Home > tt2 > @qtt_tucker > norm.m

norm

PURPOSE ^

Frobenius norm of the QTT-Tucker

SYNOPSIS ^

function [nrm] = norm(tt)

DESCRIPTION ^

Frobenius norm of the QTT-Tucker
   [NRM]=NORM(QTT_TUCKER) Computes the Frobenius norm of the QTT-Tucker


 TT-Toolbox 2.2, 2009-2012

This is TT Toolbox, written by Ivan Oseledets et al.
Institute of Numerical Mathematics, Moscow, Russia
webpage: http://spring.inm.ras.ru/osel

For all questions, bugs and suggestions please mail
ivan.oseledets@gmail.com
---------------------------

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 function [nrm] = norm(tt)
0002 %Frobenius norm of the QTT-Tucker
0003 %   [NRM]=NORM(QTT_TUCKER) Computes the Frobenius norm of the QTT-Tucker
0004 %
0005 %
0006 % TT-Toolbox 2.2, 2009-2012
0007 %
0008 %This is TT Toolbox, written by Ivan Oseledets et al.
0009 %Institute of Numerical Mathematics, Moscow, Russia
0010 %webpage: http://spring.inm.ras.ru/osel
0011 %
0012 %For all questions, bugs and suggestions please mail
0013 %ivan.oseledets@gmail.com
0014 %---------------------------
0015 d=tt.dphys;
0016 core=tt.core;
0017 tuck=tt.tuck;
0018 for i=1:d
0019     if (isa(tuck{i}, 'tt_matrix'))
0020         tuck{i} = tt_tensor(tuck{i});
0021     end;
0022    [tuck{i},rm]=qr(tuck{i},'lr');
0023    core{i}=ten_conv(core{i},2,rm.');
0024 end
0025 nrm=norm(core);
0026 
0027 return
0028 end

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