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n-Mode Tensor - Matrix Product

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n-Mode Tensor - Matrix Product

by Fabian Schneiter

 

26 May 2009

Calculates the n-mode product between a tensor and a matrix.

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Description

according to the definition of De Lathauwer and as referenced by many papers.

B = A (x)_n U

((x)_n: is the multiplication operator, see screenshot!)

where:
  A: tensor of R^( I_1 × I_2 × .. I_n × .. I_N )
  U: matrix of R^( J × I_n)
  B: output tensor of R^(I_1 × I_2 × .. J × .. I_N)
  n: scalar within [1:N], specifying the mode

Syntax:
B = nmodeproduct(A, U, n)

MATLAB release MATLAB 7.7 (R2008b)
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nmode Fabian Schneiter 26 May 2009 12:41:25
matrix Fabian Schneiter 26 May 2009 12:41:25
tensor Fabian Schneiter 26 May 2009 12:41:25
product Fabian Schneiter 26 May 2009 12:41:25
multiplication Fabian Schneiter 26 May 2009 12:41:25
multidimensional Fabian Schneiter 26 May 2009 12:41:25
linear algebra Fabian Schneiter 26 May 2009 12:41:25

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