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renamed mat2vec_fun to mat2vec_ode everywhere in code and in document…
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tamaskis committed Aug 29, 2022
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## Utilities for IVP Solvers
`expand_ivp_arrays`\
`mat2vec_fun`\
`mat2vec_ode`\
`mat2vec_IC`\
`mat2vec_C`\
`vec2mat_sol`
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4 changes: 2 additions & 2 deletions docs/mat2vec_C_doc.html
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<td style="text-align:center">1×1<BR>function_handle</td>
</tr>
</table>
</p><h2 id="5">Note</h2><div><ul><li>If <img src="mat2vec_C_doc_eq03729901751903020778.png" alt="$p$" style="width:6px;height:8px;"> is not input, it is assumed that the state matrix (<img src="mat2vec_C_doc_eq01518063970584319034.png" alt="$\mathbf{M}$" style="width:12px;height:8px;">) is a square matrix.</li></ul></div><h2 id="6">See also</h2><p><a href="mat2vec_fun_doc.html"><tt>mat2vec_fun</tt></a> | <a href="mat2vec_IC_doc.html"><tt>mat2vec_IC</tt></a> | <a href="vec2mat_sol_doc.html"><tt>vec2mat_sol</tt></a></p><p class="footer"><br><a href="https://www.mathworks.com/products/matlab/">Published with MATLAB&reg; R2022a</a><br></p></div><!--
</p><h2 id="5">Note</h2><div><ul><li>If <img src="mat2vec_C_doc_eq03729901751903020778.png" alt="$p$" style="width:6px;height:8px;"> is not input, it is assumed that the state matrix (<img src="mat2vec_C_doc_eq01518063970584319034.png" alt="$\mathbf{M}$" style="width:12px;height:8px;">) is a square matrix.</li></ul></div><h2 id="6">See also</h2><p><a href="mat2vec_ode_doc.html"><tt>mat2vec_ode</tt></a> | <a href="mat2vec_IC_doc.html"><tt>mat2vec_IC</tt></a> | <a href="vec2mat_sol_doc.html"><tt>vec2mat_sol</tt></a></p><p class="footer"><br><a href="https://www.mathworks.com/products/matlab/">Published with MATLAB&reg; R2022a</a><br></p></div><!--
##### SOURCE BEGIN #####
%% |mat2vec_C|
% Transforms the condition function for a matrix-valued IVP into the
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% * If $p$ is not input, it is assumed that the state matrix ($\mathbf{M}$)
% is a square matrix.
%% See also
% <mat2vec_fun_doc.html |mat2vec_fun|> |
% <mat2vec_ode_doc.html |mat2vec_ode|> |
% <mat2vec_IC_doc.html |mat2vec_IC|> |
% <vec2mat_sol_doc.html |vec2mat_sol|>
##### SOURCE END #####
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<td style="text-align:center">pr×1<BR>double</td>
</tr>
</table>
</p><h2 id="4">See also</h2><p><a href="mat2vec_fun_doc.html"><tt>mat2vec_fun</tt></a> | <a href="mat2vec_C_doc.html"><tt>mat2vec_C</tt></a> | <a href="vec2mat_sol_doc.html"><tt>vec2mat_sol</tt></a></p><p class="footer"><br><a href="https://www.mathworks.com/products/matlab/">Published with MATLAB&reg; R2022a</a><br></p></div><!--
</p><h2 id="4">See also</h2><p><a href="mat2vec_ode_doc.html"><tt>mat2vec_ode</tt></a> | <a href="mat2vec_C_doc.html"><tt>mat2vec_C</tt></a> | <a href="vec2mat_sol_doc.html"><tt>vec2mat_sol</tt></a></p><p class="footer"><br><a href="https://www.mathworks.com/products/matlab/">Published with MATLAB&reg; R2022a</a><br></p></div><!--
##### SOURCE BEGIN #####
%% |mat2vec_IC|
% Transforms the initial condition for a matrix-valued IVP into the initial
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% </table>
% </html>
%% See also
% <mat2vec_fun_doc.html |mat2vec_fun|> |
% <mat2vec_ode_doc.html |mat2vec_ode|> |
% <mat2vec_C_doc.html |mat2vec_C|> |
% <vec2mat_sol_doc.html |vec2mat_sol|>
##### SOURCE END #####
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<!--
This HTML was auto-generated from MATLAB code.
To make changes, update the MATLAB code and republish this document.
