MATLAB: Could anyone help me to calculate the euclidean distance for the matrix.

euclidean distance

A= [1.8667 0.1553;

-0.0844 2.4322;

-0.3485 1.4434;

2.3628 0.6821]

I want to calculate the euclidean distance of first row with respect to second,third and fourth row.

Similarly i want to calculate the euclidean distance of second row with respect to first,third and fourth row and so on.

could anyone please help me onthis.

Best Answer

>> B = sqrt(sum(bsxfun(@minus,permute(A,[1,3,2]),permute(A,[3,1,2])).^2,3))
B =
   0.00000   2.99851   2.56248   0.72363
   2.99851   0.00000   1.02346   3.00859
   2.56248   1.02346   0.00000   2.81615
   0.72363   3.00859   2.81615   0.00000

Or use pdist (requires the Statistics Toolbox):

https://www.mathworks.com/help/stats/pdist.html

Related Solutions

MATLAB: How to multiply each row of a matrix with every row of another matrix elementwise

bsxfun(@times,permute(A,[1,3,2]),permute(B,[3,1,2]))

or using MATAB R2016b and newer:

permute(A,[1,3,2]) .* permute(B,[3,1,2])

MATLAB: Toeplitz Matrix Generation from 2 MATRICES

>> A = rand(3,3);
>> B = rand(3,5);
>> N = 4;
>> F = @(n)(A^n)*B;
>> C = arrayfun(F,0:N,'uni',0);
>> C = [{zeros(size(B))},C];
>> X = 1+tril(1+toeplitz(0:N));
>> M = cell2mat(C(X))
M =
   0.69956   0.86686   0.20666   0.46757   0.94893   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000  0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000  0.00000
   0.46328   0.36229   0.56426   0.85822   0.71207   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000  0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000  0.00000
   0.77021   0.83655   0.31248   0.91479   0.48724   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000  0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000  0.00000
   1.04535   1.08015   0.66586   1.30393   1.19787   0.69956   0.86686   0.20666   0.46757   0.94893   0.00000   0.00000  0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000  0.00000
   1.19151   1.33153   0.52492   1.24584   1.20115   0.46328   0.36229   0.56426   0.85822   0.71207   0.00000   0.00000  0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000  0.00000
   1.13782   1.29286   0.44387   1.14332   1.08196   0.77021   0.83655   0.31248   0.91479   0.48724   0.00000   0.00000  0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000  0.00000
   1.92239   2.11932   0.91061   2.08183   1.97011   1.04535   1.08015   0.66586   1.30393   1.19787   0.69956   0.86686  0.20666   0.46757   0.94893   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000  0.00000
   1.89463   2.07432   0.92888   2.08761   1.95665   1.19151   1.33153   0.52492   1.24584   1.20115   0.46328   0.36229  0.56426   0.85822   0.71207   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000  0.00000
   1.73168   1.89633   0.84706   1.90766   1.78390   1.13782   1.29286   0.44387   1.14332   1.08196   0.77021   0.83655  0.31248   0.91479   0.48724   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000  0.00000
   3.13506   3.43921   1.52166   3.43777   3.22857   1.92239   2.11932   0.91061   2.08183   1.97011   1.04535   1.08015  0.66586   1.30393   1.19787   0.69956   0.86686   0.20666   0.46757   0.94893   0.00000   0.00000   0.00000   0.00000  0.00000
   3.12822   3.43513   1.51057   3.42191   3.21683   1.89463   2.07432   0.92888   2.08761   1.95665   1.19151   1.33153  0.52492   1.24584   1.20115   0.46328   0.36229   0.56426   0.85822   0.71207   0.00000   0.00000   0.00000   0.00000  0.00000
   2.85612   3.13678   1.37809   3.12326   2.93605   1.73168   1.89633   0.84706   1.90766   1.78390   1.13782   1.29286  0.44387   1.14332   1.08196   0.77021   0.83655   0.31248   0.91479   0.48724   0.00000   0.00000   0.00000   0.00000  0.00000
   5.15716   5.66180   2.49328   5.64461   5.30487   3.13506   3.43921   1.52166   3.43777   3.22857   1.92239   2.11932  0.91061   2.08183   1.97011   1.04535   1.08015   0.66586   1.30393   1.19787   0.69956   0.86686   0.20666   0.46757  0.94893
   5.13621   5.63814   2.48462   5.62330   5.28412   3.12822   3.43513   1.51057   3.42191   3.21683   1.89463   2.07432  0.92888   2.08761   1.95665   1.19151   1.33153   0.52492   1.24584   1.20115   0.46328   0.36229   0.56426   0.85822  0.71207
   4.68804   5.14614   2.26789   5.13272   4.82305   2.85612   3.13678   1.37809   3.12326   2.93605   1.73168   1.89633  0.84706   1.90766   1.78390   1.13782   1.29286   0.44387   1.14332   1.08196   0.77021   0.83655   0.31248   0.91479  0.48724

And checking:

>> B % equal to main diagonal (e.g. top left corner and bottom right corner):
B =
   0.69956   0.86686   0.20666   0.46757   0.94893
   0.46328   0.36229   0.56426   0.85822   0.71207
   0.77021   0.83655   0.31248   0.91479   0.48724
>> A^N*B % equal to bottom left corner
ans =
   5.1572   5.6618   2.4933   5.6446   5.3049
   5.1362   5.6381   2.4846   5.6233   5.2841
   4.6880   5.1461   2.2679   5.1327   4.8230

Best Answer

Related Solutions

MATLAB: How to multiply each row of a matrix with every row of another matrix elementwise

MATLAB: Toeplitz Matrix Generation from 2 MATRICES

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