Chapter 8 Nonlinear Optimization

• Problem 2 multiplier method
• augmented Lagrange function
• performing multiplier method
• objective function
• equation constraints
• inequality constraints
• Problem 3 find cuboid with minimum surface area under constant volume
• objective function (surface area of cuboid)
• equation constraints (volume of cuboid is constant)
• inequality constraints (three sides have non-negative value in length)
• Problem 4 descent time
• calculate descent time along a path described by piecewise linear interpolation
• even intervals
• finer intervals near starting point
• Problem 5 estimate frequency for a generated signal
• Problem 6 calculate damping value that minimizes setting time
• setting time
• setting time of damped vibration
• equation of motion of damped vibration
• graph of damped vibration

• linear programming
• linear programming
• check if a set of linear simultaneous inequalities has non-zero solution
• example of checking