On idempotency and tripotency of linear combinations of two commuting tripotent matrices
| dc.contributor.author | Ozdemir, Halim | |
| dc.contributor.author | Sarduvan, Murat | |
| dc.contributor.author | Ozban, Ahmet Yasar | |
| dc.contributor.author | Guler, Nesrin | |
| dc.date.accessioned | 2024-07-05T14:33:58Z | |
| dc.date.available | 2024-07-05T14:33:58Z | |
| dc.date.issued | 2009 | |
| dc.description | Özdemir, Halim/0000-0003-4624-437X; Güler, Nesrin/0000-0003-3233-5377 | en_US |
| dc.description.abstract | Let T-1 and T-2 be two nonzero commuting n x n tripotent matrices and c(1), c(2) two nonzero complex numbers. Necessary and sufficient conditions for the tripotency and the idempotency of c(1)T(1) + c(2)T(2) are obtained. The problems considered here have also statistical importance when c(1), c(2) are real scalars and T-1, T-2 are real symmetric matrices. (C) 2008 Elsevier Inc. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.amc.2008.10.017 | |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.issn | 1873-5649 | |
| dc.identifier.scopus | 2-s2.0-58249089281 | |
| dc.identifier.uri | https://doi.org/10.1016/j.amc.2008.10.017 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/999 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science inc | en_US |
| dc.relation.ispartof | Applied Mathematics and Computation | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Idempotent matrix | en_US |
| dc.subject | Tripotent matrix | en_US |
| dc.subject | Quadratic form | en_US |
| dc.subject | Chi-square distribution | en_US |
| dc.subject | Diagonalization | en_US |
| dc.title | On idempotency and tripotency of linear combinations of two commuting tripotent matrices | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Özdemir, Halim/0000-0003-4624-437X | |
| gdc.author.id | Güler, Nesrin/0000-0003-3233-5377 | |
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| gdc.author.wosid | Özdemir, Halim/AAA-9437-2021 | |
| gdc.author.wosid | Güler, Nesrin/AAR-6564-2020 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Ozban, Ahmet Yasar] Atilim Univ, Dept Math, TR-06836 Incek Ankara, Turkey; [Ozdemir, Halim; Sarduvan, Murat; Guler, Nesrin] Sakarya Univ, Dept Math, TR-54187 Sakarya, Turkey | en_US |
| gdc.description.endpage | 201 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 197 | en_US |
| gdc.description.volume | 207 | en_US |
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| gdc.identifier.wos | WOS:000262613200018 | |
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| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | idempotent matrix | |
| gdc.oaire.keywords | Canonical forms, reductions, classification | |
| gdc.oaire.keywords | Hermitian, skew-Hermitian, and related matrices | |
| gdc.oaire.keywords | Statistical distribution theory | |
| gdc.oaire.keywords | diagonalization | |
| gdc.oaire.keywords | tripotent matrix | |
| gdc.oaire.keywords | quadratic form | |
| gdc.oaire.keywords | chi-square distribution | |
| gdc.oaire.keywords | Commutativity of matrices | |
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| gdc.virtual.author | Özban, Ahmet Yaşar | |
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