Question

(b) Write a MATLAB script for computing the norm of a vector in a numerically stable fashion. Demonstrate the performance of your code on a few examples

Answer 1

Matlab code for norm of a vector clear all close all %for any vector x-[1;2;3;4;5] ; nn-norm vec (x); fprintf\tFor vector x=\n' ) disp (x) fprintf\tNorm of xf\n',nn) 웅응움음용용용용용응용용용 %function for norm of a vector function nn-norm_vec (x) In-length(x) ; sum 0; for i-1:ln sum sum(x (i))."2; end nn-sqrt(sum); end 용용 용을용용용 응88용용용용용용용용용용용용용용 End of Code 응용용용용몽용을용용을 For vector x 5 Norm of x-7.416198 Published with MATLAB®R2018a 1

%%Matlab code for norm of a vector
clear all
close all

%for any vector
x=[1;2;3;4;5];
nn=norm_vec(x);

fprintf('\tFor vector x=\n')
disp(x)

fprintf('\tNorm of x=%f\n',nn)

    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%function for norm of a vector
function nn=norm_vec(x)
  
    ln=length(x);
    sum=0;
    for i=1:ln
        sum=sum+(x(i)).^2;
    end
  
    nn=sqrt(sum);
  
end

%%%%%%%%%%%%%%%%%%% End of Code %%%%%%%%%%%%%%%%%%