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Alexander M. Rubinov
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  • Abstract Convexity and Global Optimizationby Alexander M. Rubinov

    Springer US 2013; US$ 299.00

    Special tools are required for examining and solving optimization problems. The main tools in the study of local optimization are classical calculus and its modern generalizions which form nonsmooth analysis. The gradient and various kinds of generalized derivatives allow us to ac­ complish a local approximation of a given function in a neighbourhood... more...

  • Continuous Optimizationby V. Jeyakumar; Alexander M. Rubinov

    Springer US 2006; US$ 189.00

    Continuous optimization is the study of problems in which we wish to opti­ mize (either maximize or minimize) a continuous function (usually of several variables) often subject to a collection of restrictions on these variables. It has its foundation in the development of calculus by Newton and Leibniz in the 17*^ century. Nowadys, continuous optimization... more...

  • Generalized Convexity and Related Topicsby Igor V. Konnov; Dinh The Luc; Alexander M. Rubinov

    Springer Berlin Heidelberg 2006; US$ 169.00

    In mathematics generalization is one of the main activities of researchers. It opens up new theoretical horizons and broadens the ?elds of applications. Intensive study of generalized convex objects began about three decades ago when the theory of convex analysis nearly reached its perfect stage of devel- ment with the pioneering contributions of Fenchel,... more...

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