- Tytuł:
- Intervals of certain classes of Z-matrices
- Autorzy:
-
Kannan, M.
Sivakumar, K. - Powiązania:
- https://bibliotekanauki.pl/articles/729209.pdf
- Data publikacji:
- 2014
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
interval matrix
M-matrix
N-matrix
N₀-matrix
nonnegativity - Opis:
- Let A and B be M-matrices satisfying A ≤ B and J = [A,B] be the set of all matrices C such that A ≤ C ≤ B, where the order is component wise. It is rather well known that if A is an M-matrix and B is an invertible M-matrix and A ≤ B, then aA + bB is an invertible M-matrix for all a,b > 0. In this article, we present an elementary proof of a stronger version of this result and study corresponding results for certain other classes as well.
- Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2014, 34, 1; 85-93
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł