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Content archived on 2024-06-18

Algebraic Algorithms and Applications

Objective

The project Algebraic Algorithms and Applications (A3) is an interdisciplinary and multidisciplinary project, with strong international synergy.

It consists of four work packages
The first (Algebraic Algorithms) focuses on fundamental
problems of computational (real) algebraic geometry: effective zero
bounds, that is estimations for the minimum distance of the roots of a
polynomial system from zero, algorithms for solving polynomials and
polynomial systems, derivation of non-asymptotic bounds for basic
algorithms of real algebraic geometry and application of polynomial
system solving techniques in optimization.
We propose a novel approach that
exploits structure and symmetry, combinatorial properties of high
dimensional polytopes and tools from mathematical physics.

Despite the great potential of the modern tools from algebraic
algorithms, their use requires a combined effort to transfer this
technology to specific problems. In the second package (Stochastic Games)
we aim to derive optimal algorithms for computing
the values of stochastic games, using techniques from real algebraic
geometry, and to introduce a whole new arsenal of algebraic tools to
computational game theory.

The third work package (Non-linear Computational Geometry), we
focus on exact computations with implicitly defined plane and
space curves. These are challenging problems that commonly arise in
geometric modeling and computer aided design,
but they also have applications in polynomial optimization.

The final work package (Efficient Implementations) describes our plans
for complete, robust and efficient implementations of algebraic
algorithms.

Fields of science (EuroSciVoc)

Topic(s)

Call for proposal

FP7-PEOPLE-2012-CIG
See other projects for this call

Funding Scheme

MC-CIG - Support for training and career development of researcher (CIG)

Coordinator

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET AUTOMATIQUE
EU contribution
€ 100 000,00
Address
DOMAINE DE VOLUCEAU ROCQUENCOURT
78153 Le Chesnay Cedex
France
Region
Ile-de-France Ile-de-France Yvelines
Activity type
Research Organisations
Links
Total cost
No data