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Real Algebraic Geometry with a View toward Koopman Operator Methods

Oberwolfach Reports, 2023
This 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
semanticscholar   +1 more source

Convergence of the Peaceman-Rachford Splitting Method for a Class of Nonconvex Programs

Numerical Mathematics: Theory, Methods and Applications, 2021
In this paper, we analyze the convergence of the Peaceman-Rachford splitting method (PRSM) for a type of nonconvex and nonsmooth optimization with linear constraints, whose objective function is the sum of a proper lower semicontinuous function and a ...
M. Chao
semanticscholar   +1 more source

Mixed-integer Nonlinear Optimization: a hatchery for modern mathematics

Oberwolfach Reports, 2020
The second MFO Oberwolfach Workshop on Mixed-Integer Nonlinear Programming (MINLP) took place between 2nd and 8th June 2019. MINLP refers to one of the hardest Mathematical Programming (MP) problem classes, involving both nonlinear functions as well as ...
Leo Liberti   +2 more
semanticscholar   +1 more source

On Variational-Like Inequalities and Global Minimization Problem

, 2020
In this paper, we obtain necessary and sufficient conditions, which ensure that all pairs of the solution sets of Stampacchia variational-like inequality, Minty variational-like inequality and global minimization problem coincide.
V. I. Ivanov
semanticscholar   +1 more source

Numerical performance of a descent conjugate gradient algorithm

, 2020
We present a modification of the conjugate gradient (CG) algorithm. The proposed method is based on adapting the approach of a three-term CG hybridized linearly with a spectral-scaling memoryless BFGS update.
I. Osinuga, Y. N. Nwodo
semanticscholar   +1 more source

Mixed-integer Nonlinear Optimization: A Hatchery for Modern Mathematics

Oberwolfach Reports
. The aim of this workshop was fostering the growth of new mathematical ideas arising from mixed-integer nonlinear optimization. In this regard, the workshop has been a resounding success.
Leo Liberti, S. Sager, Angelika Wiegele
semanticscholar   +1 more source

An ℓq- Seminorm Variational Model for Impulse Noise Reduction

East Asian Journal on Applied Mathematics, 2018
A variational lq-seminorm model to reduce the impulse noise is proposed. For 0 < q < 1, it captures sparsity better than the l1-norm model. Numerical experiments show that for small q this model is more efficient than TVl1 model if the noise level is low.
Y. Jung
semanticscholar   +1 more source

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