📄 toon0561.m
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% toon0561 -- Fast Algorithm for Matrix Multiplication
%
% Illustrate Compression of Matrix Multiplication
% using matrix with logarithmic singularity on diagonal.
%
% The Matrix has the form
% sin(2*pi .*X) .* sin(2*pi .*Y) .* log(abs(X-Y));
%
% This is not circulant or Toeplitz, so Fourier Methods
% cannot be applied.
%
% First depict the matrix.
%
xm = linspace(0,1,128);
ym = xm + xm(2)/2;
% [X,Y] = meshdom(xm,ym); % DLD 09/29/99
[X,Y] = meshgrid(xm,ym);
Y = flipud(Y);
mat = sin(2*pi .*X) .* sin(2*pi .*Y) .* log(abs(X-Y));
%
zmat = (mat + 6) .* 40;
GrayImage(zmat);
brighten(-.5)
brighten(-.5)
title('Sin(2*pi*x) Sin(2*pi*y) Log(Abs(X-y))')
%% Part of Wavelab Version 850% Built Tue Jan 3 13:20:43 EST 2006% This is Copyrighted Material% For Copying permissions see COPYING.m% Comments? e-mail wavelab@stat.stanford.edu
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