root/doc/html/classldmat.html @ 33

Revision 33, 28.7 kB (checked in by smidl, 17 years ago)

Oprava PF a MPF + jejich implementace pro pmsm system

RevLine 
[33]1<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
2<html><head><meta http-equiv="Content-Type" content="text/html;charset=UTF-8">
3<title>mixpp: ldmat Class Reference</title>
4<link href="doxygen.css" rel="stylesheet" type="text/css">
5<link href="tabs.css" rel="stylesheet" type="text/css">
6</head><body>
7<!-- Generated by Doxygen 1.5.3 -->
8<div class="tabs">
9  <ul>
10    <li><a href="index.html"><span>Main&nbsp;Page</span></a></li>
11    <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
12    <li><a href="files.html"><span>Files</span></a></li>
13    <li><a href="pages.html"><span>Related&nbsp;Pages</span></a></li>
14  </ul>
15</div>
16<div class="tabs">
17  <ul>
18    <li><a href="annotated.html"><span>Class&nbsp;List</span></a></li>
19    <li><a href="hierarchy.html"><span>Class&nbsp;Hierarchy</span></a></li>
20    <li><a href="functions.html"><span>Class&nbsp;Members</span></a></li>
21  </ul>
22</div>
23<h1>ldmat Class Reference</h1><!-- doxytag: class="ldmat" --><!-- doxytag: inherits="sqmat" -->Matrix stored in LD form, (typically known as UD). 
24<a href="#_details">More...</a>
25<p>
26<code>#include &lt;<a class="el" href="libDC_8h-source.html">libDC.h</a>&gt;</code>
27<p>
28<div class="dynheader">
29Inheritance diagram for ldmat:</div>
30<div class="dynsection">
31<p><center><img src="classldmat__inherit__graph.png" border="0" usemap="#ldmat__inherit__map" alt="Inheritance graph"></center>
32<map name="ldmat__inherit__map">
33<area shape="rect" href="classsqmat.html" title="Virtual class for representation of double symmetric matrices in square&#45;root form..." alt="" coords="5,7,67,33"></map>
34<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div>
35<div class="dynheader">
36Collaboration diagram for ldmat:</div>
37<div class="dynsection">
38<p><center><img src="classldmat__coll__graph.png" border="0" usemap="#ldmat__coll__map" alt="Collaboration graph"></center>
39<map name="ldmat__coll__map">
40<area shape="rect" href="classsqmat.html" title="Virtual class for representation of double symmetric matrices in square&#45;root form..." alt="" coords="5,7,67,33"></map>
41<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div>
42
43<p>
44<a href="classldmat-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0">
45<tr><td></td></tr>
46<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr>
47<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="968113788422e858da23a477e98fd3a1"></a><!-- doxytag: member="ldmat::ldmat" ref="968113788422e858da23a477e98fd3a1" args="(const mat &amp;L, const vec &amp;D)" -->
48&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#968113788422e858da23a477e98fd3a1">ldmat</a> (const mat &amp;<a class="el" href="classldmat.html#f74a64b99fe58a75ebd37bb679e121ea">L</a>, const vec &amp;<a class="el" href="classldmat.html#4cce04824539c4a8d062d9a36d6e014e">D</a>)</td></tr>
49
50<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Construct by copy of L and D. <br></td></tr>
51<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5f21785358072d36892d538eed1d1ea5"></a><!-- doxytag: member="ldmat::ldmat" ref="5f21785358072d36892d538eed1d1ea5" args="(const mat &amp;V)" -->
52&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#5f21785358072d36892d538eed1d1ea5">ldmat</a> (const mat &amp;V)</td></tr>
53
54<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Construct by decomposition of full matrix V. <br></td></tr>
55<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="abe16e0f86668ef61a9a4896c8565dee"></a><!-- doxytag: member="ldmat::ldmat" ref="abe16e0f86668ef61a9a4896c8565dee" args="(vec D0)" -->
56&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#abe16e0f86668ef61a9a4896c8565dee">ldmat</a> (vec D0)</td></tr>
57
58<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Construct diagonal matrix with diagonal D0. <br></td></tr>
59<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a12dda6f529580b0377cc45226b43303"></a><!-- doxytag: member="ldmat::ldmat" ref="a12dda6f529580b0377cc45226b43303" args="()" -->
60&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#a12dda6f529580b0377cc45226b43303">ldmat</a> ()</td></tr>
