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Vectorized Transpose Matrix 1.0

  Date Added: May 26, 2013  |  Visits: 203

Vectorized Transpose Matrix

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The vectorized transpose matrix, Tmn, is the matrix that permutes the vectorization of an m#n matrix A into its transpose vectorization. For example, if the vectorization of A is defined as vec(A), or A(:), then Tmn*vec(A) = vec(A').EXAMPLEThe vectorized transpose matrix can be used to reverse the order of arguments to the otherwise non-commutative Kronecker product.>> m=2;n=3;p=4;q=2;>> A = rand(m,n); B = rand(p,q);>> isequal(TvecMat(p,m)*kron(A,B)*TvecMat(n,q),kron(B,A))ans = 1For other useful properties of the vectorized transpose matrix, see:http://www.ee.ic.ac.uk/hp/staff/dmb/matrix/special.html#VecTranspose ://http://www.ee.ic.ac.uk/hp/staff/dmb...l#VecTranspose

Requirements: No special requirements
Platforms: Matlab
Keyword: Kronecker M3d2n3d3p3d4q3d2 Noncommutative Product Properties Randmn Randpq
Users rating: 0/10

License: Shareware Size: 10 KB
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