Solution of nonlinear nonconvex optimization problems by Ψ-transformation method

✍ Scribed by V.K. Chichinadze

• Publisher: Elsevier Science
• Year: 1991
• Tongue: English
• Weight: 409 KB
• Volume: 21
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/0898-1221(91)90156-x

✦ Synopsis

The solution of the optimization problems for a wide class of objective functions using the @-Transformation method is considered. The @-Transformation method permits to find the global extremum for a nonconvex differentiable or nondifferentiable function in n-dimensional space. Main principles of the method are presented. Some features of the method connected with the solution of statistical and dynamical optimization problems as well as with the solution of algebraic, transcendental, nonlinear differential and nonlinear partial differential equations are considered. Each problem is illustrated by the corresponding examples.