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Continuous Optimization : Current Trends and Modern Applications - V. Jeyakumar

Continuous Optimization

Current Trends and Modern Applications

By: V. Jeyakumar, ?Alexander M. Rubinov

eText | 9 March 2006 | Edition Number 1

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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 problems are widespread in the mathematical modelling of real world systems for a very broad range of applications. Solution methods for large multivariable constrained continuous optimiza­ tion problems using computers began with the work of Dantzig in the late 1940s on the simplex method for linear programming problems. Recent re­ search in continuous optimization has produced a variety of theoretical devel­ opments, solution methods and new areas of applications. It is impossible to give a full account of the current trends and modern applications of contin­ uous optimization. It is our intention to present a number of topics in order to show the spectrum of current research activities and the development of numerical methods and applications.
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Non-FictionBusiness & ManagementOperational ResearchMathematicsApplied MathematicsOptimisationLinear ProgrammingCalculus & Mathematical AnalysisFunctional Analysis & TransformsManagement & Management Techniques

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