May 2015
Intermediate to advanced
466 pages
10h 33m
English
Content preview from Optimization
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326 Appendix B
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% MATLAB code quadr.m
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% x -> independent variable and symbolic variable (later)
% y -> exp(-x)
% syms -> symbolic object (MATLAB function)
% taylor -> MATLAB function
% subs -> symbolic substitution (MATLAB function)
% xlabel, ylabel, legend, plot, hold on -> MATLAB functions
%
x = -2:0.01:2;
y = exp(-x);
plot(x,y)
hold on
% Linear approximation
syms x
f = taylor(exp(-x),2);
x = -2:0.01:2;
z = subs(f);
plot(x,z,'r--')
% Quadratic approximation
syms x
f = taylor(exp(-x),3);
x = -2:0.01:2;
z = subs(f);
plot(x,z,'g--')
legend('exp(-x)','linear','quadratic')
xlabel('x')
ylabel('f(x)')
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% MATLAB ...
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