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1\hypertarget{classsqmat}{
2\section{sqmat Class Reference}
3\label{classsqmat}\index{sqmat@{sqmat}}
4}
5{\tt \#include $<$libDC.h$>$}
6
7Inheritance diagram for sqmat::\begin{figure}[H]
8\begin{center}
9\leavevmode
10\includegraphics[height=2cm]{classsqmat}
11\end{center}
12\end{figure}
13
14
15\subsection{Detailed Description}
16Virtual class for representation of double symmetric matrices in square-root form.
17
18All operations defined on this class should be optimized for the chosen decomposition. \subsection*{Public Member Functions}
19\begin{CompactItemize}
20\item 
21virtual void \hyperlink{classsqmat_b223484796661f2dadb5607a86ce0581}{opupdt} (const vec \&v, double w)=0
22\item 
23\hypertarget{classsqmat_cd0ea3701e4493f353499755fba6e07f}{
24virtual mat \hyperlink{classsqmat_cd0ea3701e4493f353499755fba6e07f}{to\_\-mat} () const =0}
25\label{classsqmat_cd0ea3701e4493f353499755fba6e07f}
26
27\begin{CompactList}\small\item\em Conversion to full matrix. \item\end{CompactList}\item 
28virtual void \hyperlink{classsqmat_60fbbfa9e483b8187c135f787ee53afa}{mult\_\-sym} (const mat \&C)=0
29\begin{CompactList}\small\item\em Inplace symmetric multiplication by a SQUARE matrix $C$, i.e. $V = C*V*C'$. \item\end{CompactList}\item 
30virtual void \hyperlink{classsqmat_6909e906da17725b1b80f3cae7cf3325}{mult\_\-sym\_\-t} (const mat \&C)=0
31\begin{CompactList}\small\item\em Inplace symmetric multiplication by a SQUARE transpose of matrix $C$, i.e. $V = C'*V*C$. \item\end{CompactList}\item 
32\hypertarget{classsqmat_0a772b396750eeeed85d69fa72478b45}{
33virtual double \hyperlink{classsqmat_0a772b396750eeeed85d69fa72478b45}{logdet} () const =0}
34\label{classsqmat_0a772b396750eeeed85d69fa72478b45}
35
36\begin{CompactList}\small\item\em Logarithm of a determinant. \item\end{CompactList}\item 
37virtual vec \hyperlink{classsqmat_6b79438b5d7544a9c8e110a145355d8f}{sqrt\_\-mult} (const vec \&v) const =0
38\begin{CompactList}\small\item\em Multiplies square root of $V$ by vector $x$. \item\end{CompactList}\item 
39\hypertarget{classsqmat_fc026312eb02ba09f85d5aacd6f05ab3}{
40virtual double \hyperlink{classsqmat_fc026312eb02ba09f85d5aacd6f05ab3}{qform} (const vec \&v) const =0}
41\label{classsqmat_fc026312eb02ba09f85d5aacd6f05ab3}
42
43\begin{CompactList}\small\item\em Evaluates quadratic form $x= v'*V*v$;. \item\end{CompactList}\item 
44\hypertarget{classsqmat_6230e8e8a9341866aaa0ce008691aac2}{
45virtual double \hyperlink{classsqmat_6230e8e8a9341866aaa0ce008691aac2}{invqform} (const vec \&v) const =0}
46\label{classsqmat_6230e8e8a9341866aaa0ce008691aac2}
47
48\begin{CompactList}\small\item\em Evaluates quadratic form $x= v'*inv(V)*v$;. \item\end{CompactList}\item 
49\hypertarget{classsqmat_6fca246f9eabbdeb8cac03030e826b5e}{
50virtual void \hyperlink{classsqmat_6fca246f9eabbdeb8cac03030e826b5e}{clear} ()=0}