61
62<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default constructor. <br></td></tr>
63<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="163ee002a7858d104da1c59dd11f016d"></a><!-- doxytag: member="ldmat::ldmat" ref="163ee002a7858d104da1c59dd11f016d" args="(const int dim0)" -->
64&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#163ee002a7858d104da1c59dd11f016d">ldmat</a> (const int dim0)</td></tr>
65
66<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default initialization with proper size. <br></td></tr>
67<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1e2734c0164ce5233c4d709679555138"></a><!-- doxytag: member="ldmat::~ldmat" ref="1e2734c0164ce5233c4d709679555138" args="()" -->
68virtual&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#1e2734c0164ce5233c4d709679555138">~ldmat</a> ()</td></tr>
69
70<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Destructor for future use;. <br></td></tr>
71<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#0f0f6e083e6d947cf58097ffce3ccd1a">opupdt</a> (const vec &amp;v, double w)</td></tr>
72
73<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5b0515da8dc2293d9e4360b74cc26c9e"></a><!-- doxytag: member="ldmat::to_mat" ref="5b0515da8dc2293d9e4360b74cc26c9e" args="()" -->
74mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#5b0515da8dc2293d9e4360b74cc26c9e">to_mat</a> ()</td></tr>
75
76<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Conversion to full matrix. <br></td></tr>
77<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#e967b9425007f0cb6cd59b845f9756d8">mult_sym</a> (const mat &amp;C)</td></tr>
78
79<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Inplace symmetric multiplication by a SQUARE matrix $C$, i.e. $V = C*V*C'$.  <a href="#e967b9425007f0cb6cd59b845f9756d8"></a><br></td></tr>
80<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#4fd155f38eb6dd5af4bdf9c98a7999a9">mult_sym_t</a> (const mat &amp;C)</td></tr>
81
82<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Inplace symmetric multiplication by a SQUARE transpose of matrix $C$, i.e. $V = C'*V*C$.  <a href="#4fd155f38eb6dd5af4bdf9c98a7999a9"></a><br></td></tr>
83<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a60f2c7e4f3c6a7738eaaaab81ffad20"></a><!-- doxytag: member="ldmat::add" ref="a60f2c7e4f3c6a7738eaaaab81ffad20" args="(const ldmat &amp;ld2, double w=1.0)" -->
84void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#a60f2c7e4f3c6a7738eaaaab81ffad20">add</a> (const <a class="el" href="classldmat.html">ldmat</a> &amp;ld2, double w=1.0)</td></tr>
85
86<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Add another matrix in LD form with weight w. <br></td></tr>
87<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="2b42750ba4962d439aa52a77ae12949b"></a><!-- doxytag: member="ldmat::logdet" ref="2b42750ba4962d439aa52a77ae12949b" args="() const " -->
88double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#2b42750ba4962d439aa52a77ae12949b">logdet</a> () const </td></tr>
89
90<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Logarithm of a determinant. <br></td></tr>
91<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d64f331b781903e913cb2ee836886f3f"></a><!-- doxytag: member="ldmat::qform" ref="d64f331b781903e913cb2ee836886f3f" args="(const vec &amp;v) const " -->
92double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#d64f331b781903e913cb2ee836886f3f">qform</a> (const vec &amp;v) const </td></tr>
93
94<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates quadratic form $x= v'*V*v$;. <br></td></tr>
95<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="4d6e401de9607332305c27e67972a07a"></a><!-- doxytag: member="ldmat::clear" ref="4d6e401de9607332305c27e67972a07a" args="()" -->
96void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#4d6e401de9607332305c27e67972a07a">clear</a> ()</td></tr>
97
98<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Clearing matrix so that it corresponds to zeros. <br></td></tr>
99<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0fceb6b5b637cec89bb0a3d2e6be1306"></a><!-- doxytag: member="ldmat::cols" ref="0fceb6b5b637cec89bb0a3d2e6be1306" args="() const " -->
100int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#0fceb6b5b637cec89bb0a3d2e6be1306">cols</a> () const </td></tr>
