\section{/var/www/mlpack.ratml.\+org/mlpack.org/\+\_\+src/mlpack-\/3.3.0/src/mlpack/core/math/lin\+\_\+alg.hpp File Reference}
\label{lin__alg_8hpp}\index{/var/www/mlpack.\+ratml.\+org/mlpack.\+org/\+\_\+src/mlpack-\/3.\+3.\+0/src/mlpack/core/math/lin\+\_\+alg.\+hpp@{/var/www/mlpack.\+ratml.\+org/mlpack.\+org/\+\_\+src/mlpack-\/3.\+3.\+0/src/mlpack/core/math/lin\+\_\+alg.\+hpp}}
Include dependency graph for lin\+\_\+alg.\+hpp\+:
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This graph shows which files directly or indirectly include this file\+:
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\subsection*{Namespaces}
\begin{DoxyCompactItemize}
\item 
 \textbf{ mlpack}
\begin{DoxyCompactList}\small\item\em strip\+\_\+type.\+hpp \end{DoxyCompactList}\item 
 \textbf{ mlpack\+::math}
\begin{DoxyCompactList}\small\item\em Miscellaneous math routines. \end{DoxyCompactList}\end{DoxyCompactItemize}
\subsection*{Functions}
\begin{DoxyCompactItemize}
\item 
void \textbf{ Center} (const arma\+::mat \&x, arma\+::mat \&x\+Centered)
\begin{DoxyCompactList}\small\item\em Creates a centered matrix, where centering is done by subtracting the sum over the columns (a column vector) from each column of the matrix. \end{DoxyCompactList}\item 
void \textbf{ Orthogonalize} (const arma\+::mat \&x, arma\+::mat \&W)
\begin{DoxyCompactList}\small\item\em Orthogonalize x and return the result in W, using eigendecomposition. \end{DoxyCompactList}\item 
void \textbf{ Orthogonalize} (arma\+::mat \&x)
\begin{DoxyCompactList}\small\item\em Orthogonalize x in-\/place. \end{DoxyCompactList}\item 
void \textbf{ Rand\+Vector} (arma\+::vec \&v)
\begin{DoxyCompactList}\small\item\em Overwrites a dimension-\/N vector to a random vector on the unit sphere in R$^\wedge$N. \end{DoxyCompactList}\item 
void \textbf{ Remove\+Rows} (const arma\+::mat \&input, const std\+::vector$<$ size\+\_\+t $>$ \&rows\+To\+Remove, arma\+::mat \&output)
\begin{DoxyCompactList}\small\item\em Remove a certain set of rows in a matrix while copying to a second matrix. \end{DoxyCompactList}\item 
{\footnotesize template$<$typename T $>$ }\\T \textbf{ Sign} (const T x)
\begin{DoxyCompactList}\small\item\em Signum function. \end{DoxyCompactList}\item 
void \textbf{ Smat} (const arma\+::vec \&input, arma\+::mat \&output)
\begin{DoxyCompactList}\small\item\em The inverse of Svec. \end{DoxyCompactList}\item 
void \textbf{ Svec} (const arma\+::mat \&input, arma\+::vec \&output)
\begin{DoxyCompactList}\small\item\em Upper triangular representation of a symmetric matrix, scaled such that, dot(Svec(\+A), Svec(\+B)) == dot(\+A, B) for symmetric A, B. \end{DoxyCompactList}\item 
void \textbf{ Svec} (const arma\+::sp\+\_\+mat \&input, arma\+::sp\+\_\+vec \&output)
\item 
size\+\_\+t \textbf{ Svec\+Index} (size\+\_\+t i, size\+\_\+t j, size\+\_\+t n)
\begin{DoxyCompactList}\small\item\em Return the index such that A[i,j] == factr(i, j) $\ast$ svec(\+A)[pos(i, j)], where factr(i, j) = sqrt(2) if i != j and 1 otherwise. \end{DoxyCompactList}\item 
void \textbf{ Sym\+Kron\+Id} (const arma\+::mat \&A, arma\+::mat \&op)
\begin{DoxyCompactList}\small\item\em If A is a symmetric matrix, then Sym\+Kron\+Id returns an operator Op such that. \end{DoxyCompactList}\item 
void \textbf{ Vector\+Power} (arma\+::vec \&vec, const double power)
\begin{DoxyCompactList}\small\item\em Auxiliary function to raise vector elements to a specific power. \end{DoxyCompactList}\item 
void \textbf{ Whiten\+Using\+S\+VD} (const arma\+::mat \&x, arma\+::mat \&x\+Whitened, arma\+::mat \&whitening\+Matrix)
\begin{DoxyCompactList}\small\item\em Whitens a matrix using the singular value decomposition of the covariance matrix. \end{DoxyCompactList}\end{DoxyCompactItemize}


\subsection{Detailed Description}
\begin{DoxyAuthor}{Author}
Nishant Mehta
\end{DoxyAuthor}
Linear algebra utilities.

mlpack is free software; you may redistribute it and/or modify it under the terms of the 3-\/clause B\+SD license. You should have received a copy of the 3-\/clause B\+SD license along with mlpack. If not, see {\tt http\+://www.\+opensource.\+org/licenses/\+B\+S\+D-\/3-\/\+Clause} for more information.