51\label{classsqmat_6fca246f9eabbdeb8cac03030e826b5e}
52
53\begin{CompactList}\small\item\em Clearing matrix so that it corresponds to zeros. \item\end{CompactList}\item 
54\hypertarget{classsqmat_ecc2e2540f95a04f4449842588170f5b}{
55int \hyperlink{classsqmat_ecc2e2540f95a04f4449842588170f5b}{cols} () const }
56\label{classsqmat_ecc2e2540f95a04f4449842588170f5b}
57
58\begin{CompactList}\small\item\em Reimplementing common functions of mat: \hyperlink{classsqmat_ecc2e2540f95a04f4449842588170f5b}{cols()}. \item\end{CompactList}\item 
59\hypertarget{classsqmat_071e80ced9cc3b8cbb360fa7462eb646}{
60int \hyperlink{classsqmat_071e80ced9cc3b8cbb360fa7462eb646}{rows} () const }
61\label{classsqmat_071e80ced9cc3b8cbb360fa7462eb646}
62
63\begin{CompactList}\small\item\em Reimplementing common functions of mat: \hyperlink{classsqmat_ecc2e2540f95a04f4449842588170f5b}{cols()}. \item\end{CompactList}\item 
64\hypertarget{classsqmat_0481f2067bb32aaea7e6d4f27e46b656}{
65virtual \hyperlink{classsqmat_0481f2067bb32aaea7e6d4f27e46b656}{$\sim$sqmat} ()}
66\label{classsqmat_0481f2067bb32aaea7e6d4f27e46b656}
67
68\begin{CompactList}\small\item\em Destructor for future use;. \item\end{CompactList}\item 
69\hypertarget{classsqmat_4268750c040c716b2c05037f725078a2}{
70\hyperlink{classsqmat_4268750c040c716b2c05037f725078a2}{sqmat} (const int dim0)}
71\label{classsqmat_4268750c040c716b2c05037f725078a2}
72
73\begin{CompactList}\small\item\em Default constructor. \item\end{CompactList}\item 
74\hypertarget{classsqmat_5493a4a11a2b3c41de9cdd8ce305bb44}{
75\hyperlink{classsqmat_5493a4a11a2b3c41de9cdd8ce305bb44}{sqmat} ()}
76\label{classsqmat_5493a4a11a2b3c41de9cdd8ce305bb44}
77
78\begin{CompactList}\small\item\em Default constructor. \item\end{CompactList}\end{CompactItemize}
79\subsection*{Protected Attributes}
80\begin{CompactItemize}
81\item 
82\hypertarget{classsqmat_0abed904bdc0882373ba9adba919689d}{
83int \hyperlink{classsqmat_0abed904bdc0882373ba9adba919689d}{dim}}
84\label{classsqmat_0abed904bdc0882373ba9adba919689d}
85
86\begin{CompactList}\small\item\em dimension of the square matrix \item\end{CompactList}\end{CompactItemize}
87
88
89\subsection{Member Function Documentation}
90\hypertarget{classsqmat_b223484796661f2dadb5607a86ce0581}{
91\index{sqmat@{sqmat}!opupdt@{opupdt}}
92\index{opupdt@{opupdt}!sqmat@{sqmat}}
93\subsubsection[opupdt]{\setlength{\rightskip}{0pt plus 5cm}virtual void sqmat::opupdt (const vec \& {\em v}, \/  double {\em w})\hspace{0.3cm}{\tt  \mbox{[}pure virtual\mbox{]}}}}
94\label{classsqmat_b223484796661f2dadb5607a86ce0581}
95
96
97Perfroms a rank-1 update by outer product of vectors: $V = V + w v v'$. \begin{Desc}
98\item[Parameters:]
99\begin{description}
100\item[{\em v}]Vector forming the outer product to be added \item[{\em w}]weight of updating; can be negative\end{description}
101\end{Desc}
102BLAS-2b operation.
