Difference between revisions of "Ttclass/hdot.m"

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Hadamard matrix product. Useful as a replacement for trace(A'*B) because trace(A'*B)=hadm(conj(A),B) and the latter only needs O(n^2) multiplications as opposed to O(n^3) for trace(A'*B). Syntax:
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{{DISPLAYTITLE:ttclass/hdot.m}} __NOTOC__
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Hadamard dot product between two tensor train matrices.
  
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==Syntax==
  
 
     c=hdot(a,b)
 
     c=hdot(a,b)
  
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This function is also available for tensor train representations of matrices.
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==Parameters==
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    a,b - tensor train objects representing numerical
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          arrays of the same dimensions and having
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          the same internal topology
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==Outputs==
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    c - Hadamard product of a and b, a scalar
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==See also==
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[[ttclass.m]], [[ttclass/dot.m]], [[hdot.m]], [[ttclass/amensolve.m]], [[ttclass/amensum.m]], [[ttclass/clearcoeff.m]], [[ttclass/conj.m]], [[ttclass/ctranspose.m]], [[ttclass/diag.m]], [[ttclass/full.m]], [[ttclass/ismatrix.m]], [[ttclass/isnumeric.m]], [[ttclass/isreal.m]], [[ttclass/kron.m]], [[ttclass/mean.m]], [[ttclass/minus.m]], [[ttclass/mldivide.m]], [[ttclass/mrdivide.m]], [[ttclass/mtimes.m]], [[ttclass/nnz.m]], [[ttclass/norm.m]], [[ttclass/numel.m]], [[ttclass/pack.m]], [[ttclass/plus.m]], [[ttclass/rand.m]], [[ttclass/ranks.m]], [[ttclass/rdivide.m]], [[ttclass/revert.m]], [[ttclass/shrink.m]], [[ttclass/size.m]], [[ttclass/sizes.m]], [[ttclass/subsref.m]], [[ttclass/sum.m]], [[ttclass/trace.m]], [[ttclass/transpose.m]], [[ttclass/truncate.m]], [[ttclass/ttort.m]], [[ttclass/unit_like.m]], [[ttclass/vec.m]], [[Tensor_train_module]]
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''Version 2.1, authors: [[Dmitry Savostyanov]]''

Latest revision as of 19:42, 6 June 2026

Hadamard dot product between two tensor train matrices.

Syntax

    c=hdot(a,b)

Parameters

    a,b - tensor train objects representing numerical
          arrays of the same dimensions and having
          the same internal topology

Outputs

    c - Hadamard product of a and b, a scalar

See also

ttclass.m, ttclass/dot.m, hdot.m, ttclass/amensolve.m, ttclass/amensum.m, ttclass/clearcoeff.m, ttclass/conj.m, ttclass/ctranspose.m, ttclass/diag.m, ttclass/full.m, ttclass/ismatrix.m, ttclass/isnumeric.m, ttclass/isreal.m, ttclass/kron.m, ttclass/mean.m, ttclass/minus.m, ttclass/mldivide.m, ttclass/mrdivide.m, ttclass/mtimes.m, ttclass/nnz.m, ttclass/norm.m, ttclass/numel.m, ttclass/pack.m, ttclass/plus.m, ttclass/rand.m, ttclass/ranks.m, ttclass/rdivide.m, ttclass/revert.m, ttclass/shrink.m, ttclass/size.m, ttclass/sizes.m, ttclass/subsref.m, ttclass/sum.m, ttclass/trace.m, ttclass/transpose.m, ttclass/truncate.m, ttclass/ttort.m, ttclass/unit_like.m, ttclass/vec.m, Tensor_train_module

Version 2.1, authors: Dmitry Savostyanov

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