An extension of Polyak's theorem in a Hilbert space

DOI10.1007/s10957-008-9457-4zbMath1190.90271OpenAlexW1999661596MaRDI QIDQ1016409

Bessem Samet, Abdeljelil Baccari

Publication date: 5 May 2009

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-008-9457-4

zbMATH Keywords

convexityclosurequadratic functions

Mathematics Subject Classification ID

Programming in abstract spaces (90C48)

Related Items (3)

Polyak's theorem on Hilbert spaces ⋮ Elliptic quadratic operator equations ⋮ Connectivity of Quadratic Hypersurfaces and Its Applications in Optimization, Part I: General Theory

Cites Work

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• Augmentability in optimization theory
• Nonconvex optimization problem: The infinite-horizon linear-quadratic control problem with quadratic constraints
• Convexity of quadratic transformations and its use in control and optimization
• On the Field of Values of a Matrix
• On the mapping of quadratic forms

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