diff options
Diffstat (limited to 'unsupported/Eigen/MatrixFunctions')
-rw-r--r-- | unsupported/Eigen/MatrixFunctions | 9 |
1 files changed, 9 insertions, 0 deletions
diff --git a/unsupported/Eigen/MatrixFunctions b/unsupported/Eigen/MatrixFunctions index bf2223a6e..91790c8d2 100644 --- a/unsupported/Eigen/MatrixFunctions +++ b/unsupported/Eigen/MatrixFunctions @@ -41,6 +41,15 @@ namespace Eigen { * \brief This module aims to provide various methods for the computation of * matrix functions. * + * %Matrix functions are defined as follows. Suppose that \f$ f \f$ + * is an entire function (that is, a function on the complex plane + * that is everywhere complex differentiable). Then its Taylor + * series + * \f[ f(0) + f'(0) x + \frac{f''(0)}{2} x^2 + \frac{f'''(0)}{3!} x^3 + \cdots \f] + * converges to \f$ f(x) \f$. In this case, we can define the matrix + * function by the same series: + * \f[ f(M) = f(0) + f'(0) M + \frac{f''(0)}{2} M^2 + \frac{f'''(0)}{3!} M^3 + \cdots \f] + * * \code * #include <unsupported/Eigen/MatrixFunctions> * \endcode |