A Remark on the Hadamard Matrices of the Williamson Type
| المصدر: | مجلة العلوم الإنسانية والتطبيقية |
|---|---|
| الناشر: | الجامعة الأسمرية الإسلامية زليتن - كليتى الآداب والعلوم |
| المؤلف الرئيسي: | Leghwel, Abd Alrzak M. (Author) |
| المجلد/العدد: | ع26 |
| محكمة: | نعم |
| الدولة: |
ليبيا |
| التاريخ الميلادي: |
2014
|
| الصفحات: | 1 - 14 |
| رقم MD: | 829320 |
| نوع المحتوى: | بحوث ومقالات |
| اللغة: | الإنجليزية |
| قواعد المعلومات: | HumanIndex |
| مواضيع: | |
| رابط المحتوى: |
| المستخلص: |
In this paper the main underlying tool which produced the construction method of Hadamard matrices is circulant matrix due to Williamson (1944). Two examples of matrices of Williamson type for the cases 4n = 12 and 4n = 20. are presented in this paper. Also, we give an answer: for which values n can we construct a Hadamard matrix Hn based on the theorems discussed in [9] ?. We conclude this paper by giving a result due to Miyamoto (1991) which adds many more values of n to construct a Hadamard matrix H„ , and also give an answer for the following question : for which values of n<1000 has the known construction methods not yielded a Hadamard matrix of order n ? |
|---|
عناصر مشابهة
-
On Some Methods of Constructing Hadamard Matrices
بواسطة: Leghwel, Abd Alrzak M. منشور: (2014) -
On Some Characterizations of Hadamard Matrices
بواسطة: Leghwel, Abd Alrzak M. منشور: (2013) -
On Some Applications of Hadamard Matrices
بواسطة: Leghwel, Abd Alrzak M. منشور: (2012) -
The Kronecker Product and The Hadamard Product of Matrices
بواسطة: Abu Shalha, Iman Ali Sulieman منشور: (2000) -
On The Excess of Hadamard Matrix
بواسطة: Leghwel, Abd Alrzak M. منشور: (2011)
