Results 61 to 68 of about 585 (68)

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, Salma Kuhlmann, Igor Mezić, Victor Vinnikov   +3 more
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, Sebastian Sager, Angelika Wiegele   +2 more
semanticscholar   +1 more source

A brief introduction to sums of squares

Sum of Squares: Theory and Applications, 2020
We give a brief overview and history of nonnegative polynomials and sums of squares. This chapter also provides a guide to how the subsequent chapters connect to this central theory.
Grigoriy Blekherman
semanticscholar   +1 more source

Real Algebraic Geometry With a View Toward Moment Problems and Optimization

, 2018
Continuing the tradition initiated in MFOworkshop held in 2014, the aim of this workshop was to foster the interaction between real algebraic geometry, operator theory, optimization, and algorithms for systems control.
D. Henrion, M. Infusino, S. Kuhlmann, V. Vinnikov   +3 more
semanticscholar   +1 more source

A sensitivity result for quadratic semidefinite programs with an application to a sequential quadratic semidefinite programming algorithm

, 2012
In this short note a sensitivity result for quadratic semidefinite programming is presented under a weak form of second order sufficient condition.
Rodrigo Garcés, Walter Gómez, F. Jarre
semanticscholar   +1 more source

A Cutting Plane Algorithm for Large Scale Semidefinite Relaxations

The Sharpest Cut, 2004
The recent spectral bundle method allows to compute, within reasonable time, approximate dual solutions of large scale semidefinite quadratic 0-1 programming relaxations. We show that it also generates a sequence of primal approximations that converge to
C. Helmberg
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

Mini-Workshop: Applied Koopmanism

, 2016
Koopman and Perron–Frobenius operators are linear operators that encapsulate dynamics of nonlinear dynamical systems without loss of information. This is accomplished by embedding the dynamics into a larger infinite-dimensional space where the focus of ...
D. Henrion, I. Mezić, M. Putinar
semanticscholar   +1 more source