- Tytuł:
- Certain new M-matrices and their properties with applications
- Autorzy:
-
Mohan, Ratnakaram
Kageyama, Sanpei
Lee, Moon
Yang, G. - Powiązania:
- https://bibliotekanauki.pl/articles/729710.pdf
- Data publikacji:
- 2008
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
M-matrices
non-orthogonality
orthogonal number
Hadamard matrix
partially balanced incomplete block (PBIB) design
regular graph - Opis:
- The Mₙ-matrix was defined by Mohan [21] who has shown a method of constructing (1,-1)-matrices and studied some of their properties. The (1,-1)-matrices were constructed and studied by Cohn [6], Ehrlich [9], Ehrlich and Zeller [10], and Wang [34]. But in this paper, while giving some resemblances of this matrix with a Hadamard matrix, and by naming it as an M-matrix, we show how to construct partially balanced incomplete block designs and some regular graphs by it. Two types of these M-matrices have been considered. Also we will make a mention of certain applications of these M-matrices in signal and communication processing, and network systems and end with some open problems.
- Źródło:
-
Discussiones Mathematicae Probability and Statistics; 2008, 28, 2; 183-207
1509-9423 - Pojawia się w:
- Discussiones Mathematicae Probability and Statistics
- Dostawca treści:
- Biblioteka Nauki
Artykuł