One sided Star and Core orthogonality of matrices
Rings and Algebras
2023-08-21 v1
Abstract
We investigate two one-sided orthogonalities of matrices, the first of which is left (right) -orthogonality for rectangular matrices and the other is left (right) core-orthogonality of index matrices. We obtain some basic results for these matrices, their canonical forms, and characterizations. Also, relations between left (right) orthogonal matrices and parallel sums are investigated. Finally under these one-sided orthogonalities we explore the conditions of additivity of the Moore-Penrose inverse and the core inverse.
Keywords
Cite
@article{arxiv.2308.08675,
title = {One sided Star and Core orthogonality of matrices},
author = {D. E. Ferreyra and F. E. Levis and Saroj B. Malik and R. P. Moas},
journal= {arXiv preprint arXiv:2308.08675},
year = {2023}
}