tikhonov

整理的tikhonov算法。包含一般的以及迭代的。有详细算例。

function Iterated_Tikhonov
%***-------Auther: LIU WEN--------**%
%***Wuhan University of Technology***%
%-----------Data 9/29/2009---------%
% Solve the Equation “Kf=G“ %
N_X=70;N_Y=70;
X=linspace（010N_X）;Y=linspace（010N_Y）;
K=zeros（N_XN_Y）; % Creat the matrix K
G=zeros（N_X1）; %
F_real=（Y.*exp（-Y））‘;% The right result  N_Y * 1
% plot（F_real‘b-‘）hold on
Delta=0.005; % The Rand Error
for i=1:N_X
    for j=1:N_Y
        K（ij）=max （X）/N_X*exp（-X（i）*Y（j））;  % N_X * N_Y
    end
    G（i）=-（10*exp（-10*X（i）-10）*X（i）+11*exp（-10*X（i）-10）-1）/（X（i）+1）^2;
end
G_noise=G+（Delta*randn（1length（G）））‘; % The value with noise of Delta  N_X * 1
%------------------------------------------------------------------------------%
B=K‘*K;h=K‘*G_noise;
Ruo=1; W=1.01;
[QT]=hess（B）;

 属性            大小     日期    时间   名称
----------- ---------  ---------- -----  ----
     目录           0  2014-11-06 14:56  tikhonov\
     文件        1428  2014-10-20 09:42  tikhonov\Iterated_Tikhonov.m
     目录           0  2014-11-06 14:56  tikhonov\tik\
     目录           0  2014-11-06 14:56  tikhonov\tik2\
     文件        5695  2012-12-18 14:24  tikhonov\tik2\CHAINE_l1.m
     文件         721  2007-07-22 16:26  tikhonov\tik2\csvd.m
     文件        5886  2013-03-21 19:14  tikhonov\tik2\four algorithms_imp.asv
     文件        5895  2013-03-21 21:17  tikhonov\tik2\four algorithms_imp.m
     文件        4814  2007-08-03 07:42  tikhonov\tik2\gcv.m
     文件         287  2008-02-24 21:55  tikhonov\tik2\gcvfun.m
     文件        2169  2008-03-09 13:03  tikhonov\tik2\i_laplace.m
     文件        2891  2011-08-26 11:09  tikhonov\tik2\l1.m
     文件        8414  2008-04-10 17:49  tikhonov\tik2\l1_ls.m
     文件        7985  2008-04-10 17:48  tikhonov\tik2\l1_ls_nonneg.m
     文件        1731  2007-07-23 10:08  tikhonov\tik2\lagrange.m
     文件        2815  2007-07-30 07:58  tikhonov\tik2\lanc_b.m
     文件        1273  2008-01-04 10:28  tikhonov\tik2\lcfun.m
     文件         887  2007-07-23 10:30  tikhonov\tik2\lsolve.m
     文件        5152  2007-08-06 15:31  tikhonov\tik2\lsqi.m
     文件        3795  2007-09-01 11:25  tikhonov\tik2\lsqr_b.m
     文件        7128  2007-08-06 20:07  tikhonov\tik2\l_corner.m
     文件        4680  2007-07-30 07:57  tikhonov\tik2\l_curve.m
     文件          89  2010-11-05 15:32  tikhonov\tik2\myfun.m
     文件        1828  2007-07-30 08:04  tikhonov\tik2\plot_lc.m
     文件        3309  2013-03-22 09:48  tikhonov\tik2\powersim.asv
     文件         110  2011-09-28 19:21  tikhonov\tik2\snr_cal.m
     文件         559  2007-07-30 07:37  tikhonov\tik2\spleval.m
     文件        6598  2011-09-30 10:44  tikhonov\tik2\s_for_deviation.m
     文件        6793  2011-09-30 22:52  tikhonov\tik2\s_for_dev_tsvd.m
     文件        5328  2011-09-28 16:52  tikhonov\tik2\s_for_mean.m
     文件        3248  2007-07-30 08:08  tikhonov\tik2\tikhonov.m
............此处省略22个文件信息