Cody

# Problem 481. Rosenbrock's Banana Function and its derivatives

Solution 64824

Submitted on 22 Mar 2012
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### Test Suite

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

``` ```

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

```Error: License checkout failed. License Manager Error -5 Cannot find a license for Symbolic_Toolbox. Troubleshoot this issue by visiting: <a href="http://www.mathworks.com/support/lme/R2013a/5">http://www.mathworks.com/support/lme/R2013a/5</a> Diagnostic Information: Feature: Symbolic_Toolbox License path: 13501@10.206.97.41:13501@10.10.207.33:/tmp/matlabpref/.matlab/R2013a_licenses:/opt/mlsedu/matlab/R2013a/licenses/license.dat:/opt/mlsedu/matlab/R2013a/licenses Licensing error: -5,0. ```

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

```Error: License checkout failed. License Manager Error -5 Cannot find a license for Symbolic_Toolbox. Troubleshoot this issue by visiting: <a href="http://www.mathworks.com/support/lme/R2013a/5">http://www.mathworks.com/support/lme/R2013a/5</a> Diagnostic Information: Feature: Symbolic_Toolbox License path: 13501@10.206.97.41:13501@10.10.207.33:/tmp/matlabpref/.matlab/R2013a_licenses:/opt/mlsedu/matlab/R2013a/licenses/license.dat:/opt/mlsedu/matlab/R2013a/licenses Licensing error: -5,0. ```

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

```Error: License checkout failed. License Manager Error -5 Cannot find a license for Symbolic_Toolbox. Troubleshoot this issue by visiting: <a href="http://www.mathworks.com/support/lme/R2013a/5">http://www.mathworks.com/support/lme/R2013a/5</a> Diagnostic Information: Feature: Symbolic_Toolbox License path: 13501@10.206.97.41:13501@10.10.207.33:/tmp/matlabpref/.matlab/R2013a_licenses:/opt/mlsedu/matlab/R2013a/licenses/license.dat:/opt/mlsedu/matlab/R2013a/licenses Licensing error: -5,0. ```

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

```Error: License checkout failed. License Manager Error -5 Cannot find a license for Symbolic_Toolbox. Troubleshoot this issue by visiting: <a href="http://www.mathworks.com/support/lme/R2013a/5">http://www.mathworks.com/support/lme/R2013a/5</a> Diagnostic Information: Feature: Symbolic_Toolbox License path: 13501@10.206.97.41:13501@10.10.207.33:/tmp/matlabpref/.matlab/R2013a_licenses:/opt/mlsedu/matlab/R2013a/licenses/license.dat:/opt/mlsedu/matlab/R2013a/licenses Licensing error: -5,0. ```

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

```Error: License checkout failed. License Manager Error -5 Cannot find a license for Symbolic_Toolbox. Troubleshoot this issue by visiting: <a href="http://www.mathworks.com/support/lme/R2013a/5">http://www.mathworks.com/support/lme/R2013a/5</a> Diagnostic Information: Feature: Symbolic_Toolbox License path: 13501@10.206.97.41:13501@10.10.207.33:/tmp/matlabpref/.matlab/R2013a_licenses:/opt/mlsedu/matlab/R2013a/licenses/license.dat:/opt/mlsedu/matlab/R2013a/licenses Licensing error: -5,0. ```

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

```Error: License checkout failed. License Manager Error -5 Cannot find a license for Symbolic_Toolbox. Troubleshoot this issue by visiting: <a href="http://www.mathworks.com/support/lme/R2013a/5">http://www.mathworks.com/support/lme/R2013a/5</a> Diagnostic Information: Feature: Symbolic_Toolbox License path: 13501@10.206.97.41:13501@10.10.207.33:/tmp/matlabpref/.matlab/R2013a_licenses:/opt/mlsedu/matlab/R2013a/licenses/license.dat:/opt/mlsedu/matlab/R2013a/licenses Licensing error: -5,0. ```

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

```Error: License checkout failed. License Manager Error -5 Cannot find a license for Symbolic_Toolbox. Troubleshoot this issue by visiting: <a href="http://www.mathworks.com/support/lme/R2013a/5">http://www.mathworks.com/support/lme/R2013a/5</a> Diagnostic Information: Feature: Symbolic_Toolbox License path: 13501@10.206.97.41:13501@10.10.207.33:/tmp/matlabpref/.matlab/R2013a_licenses:/opt/mlsedu/matlab/R2013a/licenses/license.dat:/opt/mlsedu/matlab/R2013a/licenses Licensing error: -5,0. ```

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

```Error: License checkout failed. License Manager Error -5 Cannot find a license for Symbolic_Toolbox. Troubleshoot this issue by visiting: <a href="http://www.mathworks.com/support/lme/R2013a/5">http://www.mathworks.com/support/lme/R2013a/5</a> Diagnostic Information: Feature: Symbolic_Toolbox License path: 13501@10.206.97.41:13501@10.10.207.33:/tmp/matlabpref/.matlab/R2013a_licenses:/opt/mlsedu/matlab/R2013a/licenses/license.dat:/opt/mlsedu/matlab/R2013a/licenses Licensing error: -5,0. ```

10   Fail
%% 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)))

```Error: License checkout failed. License Manager Error -5 Cannot find a license for Symbolic_Toolbox. Troubleshoot this issue by visiting: <a href="http://www.mathworks.com/support/lme/R2013a/5">http://www.mathworks.com/support/lme/R2013a/5</a> Diagnostic Information: Feature: Symbolic_Toolbox License path: 13501@10.206.97.41:13501@10.10.207.33:/tmp/matlabpref/.matlab/R2013a_licenses:/opt/mlsedu/matlab/R2013a/licenses/license.dat:/opt/mlsedu/matlab/R2013a/licenses Licensing error: -5,0. ```