Yuan's alternative theorem and the maximization of the minimum eigenvalue function

DOI10.1007/BF02191786zbMath0808.90122WikidataQ57836420 ScholiaQ57836420MaRDI QIDQ1335130

Alberto Seeger, Juan-Enrique Martinez-Legaz

Publication date: 27 September 1994

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

zbMATH Keywords

quadratic formssymmetric matricesalternative theoremsconvex combination of symmetric matricesmaximization of the minimum eigenvalue

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items

A tensor analogy of Yuan's theorem of the alternative and polynomial optimization with sign structure, Theorems of the alternative revisited and some extensions of Yuan's lemma, An extension of Yuan's lemma and its applications in optimization, Toward nonquadratic S-lemma: new theory and application in nonconvex optimization, An extension of Yuan's lemma to fourth-order tensor system, Theorems of the alternative for inequality systems of real polynomials, On global quadratic growth condition for min-max optimization problems with quadratic functions

Cites Work

• Unnamed Item
• On a subproblem of trust region algorithms for constrained optimization
• Matrix Analysis
• Second order multipliers and marginal function in non linear programs
• On Maximizing the Minimum Eigenvalue of a Linear Combination of Symmetric Matrices