dynare/matlab/doc/bicgstab.html

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<title>Description of bicgstab</title>
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<h1>bicgstab
</h1>
<h2><a name="_name"></a>PURPOSE <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
<div class="box"><strong></strong></div>
<h2><a name="_synopsis"></a>SYNOPSIS <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
<div class="box"><strong>function [x,status]=bicgstab(func,b,x,tole,kmax,varargin) </strong></div>
<h2><a name="_description"></a>DESCRIPTION <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
<div class="fragment"><pre class="comment"></pre></div>
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<h2><a name="_cross"></a>CROSS-REFERENCE INFORMATION <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
This function calls:
<ul style="list-style-image:url(../matlabicon.gif)">
</ul>
This function is called by:
<ul style="list-style-image:url(../matlabicon.gif)">
<li><a href="calib_obj.html" class="code" title="function f=calib_obj(M_.Sigma_e,A,ghu1,ghx,ghu,targets,var_weights,iy,nar)">calib_obj</a> targets and iy order: 1) variances 2) correlations</li></ul>
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<h2><a name="_source"></a>SOURCE CODE <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
<div class="fragment"><pre>0001 <a name="_sub0" href="#_subfunctions" class="code">function [x,status]=bicgstab(func,b,x,tole,kmax,varargin)</a>
0002 status = 0;
0003 r=b-feval(func,x,varargin{:});
0004 rh_0 = r;
0005 rh = r;
0006 rho_0 = 1;
0007 alpha = 1;
0008 w = 1;
0009 v = 0;
0010 p = 0;
0011 k = 0;
0012 rho_1 = rh_0'*r;
0013 tolr = tole*norm(b);
0014
0015 <span class="keyword">while</span> norm(r) &gt; tolr &amp; k &lt; kmax
0016 k = k+1;
0017 beta = (rho_1/rho_0)*(alpha/w);
0018 p = r+beta*(p-w*v);
0019 v = feval(func,p,varargin{:});
0020 alpha = rho_1/(rh_0'*v);
0021 r = r-alpha*v;
0022 t = feval(func,r,varargin{:});
0023 w = (t'*r)/(t'*t);
0024 rho_0 = rho_1;
0025 rho_1 = -w*(rh_0'*t);
0026 x = x+alpha*p+w*r;
0027 r = r-w*t;
0028 <span class="keyword">end</span>
0029 <span class="keyword">if</span> k == kmax
0030 status = 1;
0031 warning(sprintf(<span class="string">'BICSTABN didn''t converge after %d iterations: norm(r) = %g'</span>,kmax,norm(r)));
0032 <span class="keyword">end</span></pre></div>
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