ARRStanišev, Ivana2025-05-142025-05-142022978-86-80593-75-30351-9406http://elib.mi.sanu.ac.rs/files/journals/zr/28/zrn28p327-342.pdfhttp://elib.mi.sanu.ac.rs/files/journals/zr/28/i.pdfhttps://repozitorijum.tfbor.bg.ac.rs/handle/123456789/5972This is a short survey on the star partial order for matrices which is considered in the spaces with indefinite metric. The specific geometry of these spaces effects even on the definition of a star partial order, demanding the existence of the Moore--Penrose inverse of a certain matrix. A characterization of this partial order is also given. Some of the interesting properties are generalized and illustrated by the appropriate examples.enpartial orderstar partial orderindefinite inner product spacesH-adjoint matrixMoore-Penrose inversebookPart