Alternative characterizations of some linear combinations of an idempotent matrix and a tripotent matrix that commute
Yıl: 2020 Cilt: 22 Sayı: 1 Sayfa Aralığı: 255 - 268 Metin Dili: İngilizce DOI: 10.25092/baunfbed.680775 İndeks Tarihi: 29-07-2022
Alternative characterizations of some linear combinations of an idempotent matrix and a tripotent matrix that commute
Öz: In this work, first, Theorem 2 in [1] [Yao, H., Sun, Y., Xu, C., and Bu, C., A note on linear combinations of an idempotent matrix and a tripotent matrix, J. Appl. Math. Informatics, 27 (5-6), 1493-1499, 2009] and Theorem 2.2 in [2][Özdemir H., Sarduvan M., Özban A.Y., Güler N., On idempotency and tripotency of linear combinations of two commuting tripotent matrices, Appl. Math. Comput., 207 (1), 197-201, 2009] are reconsidered in different ways under the condition that the matrices involved in the linear combination are commutative. Thus, it is seen that there are some missing results in Theorem 2 in [1]. Then, by considering the obtained results and doing some detailed investigations, it is given a new characterization, without any restriction on the involved matrices except for commutativity, of a linear combination of an idempotent and a tripotent matrix that commute.
Anahtar Kelime: Değişmeli bir idempotent ve bir tripotent matrisin bazı lineer kombinasyonlarının alternatif karakterizasyonları
Öz: Bu çalışmada ilk olarak [1][Yao, H., Sun, Y., Xu, C., and Bu, C., A note on linear combinations of an idempotent matrix and a tripotent matrix, J. Appl. Math. Informatics, 27 (5-6), 1493-1499, 2009]’deki Teorem 2 ve [2]([Özdemir H., Sarduvan M., Özban A.Y., Güler N., On idempotency and tripotency of linear combinations of two commuting tripotent matrices, Appl. Math. Comput., 207 (1), 197-201, 2009]’deki Teorem 2.2, lineer kombinasyonda içerilen matrislerin değişmeli olması koşulu altında farklı tarzlarda yeniden ele alınmaktadır. Böylece, [1]’deki Teorem 2’de bazı eksik sonuçların mevcut olduğu görülmüştür. Daha sonra elde edilen sonuçları göz önüne alarak ve bazı detaylı incelemeler yaparak, değişmeli bir idempotent ve bir tripotent matrisin bir lineer kombinasyonunun, içerilen matrisler üzerinde değişmelilik dışında herhangi bir kısıtlama olmaksızın, yeni bir karakterizasyonu verilmektedir.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | T, Gökmen B (2020). Alternative characterizations of some linear combinations of an idempotent matrix and a tripotent matrix that commute. , 255 - 268. 10.25092/baunfbed.680775 |
| Chicago | Tuğba,Gökmen Burak Tufan Alternative characterizations of some linear combinations of an idempotent matrix and a tripotent matrix that commute. (2020): 255 - 268. 10.25092/baunfbed.680775 |
| MLA | Tuğba,Gökmen Burak Tufan Alternative characterizations of some linear combinations of an idempotent matrix and a tripotent matrix that commute. , 2020, ss.255 - 268. 10.25092/baunfbed.680775 |
| AMA | T,Gökmen B Alternative characterizations of some linear combinations of an idempotent matrix and a tripotent matrix that commute. . 2020; 255 - 268. 10.25092/baunfbed.680775 |
| Vancouver | T,Gökmen B Alternative characterizations of some linear combinations of an idempotent matrix and a tripotent matrix that commute. . 2020; 255 - 268. 10.25092/baunfbed.680775 |
| IEEE | T,Gökmen B "Alternative characterizations of some linear combinations of an idempotent matrix and a tripotent matrix that commute." , ss.255 - 268, 2020. 10.25092/baunfbed.680775 |
| ISNAD | , Tuğba - Gökmen, Burak Tufan. "Alternative characterizations of some linear combinations of an idempotent matrix and a tripotent matrix that commute". (2020), 255-268. https://doi.org/10.25092/baunfbed.680775 |
| APA | T, Gökmen B (2020). Alternative characterizations of some linear combinations of an idempotent matrix and a tripotent matrix that commute. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22(1), 255 - 268. 10.25092/baunfbed.680775 |
| Chicago | Tuğba,Gökmen Burak Tufan Alternative characterizations of some linear combinations of an idempotent matrix and a tripotent matrix that commute. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22, no.1 (2020): 255 - 268. 10.25092/baunfbed.680775 |
| MLA | Tuğba,Gökmen Burak Tufan Alternative characterizations of some linear combinations of an idempotent matrix and a tripotent matrix that commute. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.22, no.1, 2020, ss.255 - 268. 10.25092/baunfbed.680775 |
| AMA | T,Gökmen B Alternative characterizations of some linear combinations of an idempotent matrix and a tripotent matrix that commute. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2020; 22(1): 255 - 268. 10.25092/baunfbed.680775 |
| Vancouver | T,Gökmen B Alternative characterizations of some linear combinations of an idempotent matrix and a tripotent matrix that commute. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2020; 22(1): 255 - 268. 10.25092/baunfbed.680775 |
| IEEE | T,Gökmen B "Alternative characterizations of some linear combinations of an idempotent matrix and a tripotent matrix that commute." Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22, ss.255 - 268, 2020. 10.25092/baunfbed.680775 |
| ISNAD | , Tuğba - Gökmen, Burak Tufan. "Alternative characterizations of some linear combinations of an idempotent matrix and a tripotent matrix that commute". Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22/1 (2020), 255-268. https://doi.org/10.25092/baunfbed.680775 |
