Example: Function call: lp_norm(2,matrix_norm).

 

matrix_norm:

 

 

at point_1:

 

 

MATLAB code (.\Aorda\PSG\MATLAB\Examples\Func_value_L2.m) for function calculation:

 

%Define data:

H1 = [1 1 1 1];

a = [1;1;1;1];

alpha = 2;

%=======================================================================

%Calculation of function with PSG Subroutine 'tbpsg_function_value'

%Create the PSG matrix 'matrix_1'(structure containing header and matrix body) and pack it to structure 'toolboxstruc_arr':

toolboxstruc_arr(1) = tbpsg_matrix_pack('matrix_1', H1, [],  [], []);

%Create the PSG point 'point_1'(structure containing header and matrix body) and pack it to structure 'toolboxstruc_arr':

toolboxstruc_arr(2) = tbpsg_point_pack('point_1', a, []);

%Create the PSG parameter 'parameter_alpha' and pack it to structure 'toolboxstruc_arr':

toolboxstruc_arr(3) = tbpsg_parameter_pack('parameter_alpha', alpha);

%Calculate lp_norm function with parameter 2 at point 'point_1':

val1 = tbpsg_function_value('lp_norm(parameter_alpha,matrix_1)','point_1',toolboxstruc_arr);

%Display function value:

disp(sprintf('tbpsg_function_value = %g', val1));

%=======================================================================

%Creation of User Subroutine for calculating function value

%User subroutine is similar to the 'functionvalue'

%Create problem statement:

problem_statement = sprintf('%s\n',...

'calculate',...

'Point: point_1',...

'  lp_norm(parameter_alpha,matrix_1)',...

' ');

%Create Subroutine:

tbpsg_create_user_subroutine(problem_statement,toolboxstruc_arr,'.\','calculate_lp_norm');

%Uncomment section to call the user subroutine 'calculate_lp_norm':

%{

%Calculation of function with User Subroutine 'calculate_lp_norm':

[solution_str,outargstruc_arr] = calculate_lp_norm(H1,matrix_1_vars,a,point_1_vars,alpha);

%Extract function value from the solution report:

val = tbpsg_function_data(solution_str, outargstruc_arr);

%}

 

Program output:

 

tbpsg_function_value = 2