--><title>mat2vec_fun</title><meta name="generator" content="MATLAB 9.12"><link rel="schema.DC" href="http://purl.org/dc/elements/1.1/"><meta name="DC.date" content="2022-08-28"><meta name="DC.source" content="mat2vec_fun_doc.m"><style type="text/css">
--><title>mat2vec_ode</title><meta name="generator" content="MATLAB 9.12"><link rel="schema.DC" href="http://purl.org/dc/elements/1.1/"><meta name="DC.date" content="2022-08-28"><meta name="DC.source" content="mat2vec_fun_doc.m"><style type="text/css">
html,body,div,span,applet,object,iframe,h1,h2,h3,h4,h5,h6,p,blockquote,pre,a,abbr,acronym,address,big,cite,code,del,dfn,em,font,img,ins,kbd,q,s,samp,small,strike,strong,tt,var,b,u,i,center,dl,dt,dd,ol,ul,li,fieldset,form,label,legend,table,caption,tbody,tfoot,thead,tr,th,td{margin:0;padding:0;border:0;outline:0;font-size:100%;vertical-align:baseline;background:transparent}body{line-height:1}ol,ul{list-style:none}blockquote,q{quotes:none}blockquote:before,blockquote:after,q:before,q:after{content:'';content:none}:focus{outine:0}ins{text-decoration:none}del{text-decoration:line-through}table{border-collapse:collapse;border-spacing:0}

html { min-height:100%; margin-bottom:1px; }
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</style></head><body><div class="content"><h1><tt>mat2vec_fun</tt></h1><!--introduction--><p>Transforms a matrix-valued ODE into a vector-valued ODE.</p><p><a href="index.html">Back to IVP Solver Toolbox Contents</a>.</p><!--/introduction--><h2>Contents</h2><div><ul><li><a href="#1">Syntax</a></li><li><a href="#2">Description</a></li><li><a href="#4">Input/Output Parameters</a></li><li><a href="#5">Note</a></li><li><a href="#6">See also</a></li></ul></div><h2 id="1">Syntax</h2><pre class="language-matlab">f = mat2vec_fun(F)
f = mat2vec_fun(F,p)
</pre><h2 id="2">Description</h2><p><tt>f = mat2vec_fun(F)</tt> transforms the matrix-valued ODE <img src="mat2vec_fun_doc_eq01774414981705130240.png" alt="$d\mathbf{M}/dt=\mathbf{F}(t,\mathbf{M})$" style="width:84px;height:11px;"> (where <img src="mat2vec_fun_doc_eq15903383774327063487.png" alt="$\mathbf{F}:\mathrm{R}\times\mathrm{R}^{p\times p}\to\mathrm{R}^{p\times p}$" style="width:100px;height:9px;"> into the vector-valued ODE <img src="mat2vec_fun_doc_eq11546780198861005830.png" alt="$d\mathbf{y}/dt=\mathbf{f}(t,\mathbf{y})$" style="width:71px;height:11px;"> (where <img src="mat2vec_fun_doc_eq15557481901179112500.png" alt="$\mathbf{f}:\mathrm{R}\times\mathrm{R}^{p^{2}}\to\mathrm{R}^{p^{2}}$" style="width:83px;height:11px;">). It is assumed that <img src="mat2vec_fun_doc_eq01518063970584319034.png" alt="$\mathbf{M}$" style="width:12px;height:8px;"> is a square matrix.</p><p><tt>f = mat2vec_fun(F,p)</tt> transforms the matrix-valued ODE <img src="mat2vec_fun_doc_eq01774414981705130240.png" alt="$d\mathbf{M}/dt=\mathbf{F}(t,\mathbf{M})$" style="width:84px;height:11px;"> (where <img src="mat2vec_fun_doc_eq14844018579718567230.png" alt="$\mathbf{F}:\mathrm{R}\times\mathrm{R}^{p\times r}\to\mathrm{R}^{p\times r}$" style="width:99px;height:9px;">) into the vector-valued ODE <img src="mat2vec_fun_doc_eq11546780198861005830.png" alt="$d\mathbf{y}/dt=\mathbf{f}(t,\mathbf{y})$" style="width:71px;height:11px;"> (where <img src="mat2vec_fun_doc_eq16176746348441022933.png" alt="$\mathbf{f}:\mathrm{R}\times\mathrm{R}^{pr}\to\mathrm{R}^{pr}$" style="width:85px;height:8px;">). <tt>p</tt> specifies the number of rows of <tt>M</tt>.</p><h2 id="4">Input/Output Parameters</h2><p>
