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» Methods and Applications of (MAX, ) Linear Algebra
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STACS
1997
Springer
13 years 8 months ago
Methods and Applications of (MAX, +) Linear Algebra
Exotic semirings such as the “(max, +) semiring” (R ∪ {−∞}, max, +), or the “tropical semiring” (N ∪ {+∞}, min, +), have been invented and reinvented many times s...
Stephane Gaubert, Max Plus
CISIS
2009
IEEE
13 years 11 months ago
Application of a Critical Chain Project Management Based Framework on Max-Plus Linear Systems
Abstract. We focus on discrete event systems with a structure of parallel processing, synchronization, and noconcurrency. We use max-plus algebra, which is an effective approach fo...
Hirotaka Takahashi, Hiroyuki Goto, Munenori Kasaha...
STOC
2007
ACM
117views Algorithms» more  STOC 2007»
14 years 4 months ago
Tight integrality gaps for Lovasz-Schrijver LP relaxations of vertex cover and max cut
We study linear programming relaxations of Vertex Cover and Max Cut arising from repeated applications of the "lift-and-project" method of Lovasz and Schrijver starting ...
Grant Schoenebeck, Luca Trevisan, Madhur Tulsiani
MOC
1998
94views more  MOC 1998»
13 years 4 months ago
Analysis of third-order methods for secular equations
Third-order numerical methods are analyzed for secular equations. These equations arise in several matrix problems and numerical linear algebra applications. A closer look at an ex...
A. Melman
RC
2002
96views more  RC 2002»
13 years 4 months ago
Verification of Invertibility of Complicated Functions over Large Domains
A new method to decide the invertibility of a given high-dimensional function over a domain is presented. The problem arises in the field of verified solution of differential algeb...
Jens Hoefkens, Martin Berz