Cover Image

Semidefinite relaxations for nonlinear elasticity with energies convex in the Cauchy-Green strain tensor

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Henrion, Didier, Korda, Milan, Kružík, Martin, Sehnalová, Karolına
Format:	Preprint
Published:	2026
Subjects:	Optimization and Control
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Solving unbounded optimal control problems with the moment-SOS hierarchy *
by: Sehnalová, Karolına, et al.
Published: (2025)

Composition and tensor train structure in polynomial optimization
by: Gaggioli, Llorenç Balada, et al.
Published: (2026)

Polyconvex double well functions
by: Henrion, Didier, et al.
Published: (2025)

Global optimization of low-rank polynomials
by: Gaggioli, Llorenç Balada, et al.
Published: (2025)

Polynomial argmin for recovery and approximation of multivariate discontinuous functions
by: Henrion, Didier, et al.
Published: (2023)

Geometry of exactness of moment-SOS relaxations for polynomial optimization
by: Henrion, Didier
Published: (2023)

Concentration of measure-valued solutions for semilinear parabolic equations
by: Lebarbé, Charlie, et al.
Published: (2026)

Optimal Control of 1D Semilinear Heat Equations with Moment-SOS Relaxations
by: Lebarbé, Charlie, et al.
Published: (2024)

Sparse decompositions of nonlinear dynamical systems and applications to moment-sum-of-squares relaxations
by: Schlosser, Corbinian, et al.
Published: (2020)

Parametric Semidefinite Programming: Geometry of the Trajectory of Solutions
by: Bellon, Antonio, et al.
Published: (2021)

Maximal entropy in the moment body
by: Henrion, Didier
Published: (2025)

Density, Determinacy, Duality and a Regularized Moment-SOS Hierarchy
by: Henrion, Didier
Published: (2025)

Solving Stengle's Example in Rational Arithmetic: Exact Values of the Moment-SOS Relaxations
by: Henrion, Didier
Published: (2025)

Infinite-dimensional Christoffel-Darboux polynomial kernels on Hilbert spaces
by: Henrion, Didier
Published: (2024)

Positively not SOS: pseudo-moments and extreme rays in exact arithmetic
by: Henrion, Didier
Published: (2025)

Solving moment and polynomial optimization problems on Sobolev spaces
by: Henrion, Didier, et al.
Published: (2024)

Fast control allocation algorithm for tilt-rotor VTOL aircraft
by: Belák, Jan, et al.
Published: (2025)

An infinite-dimensional Christoffel function and detection of abnormal trajectories
by: Henrion, Didier, et al.
Published: (2024)

Mollified Christoffel-Darboux Kernels and Density Recovery on Varieties
by: Bentancur, Leandro, et al.
Published: (2026)

Young measure relaxation gaps for controllable systems with smooth state constraints
by: Augier, Nicolas, et al.
Published: (2025)

Towards Optimal Spatio-Temporal Decomposition of Control-Related Sum-of-Squares Programs
by: Cibulka, Vít, et al.
Published: (2024)

Approximate D-optimal design and equilibrium measure
by: Henrion, Didier, et al.
Published: (2024)

Evolution of Measures in Nonsmooth Dynamical Systems: Formalisms and Computation
by: Chhatoi, Saroj Prasad, et al.
Published: (2024)

Slow convergence of the moment-SOS hierarchy for an elementary polynomial optimization problem
by: Henrion, Didier, et al.
Published: (2024)

The gap between a variational problem and its occupation measure relaxation
by: Korda, Milan, et al.
Published: (2022)

Algebraic Proofs of Path Disconnectedness using Time-Dependent Barrier Functions
by: Henrion, Didier, et al.
Published: (2024)

Unsafe Probabilities and Risk Contours for Stochastic Processes using Convex Optimization
by: Miller, Jared, et al.
Published: (2024)

Sufficient conditions for the absence of relaxation gaps in state-constrained optimal control
by: Augier, Nicolas, et al.
Published: (2025)

Set-Valued Koopman Theory for Control Systems
by: Bonnet-Weill, Benoît, et al.
Published: (2024)

Moment LMI approach to LTV impulsive control
by: Claeys, Mathieu, et al.
Published: (2013)

Global weight optimization of frame structures with polynomial programming
by: Tyburec, Marek, et al.
Published: (2022)

Polyconvexity with Moments and Sums of Squares
by: Fantuzzi, Giovanni, et al.
Published: (2026)

Peak Time-Windowed Risk Estimation of Stochastic Processes
by: Miller, Jared, et al.
Published: (2024)

A hierarchy of convex relaxations for the total variation distance
by: Lasserre, Jean-Bernard
Published: (2024)

Optimizing quasi-dissipative evolution equations with the moment-SOS hierarchy
by: Chhatoi, Saroj Prasad, et al.
Published: (2024)

Moment-SOS relaxations for moment and tensor recovery problems
by: Huang, Lei, et al.
Published: (2024)

Hadamard's inequality in the mean
by: Bevan, Jonathan, et al.
Published: (2023)

On the strength of Burer's lifted convex relaxation to quadratic programming with ball constraints
by: Kılınç-Karzan, Fatma, et al.
Published: (2024)

Solving strategies for data-driven one-dimensional elasticity exhibiting nonlinear strains
by: Nguyen, Thi-Hoa, et al.
Published: (2025)

First-order SDSOS-convex semi-algebraic optimization and exact SOCP relaxations
by: Yang, Chengmiao, et al.
Published: (2025)