101
102<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr>
103<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="96dfb21865db4f5bd36fa70f9b0b1163"></a><!-- doxytag: member="ldmat::rows" ref="96dfb21865db4f5bd36fa70f9b0b1163" args="() const " -->
104int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#96dfb21865db4f5bd36fa70f9b0b1163">rows</a> () const </td></tr>
105
106<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr>
107<tr><td class="memItemLeft" nowrap align="right" valign="top">vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#fc380626ced6f9244fb58c5f0231174d">sqrt_mult</a> (const vec &amp;v) const </td></tr>
108
109<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Multiplies square root of $V$ by vector $x$.  <a href="#fc380626ced6f9244fb58c5f0231174d"></a><br></td></tr>
110<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#2c160cb123c1102face7a50ec566a031">inv</a> (<a class="el" href="classldmat.html">ldmat</a> &amp;Inv) const </td></tr>
111
112<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Matrix inversion preserving the chosen form.  <a href="#2c160cb123c1102face7a50ec566a031"></a><br></td></tr>
113<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#e7207748909325bb0f99b43f090a2b7e">mult_sym</a> (const mat &amp;C, <a class="el" href="classldmat.html">ldmat</a> &amp;U) const </td></tr>
114
115<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Symmetric multiplication of $U$ by a general matrix $C$, result of which is stored in the current class.  <a href="#e7207748909325bb0f99b43f090a2b7e"></a><br></td></tr>
116<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#f94dc3a233f3d40fc853d8d4ac3b8eab">mult_sym_t</a> (const mat &amp;C, <a class="el" href="classldmat.html">ldmat</a> &amp;U) const </td></tr>
117
118<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Symmetric multiplication of $U$ by a transpose of a general matrix $C$, result of which is stored in the current class.  <a href="#f94dc3a233f3d40fc853d8d4ac3b8eab"></a><br></td></tr>
119<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#f291faa073e7bc8dfafc7ae93daa2506">ldform</a> (const mat &amp;A, const vec &amp;D0)</td></tr>
120
121<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Transforms general $A'D0 A$ into pure $L'DL$.  <a href="#f291faa073e7bc8dfafc7ae93daa2506"></a><br></td></tr>
122<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0884a613b94fde61bfc84288e73ce57f"></a><!-- doxytag: member="ldmat::setD" ref="0884a613b94fde61bfc84288e73ce57f" args="(const vec &amp;nD)" -->
123void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#0884a613b94fde61bfc84288e73ce57f">setD</a> (const vec &amp;nD)</td></tr>
124
125<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Access functions. <br></td></tr>
126<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7619922b4de18830ce5351c6b5667e60"></a><!-- doxytag: member="ldmat::setD" ref="7619922b4de18830ce5351c6b5667e60" args="(const vec &amp;nD, int i)" -->
127void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#7619922b4de18830ce5351c6b5667e60">setD</a> (const vec &amp;nD, int i)</td></tr>
128
129<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Access functions. <br></td></tr>
130<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="32ff66296627ff5341d7c0b973249614"></a><!-- doxytag: member="ldmat::setL" ref="32ff66296627ff5341d7c0b973249614" args="(const vec &amp;nL)" -->
131void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#32ff66296627ff5341d7c0b973249614">setL</a> (const vec &amp;nL)</td></tr>
132
133<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Access functions. <br></td></tr>
134<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classldmat.html">ldmat</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#ca445ee152a56043af946ea095b2d8f8">operator+=</a> (const <a class="el" href="classldmat.html">ldmat</a> &amp;ldA)</td></tr>
135
136<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">add another <a class="el" href="classldmat.html" title="Matrix stored in LD form, (typically known as UD).">ldmat</a> matrix  <a href="#ca445ee152a56043af946ea095b2d8f8"></a><br></td></tr>
