Example: Function call: st_pen_ni(matrix_7,matrix_8).

 

matrix_7:
 

 

matrix_8:
 

 

Standard Penalty Using Mean Matrix and PSG Matrix is calculated at point_1:

 

 

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

 

%Define data:

H1 = [1 4 8 3];

header_1 = {'x1', 'x2', 'x3', 'x4'};

c1 = -2;

H2 = [11 3 2 0];

header_2 = {'x1', 'x2', 'x3', 'x4'};

c2 = 9;

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

 

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

%Calculation of function with PSG Subroutine 'functionvalue'

%Calculate st_pen_ni function at point 'a':

val1 = functionvalue('st_pen_ni', [], {H1 ,H2}, {c1 ,c2}, {[] ,[]}, a);

%Display function value:

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

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

%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, [],  c1, []);

%Create the PSG matrix 'matrix_2'(structure containing header and matrix body) and pack it to structure 'toolboxstruc_arr':

toolboxstruc_arr(2) = tbpsg_matrix_pack('matrix_2', H2, [],  c2, []);

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

toolboxstruc_arr(3) = tbpsg_point_pack('point_1', a, []);

%Calculate st_pen_ni function at point 'point_1':

val2 = tbpsg_function_value('st_pen_ni(matrix_1,matrix_2)','point_1',toolboxstruc_arr);

%Display function value:

disp(sprintf('tbpsg_function_value = %g', val2));

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

%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',...

'  st_pen_ni(matrix_1,matrix_2)',...

' ');

%Create Subroutine:

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

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

%{

%Calculation of function with User Subroutine 'calculate_st_pen_ni':

[solution_str,outargstruc_arr] = calculate_st_pen_ni(H1,matrix_1_vars,c1,H2,matrix_2_vars,c2,a,point_1_vars);

%Extract function value from the solution report:

val = tbpsg_function_data(solution_str, outargstruc_arr);

%}

 

 

Program output:

 

functionvalue = 18.6815

tbpsg_function_value = 18.6815