Question

Calculate the infinity norm of the 5 × 5 Hilbert matrix.

Please use matlab and show your code.

Answer 1

The MatLab code is,

clc;

clear all ;

n=5;

H=zeros(n);

for i=1:1:n

for j=1:1:n

H(i,j)=1/(i+j-1);

end

end

H

a= norm(H,inf)

The infinity norm of the 5 × 5 Hilbert matrix is 2.2833