On the convexity for the range set of two quadratic functions

DOI10.3934/jimo.2020169zbMath1499.90143OpenAlexW3103340002MaRDI QIDQ2076462

Ya-Chi Chu, Huu-Quang Nguyen, Ruey-Lin Sheu

Publication date: 16 February 2022

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2020169

zbMATH Keywords

S-lemmahidden convexityjoint numerical rangenon-convex quadratic optimizationseparation of quadratic level sets

Mathematics Subject Classification ID

Semidefinite programming (90C22) Nonconvex programming, global optimization (90C26) Quadratic programming (90C20)

Related Items (3)

Separating disconnected quadratic level sets by other quadratic level sets ⋮ Polyak's theorem on Hilbert spaces ⋮ Non-quadratic extension of homogeneous S-lemma and its applications in optimization

Cites Work

• Unnamed Item
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• S-lemma with equality and its applications
• On the S-procedure and some variants
• Convexity of quadratic transformations and its use in control and optimization
• Generalized S-lemma and strong duality in nonconvex quadratic programming
• Double well potential function and its optimization in the \(N\)-dimensional real space. I
• Double well potential function and its optimization in the \(N\)-dimensional real space. II
• Geometric properties for level sets of quadratic functions
• On the Field of Values of a Matrix
• New Results on Quadratic Minimization
• A Survey of the S-Lemma

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