On local convexity of quadratic transformations

DOI10.1007/s40305-014-0054-yzbMath1310.90084arXiv1405.6042OpenAlexW2042806819MaRDI QIDQ489135

Yong Xia

Publication date: 27 January 2015

Published in: Journal of the Operations Research Society of China (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.6042

zbMATH Keywords

convexityjoint numerical rangequadratic transformation

Mathematics Subject Classification ID

Convex programming (90C25) Quadratic programming (90C20)

Related Items (5)

An extension of Yuan's lemma and its applications in optimization ⋮ A survey of hidden convex optimization ⋮ Convexity of a small ball under quadratic map ⋮ Globally maximizing the sum of squares of quadratic forms over the unit sphere ⋮ New versions of Newton method: step-size choice, convergence domain and under-determined equations

Uses Software

• SDPT3
• CVX

Cites Work

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• S-lemma with equality and its applications
• Approximation algorithms for homogeneous polynomial optimization with quadratic constraints
• 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
• The convexity principle and its applications
• Convexity of quadratic transformations and its use in control and optimization
• On the Polyak convexity principle and its application to variational analysis
• Duality theorems for certain nonconvex extremal problems
• Global Optimization with Polynomials and the Problem of Moments
• On the Field of Values of a Matrix
• Matrix Analysis
• SDPT3 — A Matlab software package for semidefinite programming, Version 1.3
• A Survey of the S-Lemma
• On the mapping of quadratic forms
• Convexity of nonlinear image of a small ball with applications to optimization

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