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Real Algebraic Geometry with a View toward Koopman Operator Methods
Oberwolfach Reports, 2023This workshop was dedicated to the newest developments in real algebraic geometry and their interaction with convex optimization and operator theory. A particular effort was invested in exploring the interrelations with the Koopman operator methods in ...
Didier Henrion +3 more
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A Stochastic Moving Balls Approximation Method over a Smooth Inequality Constraint
Journal of Computational Mathematics, 2020We consider the problem of minimizing the average of a large number of smooth component functions over one smooth inequality constraint. We propose and analyze a stochastic Moving Balls Approximation (SMBA) method.
Leiwu Zhang sci
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The Semi-Algebraic Split Feasibility Problem and its Semidefinite Relaxation
Numerical Mathematics: Theory, Methods and Applications, 2019This paper considers the semi-algebraic split feasibility problem (SASFP), i.e., the split feasibility problem defined by polynomials. It is more than a special case of the split feasibility problem (SFP) or the multiple-sets split feasibility problem ...
Jinli Chen
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Duality in infinite-dimensional production economies
Applied Mathematical Sciences, 2019In this paper, we present some useful mathematical propositions, which generalize previous results on duality between profit maximization and cost minimization in finite-dimensional production economies.
Christos E. Kountzakis +1 more
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A Note on Approximate Subdifferential of Composed Convex Operator
, 2014M. Laghdir, A. Rikouane
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