10 Numerical Methods for Constrained Optimum Design

Upon completion of this chapter, you will be able to:

• Explain basic steps of a numerical algorithm for solution of constrained optimization problems

• Explain the concepts of a descent direction and descent step for the constrained nonlinear optimization problem

• Linearize the constrained nonlinear optimization problem and define a linear programming subproblem

• Use sequential linear programming algorithm to solve constrained nonlinear optimization problems

• Define a quadratic programming subproblem for the constrained nonlinear optimization problem

• Use an optimization algorithm to solve nonlinear optimization problems

• Use Excel Solver to optimize some engineering design problems ...

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