Chapter 2 MATLAB
2.1 matrix and vector
2.2 drawing graph of functions
2.2 canonical form of van der Pol equation
2.2 solving van der Pol equation numerically (fixed step size)
2.2 solving van der Pol equation numerically (variable step size)
2.3 Rosenbrock function
2.3 minimizing Rosenbrock function
2.4 parameter passing: global variables
ordinary differential equation (global variables)
2.4 parameter passing: nested function
ordinary differential equation (nested function)
2.5 generating uniform random numbers
Problem 1 element-wise operations
Problem 2 solving ODE with multiple fixed step sizes
ordinary differential equation (simple vibration)
Problem 3 phase plot of van der Pol equationく
Problem 4 minimizing n-variable Rosenbrock function
n-variable Rosenbrock function
Problem 5 minimizing a function with a Lagrange multiplier
objective function (surface area of parallelepiped + multiplier * constraint equation)
Problem 6 compute a parallelepiped with minimum surface area with constant volume
objective function (surface area of parallelepiped)
constraints (equation for constant volume and inequalities for positive edge lengths)
Problem 7 generating signal with noise
sinusoidal signal + noise (uniform random number)