</style></head><body><div class="content"><h1><tt>mat2vec_ode</tt></h1><!--introduction--><p>Transforms a matrix-valued ODE into a vector-valued ODE.</p><p><a href="index.html">Back to IVP Solver Toolbox Contents</a>.</p><!--/introduction--><h2>Contents</h2><div><ul><li><a href="#1">Syntax</a></li><li><a href="#2">Description</a></li><li><a href="#4">Input/Output Parameters</a></li><li><a href="#5">Note</a></li><li><a href="#6">See also</a></li></ul></div><h2 id="1">Syntax</h2><pre class="language-matlab">f = mat2vec_ode(F)
f = mat2vec_ode(F,p)
</pre><h2 id="2">Description</h2><p><tt>f = mat2vec_ode(F)</tt> transforms the matrix-valued ODE <img src="mat2vec_fun_doc_eq01774414981705130240.png" alt="$d\mathbf{M}/dt=\mathbf{F}(t,\mathbf{M})$" style="width:84px;height:11px;"> (where <img src="mat2vec_fun_doc_eq15903383774327063487.png" alt="$\mathbf{F}:\mathrm{R}\times\mathrm{R}^{p\times p}\to\mathrm{R}^{p\times p}$" style="width:100px;height:9px;"> into the vector-valued ODE <img src="mat2vec_fun_doc_eq11546780198861005830.png" alt="$d\mathbf{y}/dt=\mathbf{f}(t,\mathbf{y})$" style="width:71px;height:11px;"> (where <img src="mat2vec_fun_doc_eq15557481901179112500.png" alt="$\mathbf{f}:\mathrm{R}\times\mathrm{R}^{p^{2}}\to\mathrm{R}^{p^{2}}$" style="width:83px;height:11px;">). It is assumed that <img src="mat2vec_fun_doc_eq01518063970584319034.png" alt="$\mathbf{M}$" style="width:12px;height:8px;"> is a square matrix.</p><p><tt>f = mat2vec_ode(F,p)</tt> transforms the matrix-valued ODE <img src="mat2vec_fun_doc_eq01774414981705130240.png" alt="$d\mathbf{M}/dt=\mathbf{F}(t,\mathbf{M})$" style="width:84px;height:11px;"> (where <img src="mat2vec_fun_doc_eq14844018579718567230.png" alt="$\mathbf{F}:\mathrm{R}\times\mathrm{R}^{p\times r}\to\mathrm{R}^{p\times r}$" style="width:99px;height:9px;">) into the vector-valued ODE <img src="mat2vec_fun_doc_eq11546780198861005830.png" alt="$d\mathbf{y}/dt=\mathbf{f}(t,\mathbf{y})$" style="width:71px;height:11px;"> (where <img src="mat2vec_fun_doc_eq16176746348441022933.png" alt="$\mathbf{f}:\mathrm{R}\times\mathrm{R}^{pr}\to\mathrm{R}^{pr}$" style="width:85px;height:8px;">). <tt>p</tt> specifies the number of rows of <tt>M</tt>.</p><h2 id="4">Input/Output Parameters</h2><p>
<table border=1>
<tr>
<td></td>
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</table>
</p><h2 id="5">Note</h2><div><ul><li>If <img src="mat2vec_fun_doc_eq03729901751903020778.png" alt="$p$" style="width:6px;height:8px;"> is not input, it is assumed that the state matrix (<img src="mat2vec_fun_doc_eq01518063970584319034.png" alt="$\mathbf{M}$" style="width:12px;height:8px;">) is a square matrix.</li></ul></div><h2 id="6">See also</h2><p><a href="mat2vec_IC_doc.html"><tt>mat2vec_IC</tt></a> | <a href="mat2vec_C_doc.html"><tt>mat2vec_C</tt></a> | <a href="vec2mat_sol_doc.html"><tt>vec2mat_sol</tt></a></p><p class="footer"><br><a href="https://www.mathworks.com/products/matlab/">Published with MATLAB&reg; R2022a</a><br></p></div><!--
##### SOURCE BEGIN #####
%% |mat2vec_fun|
%% |mat2vec_ode|
% Transforms a matrix-valued ODE into a vector-valued ODE.
%
% <index.html Back to IVP Solver Toolbox Contents>.
%% Syntax
% f = mat2vec_fun(F)
% f = mat2vec_fun(F,p)
% f = mat2vec_ode(F)
% f = mat2vec_ode(F,p)
%% Description
% |f = mat2vec_fun(F)| transforms the matrix-valued ODE
% |f = mat2vec_ode(F)| transforms the matrix-valued ODE
% $d\mathbf{M}/dt=\mathbf{F}(t,\mathbf{M})$ (where
% $\mathbf{F}:\mathrm{R}\times\mathrm{R}^{p\times p}\to\mathrm{R}^{p\times p}$
% into the vector-valued ODE $d\mathbf{y}/dt=\mathbf{f}(t,\mathbf{y})$
% (where $\mathbf{f}:\mathrm{R}\times\mathrm{R}^{p^{2}}\to\mathrm{R}^{p^{2}}$).
% It is assumed that $\mathbf{M}$ is a square matrix.
