Cody

Problem 481. Rosenbrock's Banana Function and its derivatives

Solution 2732814

Submitted on 23 Jul 2020 by Khiem Nguyen
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.

Test Suite

Test Status Code Input and Output
1   Pass
assert(isempty(regexp(fileread('Rosenbrock_banana.m'),'assert.m')))

2   Pass
x = [0; 0]; assert(isequal(Rosenbrock_banana(x),1))

3   Pass
x = [1; 1]; assert(isequal(Rosenbrock_banana(x),0))

4   Pass
x = [1; -1]; assert(isequal(Rosenbrock_banana(x),400))

5   Pass
x = [-1; 0.5]; assert(isequal(Rosenbrock_banana(x),29))

6   Pass
x = [0; 0]; [~,grad]=Rosenbrock_banana(x); assert(isequal(grad,[-2; 0]))

7   Pass
x = [0; 0]; [~,~,Hess]=Rosenbrock_banana(x); assert(isequal(Hess,diag([2, 200])))

8   Pass
x = [1; 1]; [~,grad]=Rosenbrock_banana(x); assert(isequal(grad,[0; 0]))

9   Pass
x = [1; 1]; [~,~,Hess]=Rosenbrock_banana(x); assert(isequal(Hess,[802, -400; -400, 200]))

10   Pass
x = [-1.9; 2]; correct_value = 267.6200; correct_grad = -1e3*[1.2294; 0.3220]; correct_Hess = [3534, 760; 760, 200]; [val,grad,Hess]=Rosenbrock_banana(x); assert(isequal(str2num(num2str(val)),correct_value)) assert(isequal(str2num(num2str(grad)),correct_grad)) assert(all(max(abs(Hess-correct_Hess)<1e-8)))