📄 spreadeigs.m
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function [V,D]=spreadeigs(K,coef);%SPREADEIGS Eigenpairs of Spreading operator% Usage: h=spreadeigs(K,c);%% SPREADEIGS(K,c) computes the K largest eigenvalues and eigen-% vectors of the spreading operator with symbol c.%% SEE ALSO: TCONV, SPREADFUN, SPREADINV, SPREADADJ% This program is free software: you can redistribute it and/or modify% it under the terms of the GNU General Public License as published by% the Free Software Foundation, either version 3 of the License, or% (at your option) any later version.% % This program is distributed in the hope that it will be useful,% but WITHOUT ANY WARRANTY; without even the implied warranty of% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the% GNU General Public License for more details.% % You should have received a copy of the GNU General Public License% along with this program. If not, see <http://www.gnu.org/licenses/>.error(nargchk(2,2,nargin));if ndims(coef)>2 || size(coef,1)~=size(coef,2) error('Input symbol coef must be a square matrix.');end;L=size(coef,1);% This version explicitly constucts the matrix representation T% and then applies this matrix as the final step.coef=fft(coef); T=zeros(L);for ii=0:L-1 for jj=0:L-1 T(ii+1,jj+1)=coef(ii+1,mod(ii-jj,L)+1); end;end;if nargout==2 doV=1;else doV=0;end;if doV [V,D]=eig(T);else D=eig(T);end;
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