%%
% |f = mat2vec_fun(F,p)| transforms the matrix-valued ODE
% |f = mat2vec_ode(F,p)| transforms the matrix-valued ODE
% $d\mathbf{M}/dt=\mathbf{F}(t,\mathbf{M})$ (where
% $\mathbf{F}:\mathrm{R}\times\mathrm{R}^{p\times r}\to\mathrm{R}^{p\times r}$)
% into the vector-valued ODE $d\mathbf{y}/dt=\mathbf{f}(t,\mathbf{y})$
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<td style="text-align:center">p×r×(N+1)<BR>double</td>
</tr>
</table>
</p><h2 id="5">Note</h2><div><ul><li>If <img src="vec2mat_sol_doc_eq03729901751903020778.png" alt="$p$" style="width:6px;height:8px;"> is not input, it is assumed that the state matrix (<img src="vec2mat_sol_doc_eq01518063970584319034.png" alt="$\mathbf{M}$" style="width:12px;height:8px;">) is a square matrix.</li><li><img src="vec2mat_sol_doc_eq14577781216167612366.png" alt="$\mathbf{M}\in\mathbf{R}^{p\times r}$" style="width:48px;height:9px;"></li><li><img src="vec2mat_sol_doc_eq08448184081582174560.png" alt="$\mathbf{y}\in\mathbf{R}^{pr}$" style="width:37px;height:10px;"></li><li><img src="vec2mat_sol_doc_eq00614485794024923100.png" alt="$\mathbf{t}\in\mathbf{R}^{N+1}$" style="width:45px;height:10px;"></li><li>The nth layer of <img src="vec2mat_sol_doc_eq07742130518583913975.png" alt="$[\mathbf{M}]$" style="width:16px;height:11px;"> stores the state matrix (i.e. the solution) corresponding to the nth time in <img src="vec2mat_sol_doc_eq01442555386716173869.png" alt="$\mathbf{t}$" style="width:5px;height:8px;">.</li></ul></div><h2 id="6">See also</h2><p><a href="mat2vec_fun_doc.html"><tt>mat2vec_fun</tt></a> | <a href="mat2vec_IC_doc.html"><tt>mat2vec_IC</tt></a> | <a href="mat2vec_C_doc.html"><tt>mat2vec_C</tt></a></p><p class="footer"><br><a href="https://www.mathworks.com/products/matlab/">Published with MATLAB&reg; R2022a</a><br></p></div><!--
</p><h2 id="5">Note</h2><div><ul><li>If <img src="vec2mat_sol_doc_eq03729901751903020778.png" alt="$p$" style="width:6px;height:8px;"> is not input, it is assumed that the state matrix (<img src="vec2mat_sol_doc_eq01518063970584319034.png" alt="$\mathbf{M}$" style="width:12px;height:8px;">) is a square matrix.</li><li><img src="vec2mat_sol_doc_eq14577781216167612366.png" alt="$\mathbf{M}\in\mathbf{R}^{p\times r}$" style="width:48px;height:9px;"></li><li><img src="vec2mat_sol_doc_eq08448184081582174560.png" alt="$\mathbf{y}\in\mathbf{R}^{pr}$" style="width:37px;height:10px;"></li><li><img src="vec2mat_sol_doc_eq00614485794024923100.png" alt="$\mathbf{t}\in\mathbf{R}^{N+1}$" style="width:45px;height:10px;"></li><li>The nth layer of <img src="vec2mat_sol_doc_eq07742130518583913975.png" alt="$[\mathbf{M}]$" style="width:16px;height:11px;"> stores the state matrix (i.e. the solution) corresponding to the nth time in <img src="vec2mat_sol_doc_eq01442555386716173869.png" alt="$\mathbf{t}$" style="width:5px;height:8px;">.</li></ul></div><h2 id="6">See also</h2><p><a href="mat2vec_ode_doc.html"><tt>mat2vec_ode</tt></a> | <a href="mat2vec_IC_doc.html"><tt>mat2vec_IC</tt></a> | <a href="mat2vec_C_doc.html"><tt>mat2vec_C</tt></a></p><p class="footer"><br><a href="https://www.mathworks.com/products/matlab/">Published with MATLAB&reg; R2022a</a><br></p></div><!--
##### SOURCE BEGIN #####
%% |vec2mat_sol|
% Transforms the solution matrix for a vector-valued IVP into the solution
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% * The nth layer of $[\mathbf{M}]$ stores the state matrix (i.e. the
% solution) corresponding to the nth time in $\mathbf{t}$.
%% See also
% <mat2vec_fun_doc.html |mat2vec_fun|> |
% <mat2vec_ode_doc.html |mat2vec_ode|> |
% <mat2vec_IC_doc.html |mat2vec_IC|> |
% <mat2vec_C_doc.html |mat2vec_C|>
##### SOURCE END #####
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