On a matrix decomposition of Hartwig and Spindelböck |
| |
Authors: | Oskar Maria Baksalary George PH Styan |
| |
Institution: | a Faculty of Physics, Adam Mickiewicz University, ul. Umultowska 85, 61-614 Poznań, Poland b Department of Mathematics and Statistics, McGill University, Montreal, Québec, Canada H3A 2K6 c Department of Statistics, Dortmund University of Technology, Vogelpothsweg 87, 44221 Dortmund, Germany |
| |
Abstract: | The main task of the paper is to demonstrate that Corollary 6 in R.E. Hartwig, K. Spindelböck, Matrices for which A∗ and A† commute, Linear and Multilinear Algebra 14 (1984) 241-256] provides a powerful tool to investigate square matrices with complex entries. This aim is achieved, on the one hand, by obtaining several original results involving square matrices, and, on the other hand, by reestablishing some of the facts already known in the literature, often in extended and/or generalized forms. The particular attention is paid to the usefulness of the aforementioned corollary to characterize various classes of matrices and to explore matrix partial orderings. |
| |
Keywords: | 15A24 15A57 15A09 |
本文献已被 ScienceDirect 等数据库收录! |
|