103
104Implemented in \hyperlink{classchmat_bbc2d98d7455b1f38828907d442836bf}{chmat}, \hyperlink{classfsqmat_b36530e155667fe9f1bd58394e50c65a}{fsqmat}, and \hyperlink{classldmat_0f0f6e083e6d947cf58097ffce3ccd1a}{ldmat}.\hypertarget{classsqmat_60fbbfa9e483b8187c135f787ee53afa}{
105\index{sqmat@{sqmat}!mult\_\-sym@{mult\_\-sym}}
106\index{mult\_\-sym@{mult\_\-sym}!sqmat@{sqmat}}
107\subsubsection[mult\_\-sym]{\setlength{\rightskip}{0pt plus 5cm}virtual void sqmat::mult\_\-sym (const mat \& {\em C})\hspace{0.3cm}{\tt  \mbox{[}pure virtual\mbox{]}}}}
108\label{classsqmat_60fbbfa9e483b8187c135f787ee53afa}
109
110
111Inplace symmetric multiplication by a SQUARE matrix $C$, i.e. $V = C*V*C'$.
112
113\begin{Desc}
114\item[Parameters:]
115\begin{description}
116\item[{\em C}]multiplying matrix, \end{description}
117\end{Desc}
118
119
120Implemented in \hyperlink{classchmat_66f509f92b0ccf020e2a2a32566e0777}{chmat}, \hyperlink{classfsqmat_5530d2756b5d991de755e6121c9a452e}{fsqmat}, and \hyperlink{classldmat_e967b9425007f0cb6cd59b845f9756d8}{ldmat}.\hypertarget{classsqmat_6909e906da17725b1b80f3cae7cf3325}{
121\index{sqmat@{sqmat}!mult\_\-sym\_\-t@{mult\_\-sym\_\-t}}
122\index{mult\_\-sym\_\-t@{mult\_\-sym\_\-t}!sqmat@{sqmat}}
123\subsubsection[mult\_\-sym\_\-t]{\setlength{\rightskip}{0pt plus 5cm}virtual void sqmat::mult\_\-sym\_\-t (const mat \& {\em C})\hspace{0.3cm}{\tt  \mbox{[}pure virtual\mbox{]}}}}
124\label{classsqmat_6909e906da17725b1b80f3cae7cf3325}
125
126
127Inplace symmetric multiplication by a SQUARE transpose of matrix $C$, i.e. $V = C'*V*C$.
128
129\begin{Desc}
130\item[Parameters:]
131\begin{description}
132\item[{\em C}]multiplying matrix, \end{description}
133\end{Desc}
134
135
136Implemented in \hyperlink{classchmat_07f50d1332b901eee962e8b1913102f7}{chmat}, \hyperlink{classfsqmat_92052a8adc2054b63e42d1373d145c89}{fsqmat}, and \hyperlink{classldmat_4fd155f38eb6dd5af4bdf9c98a7999a9}{ldmat}.\hypertarget{classsqmat_6b79438b5d7544a9c8e110a145355d8f}{
137\index{sqmat@{sqmat}!sqrt\_\-mult@{sqrt\_\-mult}}
138\index{sqrt\_\-mult@{sqrt\_\-mult}!sqmat@{sqmat}}
139\subsubsection[sqrt\_\-mult]{\setlength{\rightskip}{0pt plus 5cm}virtual vec sqmat::sqrt\_\-mult (const vec \& {\em v}) const\hspace{0.3cm}{\tt  \mbox{[}pure virtual\mbox{]}}}}
140\label{classsqmat_6b79438b5d7544a9c8e110a145355d8f}
141
142
143Multiplies square root of $V$ by vector $x$.
144
145Used e.g. in generating normal samples.
146
147Implemented in \hyperlink{classchmat_b22aa239dbaca33e3fb93b4f674d7051}{chmat}, \hyperlink{classfsqmat_842a774077ee34ac3c36d180ab33e103}{fsqmat}, and \hyperlink{classldmat_fc380626ced6f9244fb58c5f0231174d}{ldmat}.
148
149The documentation for this class was generated from the following file:\begin{CompactItemize}
150\item 
151\hyperlink{libDC_8h}{libDC.h}\end{CompactItemize}
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