CORDIS Project
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This project develops new methods in computational nonlinear algebra to address challenges in polynomial equations and inequalities. It focuses on creating algorithms and software for accurate numerical computations of multiple integrals, leveraging algebraic geometry and symbolic algorithms for applications in various…
Polynomial equations and inequalities raises fundamental theoretical issues, many of which have been answered by algebraic geometry.
As of applications, nonlinearity is also a formidable computational challenge.Based on recent proof-of-concept works, I propose new foundational methods in computational nonlinear algebra, motivated by the need for reliability and applicability.
The joint development of theoretical aspects, algorithms and software implementations will turn these proof-of-concepts i…
INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET AUTOMATIQUE
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