Characterizing Convexity of Images for Quadratic-Linear Mappings with Applications in Nonconvex Quadratic Optimization
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Publication:5003213
DOI10.1137/19M1240484OpenAlexW3181807236MaRDI QIDQ5003213
Felipe Opazo, Fabián Flores-Bazan
Publication date: 20 July 2021
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/19m1240484
Quadratic programming (90C20) Optimality conditions and duality in mathematical programming (90C46) Linear-quadratic optimal control problems (49N10) Duality theory (optimization) (49N15) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
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Cites Work
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- S-lemma with equality and its applications
- Trust-region problems with linear inequality constraints: exact SDP relaxation, global optimality and robust optimization
- On the S-procedure and some variants
- On the convexity of a class of quadratic mappings and its application to the problem of finding the smallest ball enclosing a given intersection of balls
- Convexity properties associated with nonconvex quadratic matrix functions and applications to quadratic programming
- A remark on the convexity and positive definiteness concerning Hermitian matrices
- A recurring theorem about pairs of quadratic forms and extensions: A survey
- Problems of distance geometry and convex properties of quadratic maps
- Permanently going back and forth between the ``quadratic world and the ``convexity world in optimization
- Convexity of quadratic transformations and its use in control and optimization
- A geometric characterization of strong duality in nonconvex quadratic programming with linear and nonconvex quadratic constraints
- Generalized S-lemma and strong duality in nonconvex quadratic programming
- Lectures on Modern Convex Optimization
- Some Equivalent Results with Yakubovich's S-Lemma
- On the Field of Values of a Matrix
- Alternative Theorems for Quadratic Inequality Systems and Global Quadratic Optimization
- Multivariate Nonnegative Quadratic Mappings
- On Cones of Nonnegative Quadratic Functions
- A Survey of the S-Lemma
- On the mapping of quadratic forms
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