137<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classldmat.html">ldmat</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#e3f4d2d85ab1ba384c852329aa31d0fb">operator-=</a> (const <a class="el" href="classldmat.html">ldmat</a> &amp;ldA)</td></tr>
138
139<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">subtract another <a class="el" href="classldmat.html" title="Matrix stored in LD form, (typically known as UD).">ldmat</a> matrix  <a href="#e3f4d2d85ab1ba384c852329aa31d0fb"></a><br></td></tr>
140<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="16871b2d54be6e5dc73f78b8cb90771c"></a><!-- doxytag: member="ldmat::operator *=" ref="16871b2d54be6e5dc73f78b8cb90771c" args="(double x)" -->
141<a class="el" href="classldmat.html">ldmat</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#16871b2d54be6e5dc73f78b8cb90771c">operator *=</a> (double x)</td></tr>
142
143<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">multiply by a scalar <br></td></tr>
144<tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr>
145<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="4cce04824539c4a8d062d9a36d6e014e"></a><!-- doxytag: member="ldmat::D" ref="4cce04824539c4a8d062d9a36d6e014e" args="" -->
146vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#4cce04824539c4a8d062d9a36d6e014e">D</a></td></tr>
147
148<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Positive vector $D$. <br></td></tr>
149<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f74a64b99fe58a75ebd37bb679e121ea"></a><!-- doxytag: member="ldmat::L" ref="f74a64b99fe58a75ebd37bb679e121ea" args="" -->
150mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#f74a64b99fe58a75ebd37bb679e121ea">L</a></td></tr>
151
152<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Lower-triangular matrix $L$. <br></td></tr>
153<tr><td colspan="2"><br><h2>Friends</h2></td></tr>
154<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="eaaa0baa6026b84cfcbced41c84599d1"></a><!-- doxytag: member="ldmat::operator&lt;&lt;" ref="eaaa0baa6026b84cfcbced41c84599d1" args="(std::ostream &amp;os, const ldmat &amp;sq)" -->
155std::ostream &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classldmat.html#eaaa0baa6026b84cfcbced41c84599d1">operator&lt;&lt;</a> (std::ostream &amp;os, const <a class="el" href="classldmat.html">ldmat</a> &amp;sq)</td></tr>
156
157<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">print both <code>L</code> and <code>D</code> <br></td></tr>
158</table>
159<hr><a name="_details"></a><h2>Detailed Description</h2>
160Matrix stored in LD form, (typically known as UD).
161<p>
162Matrix is decomposed as follows: <p class="formulaDsp">
163<img class="formulaDsp" alt="\[M = L'DL\]" src="form_5.png">
164<p>
165 where only $L$ and $D$ matrices are stored. All inplace operations modifies only these and the need to compose and decompose the matrix is avoided. <hr><h2>Member Function Documentation</h2>
166<a class="anchor" name="0f0f6e083e6d947cf58097ffce3ccd1a"></a><!-- doxytag: member="ldmat::opupdt" ref="0f0f6e083e6d947cf58097ffce3ccd1a" args="(const vec &amp;v, double w)" -->
167<div class="memitem">
168<div class="memproto">
169      <table class="memname">
170        <tr>
171          <td class="memname">void ldmat::opupdt           </td>
172          <td>(</td>
173          <td class="paramtype">const vec &amp;&nbsp;</td>
174          <td class="paramname"> <em>v</em>, </td>
175        </tr>
176        <tr>
177          <td class="paramkey"></td>
178          <td></td>
179          <td class="paramtype">double&nbsp;</td>
180          <td class="paramname"> <em>w</em></td><td>&nbsp;</td>
181        </tr>
182        <tr>
183          <td></td>
184          <td>)</td>
185          <td></td><td></td><td width="100%"><code> [virtual]</code></td>
186        </tr>
187      </table>
188</div>
189<div class="memdoc">
190
191<p>
192Perfroms a rank-1 update by outer product of vectors: $V = V + w v v'$. <dl compact><dt><b>Parameters:</b></dt><dd>
193  <table border="0" cellspacing="2" cellpadding="0">
194    <tr><td valign="top"></td><td valign="top"><em>v</em>&nbsp;</td><td>Vector forming the outer product to be added </td></tr>
195    <tr><td valign="top"></td><td valign="top"><em>w</em>&nbsp;</td><td>weight of updating; can be negative</td></tr>
196  </table>
197</dl>
198BLAS-2b operation.
