Hdot.m

Hadamard route to Frobenius matrix product. This function computes the Frobenius inner product of two numerical arrays using elementwise multiplication.

Syntax

    H=hdot(A,B)

Parameters

    A,B - square matrices of the same size

Outputs

    H - Frobenius inner product of A and B

Notes

For matrices, the function is a faster replacement for `trace(A'*B)` because

    trace(A'*B)=sum(conj(A).*B,'all')

and the elementwise route only needs O(n²) multiplications for square n-by-n matrices, compared to O(n³) for matrix multiplication followed by the trace.

See also

ttclass/hdot.m, cheap_norm.m, krondelta.m, tikhonov.m, acomm.m, arnoldi.m, atranspose.m, aux_mat.m, binpack.m, cheb_coeff.m, clean_up.m, dirdiff.m, eigenfields.m, expdrop.m, expmint.m, expmint2.m, fftdiff.m, fourdif.m, fourlap.m, frob_chop.m, gaussfun.m, herm_spline.m, jacobianest.m, keep_rank.m, kronm_new.m, logfactorial.m, lorentzcon.m, lorentzfun.m, md5_hash.m, mprealloc.m, remncomm.m, remtrace.m, rspert.m, rspt_eig.m, snormpdf.m, svd_shrink.m, tikhoind.m, trapdiff.m, unit_oper.m, unit_state.m, vvpert.m, Kernel_utilities

Version 2.11, authors: Ilya Kuprov