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» Methods and Applications of (MAX, ) Linear Algebra
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STACS
1997
Springer
15 years 2 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
15 years 5 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...
86
Voted
STOC
2007
ACM
117views Algorithms» more  STOC 2007»
15 years 10 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»
14 years 9 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
92
Voted
RC
2002
96views more  RC 2002»
14 years 9 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