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79
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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
PPAM
2007
Springer
15 years 4 months ago
The Relevance of New Data Structure Approaches for Dense Linear Algebra in the New Multi-Core / Many Core Environments
For about ten years now, Bo K˚agstr¨om’s Group in Umea, Sweden, Jerzy Wa´sniewski’s Team at Danish Technical University in Lyngby, Denmark, and I at IBM Research in Yorktown...
Fred G. Gustavson
MCSS
2008
Springer
14 years 9 months ago
Maximal solution to algebraic Riccati equations linked to infinite Markov jump linear systems
In this paper we deal with a perturbed algebraic Riccati equation in an infinite dimensional Banach space. Besides the interest in its own right, this class of equations appears, ...
Jack Baczynski, Marcelo D. Fragoso
84
Voted
MP
2010
150views more  MP 2010»
14 years 5 months ago
The algebraic degree of semidefinite programming
Given a generic semidefinite program, specified by matrices with rational entries, each coordinate of its optimal solution is an algebraic number. We study the degree of the minima...
Jiawang Nie, Kristian Ranestad, Bernd Sturmfels
CDC
2009
IEEE
137views Control Systems» more  CDC 2009»
14 years 8 months ago
Switching time estimation for linear switched systems: an algebraic approach
This paper aims at estimating the switching time for linear switched systems, i.e. the time instant when a sub-model is switched on while another one is switched off. Assuming that...
Yang Tian, Thierry Floquet, Lotfi Belkoura, Wilfri...