199<p>Implements <a class="el" href="classsqmat.html#b223484796661f2dadb5607a86ce0581">sqmat</a>.</p>
200
201</div>
202</div><p>
203<a class="anchor" name="e967b9425007f0cb6cd59b845f9756d8"></a><!-- doxytag: member="ldmat::mult_sym" ref="e967b9425007f0cb6cd59b845f9756d8" args="(const mat &amp;C)" -->
204<div class="memitem">
205<div class="memproto">
206      <table class="memname">
207        <tr>
208          <td class="memname">void ldmat::mult_sym           </td>
209          <td>(</td>
210          <td class="paramtype">const mat &amp;&nbsp;</td>
211          <td class="paramname"> <em>C</em>          </td>
212          <td>&nbsp;)&nbsp;</td>
213          <td width="100%"><code> [virtual]</code></td>
214        </tr>
215      </table>
216</div>
217<div class="memdoc">
218
219<p>
220Inplace symmetric multiplication by a SQUARE matrix $C$, i.e. $V = C*V*C'$.
221<p>
222<dl compact><dt><b>Parameters:</b></dt><dd>
223  <table border="0" cellspacing="2" cellpadding="0">
224    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>multiplying matrix, </td></tr>
225  </table>
226</dl>
227
228<p>Implements <a class="el" href="classsqmat.html#60fbbfa9e483b8187c135f787ee53afa">sqmat</a>.</p>
229
230</div>
231</div><p>
232<a class="anchor" name="4fd155f38eb6dd5af4bdf9c98a7999a9"></a><!-- doxytag: member="ldmat::mult_sym_t" ref="4fd155f38eb6dd5af4bdf9c98a7999a9" args="(const mat &amp;C)" -->
233<div class="memitem">
234<div class="memproto">
235      <table class="memname">
236        <tr>
237          <td class="memname">void ldmat::mult_sym_t           </td>
238          <td>(</td>
239          <td class="paramtype">const mat &amp;&nbsp;</td>
240          <td class="paramname"> <em>C</em>          </td>
241          <td>&nbsp;)&nbsp;</td>
242          <td width="100%"><code> [virtual]</code></td>
243        </tr>
244      </table>
245</div>
246<div class="memdoc">
247
248<p>
249Inplace symmetric multiplication by a SQUARE transpose of matrix $C$, i.e. $V = C'*V*C$.
250<p>
251<dl compact><dt><b>Parameters:</b></dt><dd>
252  <table border="0" cellspacing="2" cellpadding="0">
253    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>multiplying matrix, </td></tr>
254  </table>
255</dl>
256
257<p>Implements <a class="el" href="classsqmat.html#6909e906da17725b1b80f3cae7cf3325">sqmat</a>.</p>
258
259</div>
260</div><p>
261<a class="anchor" name="fc380626ced6f9244fb58c5f0231174d"></a><!-- doxytag: member="ldmat::sqrt_mult" ref="fc380626ced6f9244fb58c5f0231174d" args="(const vec &amp;v) const " -->
262<div class="memitem">
263<div class="memproto">
264      <table class="memname">
265        <tr>
266          <td class="memname">vec ldmat::sqrt_mult           </td>
267          <td>(</td>
268          <td class="paramtype">const vec &amp;&nbsp;</td>
269          <td class="paramname"> <em>v</em>          </td>
270          <td>&nbsp;)&nbsp;</td>
271          <td width="100%"> const<code> [virtual]</code></td>
272        </tr>
273      </table>
274</div>
275<div class="memdoc">
276
277<p>
278Multiplies square root of $V$ by vector $x$.
279<p>
280Used e.g. in generating normal samples.
281<p>Implements <a class="el" href="classsqmat.html#6b79438b5d7544a9c8e110a145355d8f">sqmat</a>.</p>
282
283</div>
284</div><p>
285<a class="anchor" name="2c160cb123c1102face7a50ec566a031"></a><!-- doxytag: member="ldmat::inv" ref="2c160cb123c1102face7a50ec566a031" args="(ldmat &amp;Inv) const " -->
286<div class="memitem">
287<div class="memproto">
288      <table class="memname">
289        <tr>
290          <td class="memname">void ldmat::inv           </td>
291          <td>(</td>
292          <td class="paramtype"><a class="el" href="classldmat.html">ldmat</a> &amp;&nbsp;</td>
293          <td class="paramname"> <em>Inv</em>          </td>
294          <td>&nbsp;)&nbsp;</td>
295          <td width="100%"> const<code> [virtual]</code></td>
296        </tr>
297      </table>
298</div>
299<div class="memdoc">
300
301<p>
302Matrix inversion preserving the chosen form.
