Mathematical properties of optimization problems defined by positively homogeneous functions

DOI10.1023/A:1013088311288zbMath1049.90064WikidataQ101131378 ScholiaQ101131378MaRDI QIDQ5959899

Jean-Bernard Lasserre, Jean-Baptiste Hiriart-Urruty

Publication date: 11 April 2002

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

zbMATH Keywords

global optimizationnonlinear programminghomogeneous programming

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Sensitivity, stability, parametric optimization (90C31)

Related Items (9)

Saddle representations of positively homogeneous functions by linear functions ⋮ On the equivalence of least costly and traditional experiment design for control ⋮ Generalized Euler identity for subdifferentials of homogeneous functions and applications ⋮ On KKT points of homogeneous programs ⋮ Scaling-invariant functions versus positively homogeneous functions ⋮ Subdifferential representation of homogeneous functions and extension of smoothness in Banach spaces ⋮ On Sum of Squares Representation of Convex Forms and Generalized Cauchy--Schwarz Inequalities ⋮ Expressions for subdifferential and optimization problems defined by nonsmooth homogeneous functions ⋮ Developing elasto-plastic models without establishing any expression for the yield function

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• Integration and homogeneous functions
• Integration on a convex polytope

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