📄 cn.m
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function cn(P)
%CN
%Condition number of matrix based on 1-norm.
% cond(A)= ||A||*||inv(A)||
%Also gives related concepts:
%inverse,determinant,1-norm of matrix,1-norm of inverse.
%Calling format: cn(A)
%Copyright Gareth Williams, Stetson University
%gwilliam@stetson.edu, http://www.stetson.edu/~gwilliam
%Accompanies "Linear Algebra with Applications" by Gareth Williams
disp(' ')
format compact
if det(P)~=0
original_matrix = P
inverse=(inv(P));
disp(' ')
inverse_matrix =(inv(P))
disp(' ')
determinant_matrix = det(P)
disp(' ')
onenorm_matrix=norm(P,1)
disp(' ')
onenorm_invmatrix=norm(inverse,1)
disp(' ')
condition_number = onenorm_matrix*onenorm_invmatrix
else
disp('determinant = 0')
disp('inverse does not exist')
disp('condition number undefined')
end
disp(' ')
format loose
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