3 citations
3 papers
math.OC2009
Real ideal and the duality of semidefinite programming for polynomial optimization
Yoshiyuki Sekiguchi, Tomoyuki Takenawa, Hayato Waki
We study the ideal generated by polynomials vanishing on a semialgebraic set and propose an algorithm to calculate the generators, which is based on some techniques of the cylindri…
math-ph2007★ 3 cited
Tropical spectral curves and integrable cellular automata
Rei Inoue, Tomoyuki Takenawa
We propose a method to study the integrable cellular automata with periodic boundary conditions, via the tropical spectral curve and its Jacobian. We introduce the tropical version…
math.AG2006
Tropical representation of Weyl groups associated with certain rational varieties
Teruhisa Tsuda, Tomoyuki Takenawa
Starting from certain rational varieties blown-up from (P^1)^N, we construct a tropical, i.e., subtraction-free birational, representation of Weyl groups as a group of pseudo isomo…