实用最优化方法：MATLAB编程作业求解初始值下的最优化问题

The given MATLAB program is a practical optimization problem that aims to find the minimum value of a function using the gradient descent method. The initial values are set as x0=[-1;1], and g0 and g1 represent the derivatives of the function at different x values. The program uses a step size of 1 and sets the constants c1=0.1 and c2=0.5. The variables a and b are initialized with values 0 and infinity respectively, and d is set to 1. The variable n is initialized to 0. The program then calculates the new values of x and g based on the given equations. It calculates the function values f0 and f1 using the newly calculated x values and then enters a while loop to check the termination condition. The termination condition is based on the difference between f0 and f1, as well as the angle between the gradients g0 and g1. If the conditions are not met, the program will update the value of d and recalculate the new x and g values. The process will continue until the termination condition is met. In summary, the MATLAB program provided implements a practical optimization method to minimize the function value using the gradient descent approach. The program handles the calculation of new x and g values, and the termination condition is checked through a while loop. The program aims to converge to a minimum function value within the specified constraints and conditions.