SOLVING MOMENT AND POLYNOMIAL OPTIMIZATION PROBLEMS ON SOBOLEV SPACES

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F25%3A00384007" target="_blank" >RIV/68407700:21230/25:00384007 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1137/24M163133X" target="_blank" >https://doi.org/10.1137/24M163133X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/24M163133X" target="_blank" >10.1137/24M163133X</a>

Result language
angličtina
Original language name
SOLVING MOMENT AND POLYNOMIAL OPTIMIZATION PROBLEMS ON SOBOLEV SPACES
Original language description
Using standard tools of harmonic analysis, we state and solve the problem of moments for nonnegative measures supported on the unit ball of a Sobolev space of multivariate periodic trigonometric functions. We describe outer and inner semidefinite approximations of the cone of Sobolev moments. They are the basic components of an infinite-dimensional moment--sums of squares hierarchy, allowing us to numerically solve nonconvex polynomial optimization problems on infinite-dimensional Sobolev spaces with global convergence guarantees.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/EH22_008%2F0004590" target="_blank" >EH22_008/0004590: Robotics and advanced industrial production</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)