Abstract
This chapter describes the capabilities of the Optimization Toolbox in ATLAB to solve linear, quadratic, and nonlinear programming problems. It also describes some operators and syntax used to enter expressions and data. In subsequent sections, this chapter illustrates the use of the program for unconstrained and constrained optimization problems. Then some engineering design optimization problems are solved using the program. MATLAB can be considered a high-level programming language for numerical computation, data analysis, and graphics for applications in many fields. It interprets and evaluates expressions entered at the keyboard. The statements are usually in the form variable = expression. The variables can be scalars, arrays, or matrices. Arrays may store many variables at a time. The Optimization Toolbox for MATLAB can solve unconstrained and constrained optimization problems. In addition, it has an algorithm to solve nonsmooth optimization problems. These algorithms are based on the basic concepts of algorithms for smooth and nonsmooth problems. The Optimization Toolbox must be installed in the computer in addition to the basic MATLAB program before it can be used.
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