MATLAB: Product of Two matrix

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Let W1 and W2 are complex matrix of diamension N1 x Ns and Nr x N1 respectively.

P = transpose(W1*W2), where N1 = N2 and N2 varies from 1 -18 via x axis. then how we will get the P?

How to direct get them in complex form in the matlab in comman wndow page.

Best Answer

N1 = 3 ; Ns = 3 ;
Nr = Ns ; 
W1 = rand(N1,Ns)+1i*rand(N1,Ns) ;
W2 = rand(Nr,N1)+1i*rand(Nr,N1) ;
P = (W1*W2)'

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MATLAB: Can anyone help me to find the mistake in this code

Why the switch from W to V? Seems to me you should be using W all the way through. E.g.,

W = W(I);
Z1 = W1(I).*sqrt(-2.*log(W)./W);
Z2 = W2(I).*sqrt(-2.*log(W)./W);

MATLAB: Matlab Code for the Gauss Legendre Quadrature

Have your vectors of weights be the same size as your vectors of locations, ordered so that corresponding weights and locations are in the same position:

%% parameters
a = -1; % lower bound
b = 1; % upper bound 
n = [-1/sqrt(3) 1/sqrt(3)]; %location values for n=2
n1 = [-0.86113 -0.33998 0.33998 0.86113]; %location values for n=4
n2 = [-0.93246 -0.66120 -0.23861 0.23861 0.66120 0.993246]; % location values for n=6
w = [1 1]; %weight for n=2
w1 = [0.34785 0.625214 0.625214 0.34785]; %weights for n=4
w2 = [0.17132 0.36076 0.6791 0.6791 0.36076 0.17132]; % weights for n=6
f = @(x) (1)./(x.^2 .* (sqrt(x.^2 +1)));%function 
%% Gauss_Legendre Quadrature 
% n=2
gaussleg = sum(w.*f(n));
%n=4
gaussleg1 = sum(w1.*f(n1));
%n=6
gaussleg2 = sum(w2.*f(n2));

Higher precision in your weights and locations will give more accurate results.

(edit) I also changed f slightly so that you could pass in the entire vector of locations at once.

Best Answer

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MATLAB: Can anyone help me to find the mistake in this code

MATLAB: Matlab Code for the Gauss Legendre Quadrature

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