Inner-star and star-inner matricesMosić, Dijana (Avtor) Dolinar, Gregor (Avtor) Marovt, Janko (Avtor) inner inverse1MP inverseouter-star matrixpartial isometry 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.Filozofski fakultet, Niš20242025-05-09 03:09:03Znanstveno delo92733UDK: 517.983COBISS_ID: 229631491DOI: 10.2298/FIL2433615MISSN pri članku: 0354-5180sl