20.500.12556/DKUM-92733 Inner-star and star-inner matrices 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. inner inverse 1MP inverse outer-star matrix partial isometry true false true Filozofski fakultet, Niš Angleški jezik Angleški jezik Znanstveno delo 2025-05-09 03:09:03 2025-07-11 11:56:16 2025-07-17 11:49:42 0000-00-00 00:00:00 2024 0 0 str. 11615-11631 no. 33 Vol. 38 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2023-09-30 2024-10-06 0000-00-00 517.983 229631491 10.2298/FIL2433615M 0354-5180 https://journal.pmf.ni.ac.rs/filomat/index.php/filomat/article/view/22620 1 32cd0ad0-2c72-11f0-acfb-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=190820 https://www.pmf.ni.ac.rs/filomat-content/2024/38-33/38-33-2-22620.pdf 0 fbf4a3d3-5e3c-11f0-b23d-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=193493 Ekonomsko-poslovna fakulteta 0 0 0