303<p>
304<dl compact><dt><b>Parameters:</b></dt><dd>
305  <table border="0" cellspacing="2" cellpadding="0">
306    <tr><td valign="top"></td><td valign="top"><em>Inv</em>&nbsp;</td><td>a space where the inverse is stored. </td></tr>
307  </table>
308</dl>
309
310</div>
311</div><p>
312<a class="anchor" name="e7207748909325bb0f99b43f090a2b7e"></a><!-- doxytag: member="ldmat::mult_sym" ref="e7207748909325bb0f99b43f090a2b7e" args="(const mat &amp;C, ldmat &amp;U) const " -->
313<div class="memitem">
314<div class="memproto">
315      <table class="memname">
316        <tr>
317          <td class="memname">void ldmat::mult_sym           </td>
318          <td>(</td>
319          <td class="paramtype">const mat &amp;&nbsp;</td>
320          <td class="paramname"> <em>C</em>, </td>
321        </tr>
322        <tr>
323          <td class="paramkey"></td>
324          <td></td>
325          <td class="paramtype"><a class="el" href="classldmat.html">ldmat</a> &amp;&nbsp;</td>
326          <td class="paramname"> <em>U</em></td><td>&nbsp;</td>
327        </tr>
328        <tr>
329          <td></td>
330          <td>)</td>
331          <td></td><td></td><td width="100%"> const</td>
332        </tr>
333      </table>
334</div>
335<div class="memdoc">
336
337<p>
338Symmetric multiplication of $U$ by a general matrix $C$, result of which is stored in the current class.
339<p>
340<dl compact><dt><b>Parameters:</b></dt><dd>
341  <table border="0" cellspacing="2" cellpadding="0">
342    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>matrix to multiply with </td></tr>
343    <tr><td valign="top"></td><td valign="top"><em>U</em>&nbsp;</td><td>a space where the inverse is stored. </td></tr>
344  </table>
345</dl>
346
347</div>
348</div><p>
349<a class="anchor" name="f94dc3a233f3d40fc853d8d4ac3b8eab"></a><!-- doxytag: member="ldmat::mult_sym_t" ref="f94dc3a233f3d40fc853d8d4ac3b8eab" args="(const mat &amp;C, ldmat &amp;U) const " -->
350<div class="memitem">
351<div class="memproto">
352      <table class="memname">
353        <tr>
354          <td class="memname">void ldmat::mult_sym_t           </td>
355          <td>(</td>
356          <td class="paramtype">const mat &amp;&nbsp;</td>
357          <td class="paramname"> <em>C</em>, </td>
358        </tr>
359        <tr>
360          <td class="paramkey"></td>
361          <td></td>
362          <td class="paramtype"><a class="el" href="classldmat.html">ldmat</a> &amp;&nbsp;</td>
363          <td class="paramname"> <em>U</em></td><td>&nbsp;</td>
364        </tr>
365        <tr>
366          <td></td>
367          <td>)</td>
368          <td></td><td></td><td width="100%"> const</td>
369        </tr>
370      </table>
371</div>
372<div class="memdoc">
373
374<p>
375Symmetric multiplication of $U$ by a transpose of a general matrix $C$, result of which is stored in the current class.
