywords: | inner inverse, 1MP inverse, outer-star matrix, partial isometry |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 30.09.2023 |
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| Article acceptance date: | 06.10.2024 |
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| Publisher: | Filozofski fakultet, Niš |
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| Year of publishing: | 2024 |
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| Number of pages: | str. 11615-11631 |
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| Numbering: | Vol. 38, no. 33 |
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| PID: | 20.500.12556/DKUM-92733  |
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| UDC: | 517.983 |
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| ISSN on article: | 0354-5180 |
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| COBISS.SI-ID: | 229631491 |
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| DOI: | 10.2298/FIL2433615M |
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| Publication date in DKUM: | 11.07.2025 |
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| Views: | 111 |
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| Downloads: | 12 |
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| Metadata: |    |
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| Categories: | Misc.
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