Bases in max-algebra

By R. Cuninghame-Green, Peter Butkovic. 2004

71 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/88d6a64fa62bb7f53ebae228b17e2901ae4e95ea

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Marianne Akian
2. Stephane Gaubert
3. Alexander E. Guterman
4. Zur Izhakian
5. Peter Butkovic
6. Louis H. Rowen

In Computational Theory and Mathematics

1. Stephane Gaubert
2. Marianne Akian
3. Alexander E. Guterman
4. Peter Butkovic
5. Zur Izhakian
6. Hans Schneider
7. Sergeĭ Sergeev
8. Louis H. Rowen

In Management Science and Operations Research

1. Marianne Akian
2. Zur Izhakian
3. Stephane Gaubert
4. Peter Butkovic

Citations in the corpus

• Tropical Arithmetic and Matrix Algebra (2009, background): “The tropical semiring contains the max-plus algebra (Cuninghame-Green and Butkovic, 2004; Richter-Gebert et al., 2005) and it emerges as a target of nonArchimedean fields with real valuation; it is an idempotent semiring, i.”
• Linear independence over tropical semirings and beyond (2008, background): “This result was made more precise in further works by Butkovič and Cuninghame-Green [CGB04], Gaubert and Katz [GK07], Butkovič, Sergeev and Schneider [BSS07].”
• Generators, extremals and bases of max cones (2006, background): “We note that, for this particular case, Corollary 23 was shown in [11].”