Rockafellar, R. T. The theory of subgradients and its applications to problems of optimization. Convex and nonconvex functions. (English) Zbl 0462.90052 R & E, Research and Education in Mathematics, 1. Berlin: Heldermann Verlag. VII, 107 p.; DM 28.00 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 147 Documents MSC: 90C30 Nonlinear programming 26B05 Continuity and differentiation questions 47H05 Monotone operators and generalizations 90C25 Convex programming 26A51 Convexity of real functions in one variable, generalizations 26B25 Convexity of real functions of several variables, generalizations 90C31 Sensitivity, stability, parametric optimization 90-02 Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming 49N15 Duality theory (optimization) 49M37 Numerical methods based on nonlinear programming 90C52 Methods of reduced gradient type 90C55 Methods of successive quadratic programming type 54-02 Research exposition (monographs, survey articles) pertaining to general topology 52A20 Convex sets in \(n\) dimensions (including convex hypersurfaces) Keywords:nonconvex functions; subgradients; nondifferentiable functions; normal cones; subderivative; lower semi-continuous function; epigraph; subdifferential; duality theory; theory of marginal functions; sensitivity analysis; subgradient multifunctions; monotone operators; contingent cone; tangent cone; hypertangent cone; convex analysis PDFBibTeX XML