Jordan‐Algebraic Approach to Convexity Theorems for Quadratic Mappings

DOI10.1137/050635560zbMath1165.90591OpenAlexW2059661413MaRDI QIDQ3440222

Leonid Faybusovich

Publication date: 22 May 2007

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050635560

zbMATH Keywords

Jordan-algebraic techniqueconvexity theoremssymmetric relaxations

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Quadratic programming (90C20) Convex functions and convex programs in convex geometry (52A41) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Quadratic and bilinear forms, inner products (15A63) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30) Jordan algebras (algebras, triples and pairs) (17C99)

Related Items (8)

Jordan-algebraic aspects of optimization: randomization ⋮ A bound on the Carathéodory number ⋮ Convexity and differentiability properties of spectral functions and spectral mappings on Euclidean Jordan algebras ⋮ Several Jordan-algebraic aspects of optimization† ⋮ Joint numerical ranges: recent advances and applications minicourse by V. Müller and Yu. Tomilov ⋮ Amenable cones: error bounds without constraint qualifications ⋮ The Cauchy interlacing theorem in simple Euclidean Jordan algebras and some consequences ⋮ Optimality Conditions for Problems over Symmetric Cones and a Simple Augmented Lagrangian Method

This page was built for publication: Jordan‐Algebraic Approach to Convexity Theorems for Quadratic Mappings