On Hadamard Product of Hypercomplex Numbers
Certain product rules take various forms in the set of hypercomplex numbers. In this paper, we introduce a new multiplication form of the hypercomplex numbers that will be called «the Hadamard product», inspired by the analogous product in the real matrix space, and investigate some algebraic prope...
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2021-12-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
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| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/468 |
| _version_ | 1797372638937481216 |
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| author | A. Da¸sdemir |
| author_facet | A. Da¸sdemir |
| author_sort | A. Da¸sdemir |
| collection | DOAJ |
| description |
Certain product rules take various forms in the set of hypercomplex numbers. In this paper, we introduce a new multiplication form of the hypercomplex numbers that will be called «the Hadamard product», inspired by the analogous product in the real matrix space, and investigate some algebraic properties of that, including the norm of inequality. In particular, we extend our new definition and its applications to the complex matrix theory.
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| first_indexed | 2024-03-08T18:38:44Z |
| format | Article |
| id | doaj.art-27e1c5844c604f0781afae093c1f6500 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:38:44Z |
| publishDate | 2021-12-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-27e1c5844c604f0781afae093c1f65002023-12-29T10:19:40ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112021-12-01104410.31489/2021m4/68-73On Hadamard Product of Hypercomplex NumbersA. Da¸sdemir Certain product rules take various forms in the set of hypercomplex numbers. In this paper, we introduce a new multiplication form of the hypercomplex numbers that will be called «the Hadamard product», inspired by the analogous product in the real matrix space, and investigate some algebraic properties of that, including the norm of inequality. In particular, we extend our new definition and its applications to the complex matrix theory. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/468Quaternion productdot productHadamard producthypercomplex number |
| spellingShingle | A. Da¸sdemir On Hadamard Product of Hypercomplex Numbers Қарағанды университетінің хабаршысы. Математика сериясы Quaternion product dot product Hadamard product hypercomplex number |
| title | On Hadamard Product of Hypercomplex Numbers |
| title_full | On Hadamard Product of Hypercomplex Numbers |
| title_fullStr | On Hadamard Product of Hypercomplex Numbers |
| title_full_unstemmed | On Hadamard Product of Hypercomplex Numbers |
| title_short | On Hadamard Product of Hypercomplex Numbers |
| title_sort | on hadamard product of hypercomplex numbers |
| topic | Quaternion product dot product Hadamard product hypercomplex number |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/468 |
| work_keys_str_mv | AT adasdemir onhadamardproductofhypercomplexnumbers |