Article
| Title: | Linear preservers of rc-majorization on matrices (English) |
| Author: | Soleymani, Mohammad |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 74 |
| Issue: | 4 |
| Year: | 2024 |
| Pages: | 1275-1288 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | Let $A$, $B$ be $n \times m$ matrices. The concept of matrix majorization means the $j$th column of $A$ is majorized by the $j$th column of $B$ and this is done for all $j$ by a doubly stochastic matrix $D$. We define rc-majorization that extended matrix majorization to columns and rows of matrices. Also, the linear preservers of rc-majorization will be characterized. (English) |
| Keyword: | matrix majorization |
| Keyword: | linear preserver |
| Keyword: | permutation |
| MSC: | 15A86 |
| MSC: | 15B51 |
| DOI: | 10.21136/CMJ.2024.0301-24 |
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| Date available: | 2024-12-15T06:41:51Z |
| Last updated: | 2024-12-16 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/152701 |
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| Reference: | [1] Ando, T.: Majorization, doubly stochastic matrices, and comparison of eigenvalues.Linear Algebra Appl. 118 (1989), 163-248. Zbl 0673.15011, MR 0995373, 10.1016/0024-3795(89)90580-6 |
| Reference: | [2] Bhatia, R.: Matrix Analysis.Graduate Texts in Mathematics 169. Springer, New York (1997). Zbl 0863.15001, MR 1477662, 10.1007/978-1-4612-0653-8 |
| Reference: | [3] Dahl, G., Guterman, A., Shteyner, P.: Majorization for matrix classes.Linear Algebra Appl. 555 (2018), 201-221. Zbl 1401.15039, MR 3834200, 10.1016/j.laa.2018.06.003 |
| Reference: | [4] Horn, R. A., Johnson, C. R.: Topics in Matrix Analysis.Cambridge University Press, Cambridge (1994). Zbl 0801.15001, MR 1288752, 10.1017/CBO9780511840371 |
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