dynare/matlab/doc/dynare_solve.html

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<title>Description of dynare_solve</title>
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<div><a href="../index.html">Home</a> &gt; <a href="index.html">.</a> &gt; dynare_solve.m</div>
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<h1>dynare_solve
</h1>
<h2><a name="_name"></a>PURPOSE <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
<div class="box"><strong>Copyright (C) 2001 Michel Juillard</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,cheik] = dynare_solve(func,x,jacobian_flag,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"> Copyright (C) 2001 Michel Juillard</pre></div>
<!-- crossreference -->
<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)">
<li><a href="set_default_option.html" class="code" title="function options=set_default_option(options,field,default)">set_default_option</a> </li><li><a href="solve1.html" class="code" title="function [x,check] = solve1(func,x,j1,j2,jacobian_flag,varargin)">solve1</a> Copyright (C) 2001 Michel Juillard</li></ul>
This function is called by:
<ul style="list-style-image:url(../matlabicon.gif)">
<li><a href="olr1.html" class="code" title="function dr = olr1(ys,algo,olr_inst,bet,obj_var,W)">olr1</a> Copyright (C) 2001 Michel Juillard</li><li><a href="osr1.html" class="code" title="function oo_.dr=osr1(params,weights)">osr1</a> </li><li><a href="resol.html" class="code" title="function [dr,info]=resol(ys,check_flag)">resol</a> Copyright (C) 2001 Michel Juillard</li><li><a href="resol1.html" class="code" title="function dr=resol1(ys,algo,linear,iorder)">resol1</a> Copyright (C) 2001 Michel Juillard</li><li><a href="simult_.html" class="code" title="function y_=simult_(y0,dr,ex_,iorder)">simult_</a> Copyright (C) 2001 Michel Juillard</li><li><a href="steady_.html" class="code" title="function steady_()">steady_</a> Copyright (C) 2001 Michel Juillard</li></ul>
<!-- crossreference -->
<h2><a name="_source"></a>SOURCE CODE <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
<div class="fragment"><pre>0001 <span class="comment">% Copyright (C) 2001 Michel Juillard</span>
0002 <span class="comment">%</span>
0003 <a name="_sub0" href="#_subfunctions" class="code">function [x,cheik] = dynare_solve(func,x,jacobian_flag,varargin)</a>
0004 <span class="keyword">global</span> options_
0005
0006 options_ = <a href="set_default_option.html" class="code" title="function options=set_default_option(options,field,default)">set_default_option</a>(options_,<span class="string">'solve_algo'</span>,2);
0007 cheik = 0;
0008 <span class="keyword">if</span> options_.solve_algo == 0
0009 <span class="keyword">if</span> ~isempty(which(<span class="string">'fsolve'</span>)) &amp; sscanf(version(<span class="string">'-release'</span>),<span class="string">'%d'</span>) &gt;= 13;
0010 options=optimset(<span class="string">'fsolve'</span>);
0011 options.MaxFunEvals = 20000;
0012 options.TolFun=1e-8;
0013 options.Display = <span class="string">'off'</span>;
0014 <span class="keyword">if</span> jacobian_flag
0015 options.Jacobian = <span class="string">'on'</span>;
0016 <span class="keyword">else</span>
0017 options.Jacobian = <span class="string">'on'</span>;
0018 <span class="keyword">end</span>
0019 [x,fval,exitval,output] = fsolve(func,x,options,varargin{:});
0020 <span class="keyword">if</span> exitval &gt; 0
0021 cheik = 0;
0022 <span class="keyword">else</span>
0023 cheik = 1;
0024 <span class="keyword">end</span>
0025 <span class="keyword">return</span>
0026 <span class="keyword">else</span>
0027 options_.solve_algo = 1;
0028 <span class="keyword">end</span>
0029 <span class="keyword">end</span>
0030
0031 <span class="keyword">if</span> options_.solve_algo == 1
0032 nn = size(x,1) ;
0033 [x,cheik]=<a href="solve1.html" class="code" title="function [x,check] = solve1(func,x,j1,j2,jacobian_flag,varargin)">solve1</a>(func,x,1:nn,1:nn,jacobian_flag,varargin{:});
0034 <span class="keyword">elseif</span> options_.solve_algo == 2
0035 nn = size(x,1) ;
0036 tolf = eps^(2/3) ;
0037
0038 <span class="keyword">if</span> jacobian_flag
0039 [fvec,fjac] = feval(func,x,varargin{:});
0040 <span class="keyword">else</span>
0041 fvec = feval(func,x,varargin{:});
0042 fjac = zeros(nn,nn) ;
0043 <span class="keyword">end</span>
0044
0045 i = find(~isfinite(fvec));
0046
0047 <span class="keyword">if</span> ~isempty(i)
0048 disp([<span class="string">'STEADY: numerical initial values incompatible with the following'</span> <span class="keyword">...</span>
0049 <span class="string">' equations'</span>])
0050 disp(i')
0051 error(<span class="string">'exiting ...'</span>)
0052 <span class="keyword">end</span>
0053
0054 f = 0.5*fvec'*fvec ;
0055
0056 <span class="keyword">if</span> max(abs(fvec)) &lt; 0.01*tolf
0057 <span class="keyword">return</span> ;
0058 <span class="keyword">end</span>
0059
0060 <span class="keyword">if</span> ~jacobian_flag
0061 fjac = zeros(nn,nn) ;
0062 dh = max(abs(x),options_.gstep*ones(nn,1))*eps^(1/3);
0063 <span class="keyword">for</span> j = 1:nn
0064 xdh = x ;
0065 xdh(j) = xdh(j)+dh(j) ;
0066 fjac(:,j) = (feval(func,xdh,varargin{:}) - fvec)./dh(j) ;
0067 <span class="keyword">end</span>
0068 <span class="keyword">end</span>
0069
0070 [j1,j2,r,s] = dmperm(fjac);
0071
0072 <span class="keyword">for</span> i=length(r)-1:-1:1
0073 [x,cheik]=<a href="solve1.html" class="code" title="function [x,check] = solve1(func,x,j1,j2,jacobian_flag,varargin)">solve1</a>(func,x,j1(r(i):r(i+1)-1),j2(r(i):r(i+1)-1),jacobian_flag,varargin{:});
0074 <span class="keyword">if</span> cheik
0075 error(sprintf(<span class="string">'Solve block = %d check = %d\n'</span>,i,cheik));
0076 <span class="keyword">end</span>
0077 <span class="keyword">end</span>
0078 [x,cheik]=<a href="solve1.html" class="code" title="function [x,check] = solve1(func,x,j1,j2,jacobian_flag,varargin)">solve1</a>(func,x,1:nn,1:nn,jacobian_flag,varargin{:});
0079
0080 <span class="keyword">end</span>
0081 <span class="comment">% fvec1 = feval(func,x,varargin{:})</span>
0082
0083 <span class="comment">% 08/28/03 MJ add a final call to solve1 for solve_algo == 1 in case</span>
0084 <span class="comment">% initvals generates 'false' zeros in the Jacobian</span>
0085</pre></div>
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