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erank

PURPOSE ^

Effective rank of the TT-tensor

SYNOPSIS ^

function [er]=erank(tt)

DESCRIPTION ^

Effective rank of the TT-tensor
   [ER]=ERANK(TT)


 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 [er]=erank(tt)
0002 %Effective rank of the TT-tensor
0003 %   [ER]=ERANK(TT)
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 
0016 n=tt.n; d=tt.d; r=tt.r;
0017 sz=dot(n.*r(1:d),r(2:d+1));
0018 er=sz./sum(n); er=sqrt(er);
0019 return
0020 end

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