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).


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)