376<p>
377<dl compact><dt><b>Parameters:</b></dt><dd>
378  <table border="0" cellspacing="2" cellpadding="0">
379    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>matrix to multiply with </td></tr>
380    <tr><td valign="top"></td><td valign="top"><em>U</em>&nbsp;</td><td>a space where the inverse is stored. </td></tr>
381  </table>
382</dl>
383
384</div>
385</div><p>
386<a class="anchor" name="f291faa073e7bc8dfafc7ae93daa2506"></a><!-- doxytag: member="ldmat::ldform" ref="f291faa073e7bc8dfafc7ae93daa2506" args="(const mat &amp;A, const vec &amp;D0)" -->
387<div class="memitem">
388<div class="memproto">
389      <table class="memname">
390        <tr>
391          <td class="memname">void ldmat::ldform           </td>
392          <td>(</td>
393          <td class="paramtype">const mat &amp;&nbsp;</td>
394          <td class="paramname"> <em>A</em>, </td>
395        </tr>
396        <tr>
397          <td class="paramkey"></td>
398          <td></td>
399          <td class="paramtype">const vec &amp;&nbsp;</td>
400          <td class="paramname"> <em>D0</em></td><td>&nbsp;</td>
401        </tr>
402        <tr>
403          <td></td>
404          <td>)</td>
405          <td></td><td></td><td width="100%"></td>
406        </tr>
407      </table>
408</div>
409<div class="memdoc">
410
411<p>
412Transforms general $A'D0 A$ into pure $L'DL$.
413<p>
414The new decomposition fullfills: $A'*diag(D)*A = self.L'*diag(self.D)*self.L$ <dl compact><dt><b>Parameters:</b></dt><dd>
415  <table border="0" cellspacing="2" cellpadding="0">
416    <tr><td valign="top"></td><td valign="top"><em>A</em>&nbsp;</td><td>general matrix </td></tr>
417    <tr><td valign="top"></td><td valign="top"><em>D0</em>&nbsp;</td><td>general vector </td></tr>
418  </table>
419</dl>
420
421</div>
422</div><p>
423<a class="anchor" name="ca445ee152a56043af946ea095b2d8f8"></a><!-- doxytag: member="ldmat::operator+=" ref="ca445ee152a56043af946ea095b2d8f8" args="(const ldmat &amp;ldA)" -->
424<div class="memitem">
425<div class="memproto">
426      <table class="memname">
427        <tr>
428          <td class="memname"><a class="el" href="classldmat.html">ldmat</a> &amp; ldmat::operator+=           </td>
429          <td>(</td>
430          <td class="paramtype">const <a class="el" href="classldmat.html">ldmat</a> &amp;&nbsp;</td>
431          <td class="paramname"> <em>ldA</em>          </td>
432          <td>&nbsp;)&nbsp;</td>
433          <td width="100%"><code> [inline]</code></td>
434        </tr>
435      </table>
436</div>
437<div class="memdoc">
438
439<p>
440add another <a class="el" href="classldmat.html" title="Matrix stored in LD form, (typically known as UD).">ldmat</a> matrix
441<p>
442Operations: mapping of add operation to operators
443</div>
444</div><p>
445<a class="anchor" name="e3f4d2d85ab1ba384c852329aa31d0fb"></a><!-- doxytag: member="ldmat::operator-=" ref="e3f4d2d85ab1ba384c852329aa31d0fb" args="(const ldmat &amp;ldA)" -->
446<div class="memitem">
447<div class="memproto">
448      <table class="memname">
449        <tr>
450          <td class="memname"><a class="el" href="classldmat.html">ldmat</a> &amp; ldmat::operator-=           </td>
451          <td>(</td>
452          <td class="paramtype">const <a class="el" href="classldmat.html">ldmat</a> &amp;&nbsp;</td>
453          <td class="paramname"> <em>ldA</em>          </td>
454          <td>&nbsp;)&nbsp;</td>
455          <td width="100%"><code> [inline]</code></td>
456        </tr>
457      </table>
458</div>
459<div class="memdoc">
460
461<p>
462subtract another <a class="el" href="classldmat.html" title="Matrix stored in LD form, (typically known as UD).">ldmat</a> matrix
463<p>
464mapping of negative add operation to operators
465</div>
466</div><p>
467<hr>The documentation for this class was generated from the following files:<ul>
468<li>work/mixpp/bdm/math/<a class="el" href="libDC_8h-source.html">libDC.h</a><li>work/mixpp/bdm/math/libDC.cpp</ul>
469<hr size="1"><address style="text-align: right;"><small>Generated on Wed Mar 5 15:40:08 2008 for mixpp by&nbsp;
470<a href="http://www.doxygen.org/index.html">
471<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.3 </small></address>
472</body>
473</html>
Note: See TracBrowser for help on using the browser.