## RcppEigen: Rcpp Integration for the Eigen Templated Linear Algebra Library

### Synopsis

Eigen is a C++ template library for linear algebra: matrices, vectors, numerical solvers and related algorithms. It supports dense and sparse matrices on integer, floating point and complex numbers, decompositions of such matrices, and solutions of linear systems. Its performance on many algorithms is comparable with some of the best implementations based on `Lapack`

and level-3 `BLAS`

.

RcppEigen provides an interface from R to and from Eigen by using the facilities offered by the Rcpp package for seamless R and C++ integration.

### Examples

A few examples are over at the Rcpp Gallery. A simple one is

```
#include <RcppEigen.h>
// [[Rcpp::depends(RcppEigen)]]
using Eigen::Map; // 'maps' rather than copies
using Eigen::MatrixXd; // variable size matrix, double precision
using Eigen::VectorXd; // variable size vector, double precision
using Eigen::SelfAdjointEigenSolver; // one of the eigenvalue solvers
// [[Rcpp::export]]
VectorXd getEigenValues(Map<MatrixXd> M) {
SelfAdjointEigenSolver<MatrixXd> es(M);
return es.eigenvalues();
}
```

which can be turned into a function callable from R via a simple

`sourceCpp("eigenExample.cpp")`

due to the two Rcpp directives to use headers from the RcppEigen package, and to export the `getEigenValues()`

function – but read the full post for details.

### Status

The package is mature and under active development, following the Eigen release cycle.

### Documentation

The package contains a pdf vignette which is a pre-print of the paper by Bates and Eddelbuettel in JSS (2013, v52i05).

### Authors

Douglas Bates, Dirk Eddelbuettel, Romain Francois, and Yixuan Qiu

### License

GPL (>= 2)