- Tytuł:
- Rank and perimeter preserver of rank-1 matrices over max algebra
- Autorzy:
-
Song, Seok-Zun
Kang, Kyung-Tae - Powiązania:
- https://bibliotekanauki.pl/articles/728962.pdf
- Data publikacji:
- 2003
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
max algebra
semiring
linear operator
monomial
rank
dominate
perimeter
(U,V)-operator - Opis:
- For a rank-1 matrix $A = a ⊗ b^{t}$ over max algebra, we define the perimeter of A as the number of nonzero entries in both a and b. We characterize the linear operators which preserve the rank and perimeter of rank-1 matrices over max algebra. That is, a linear operator T preserves the rank and perimeter of rank-1 matrices if and only if it has the form T(A) = U ⊗ A ⊗ V, or $T(A) = U ⊗ A^{t} ⊗ V$ with some monomial matrices U and V.
- Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2003, 23, 2; 125-137
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł