From 51573da3a4407288b900e8764e20de4fc09018d3 Mon Sep 17 00:00:00 2001 From: Chen-Pang He Date: Sun, 21 Jul 2013 01:00:36 +0800 Subject: Warn about power of a matrix with non-semisimple 0 eigenvalue. --- unsupported/Eigen/MatrixFunctions | 4 ++++ 1 file changed, 4 insertions(+) (limited to 'unsupported/Eigen/MatrixFunctions') diff --git a/unsupported/Eigen/MatrixFunctions b/unsupported/Eigen/MatrixFunctions index 41dfab390..ff466a519 100644 --- a/unsupported/Eigen/MatrixFunctions +++ b/unsupported/Eigen/MatrixFunctions @@ -262,6 +262,10 @@ where \f$ T_1 \f$ is invertible. Then \f$ T^p \f$ is given by 0 & 0 \end{array}. \right] \f] +\warning Fractional power of a matrix with a non-semisimple zero +eigenvalue is not well-defined. We introduce an assertion failure +against inaccurate result, e.g. \include MatrixPower_failure.cpp + Details of the algorithm can be found in: Nicholas J. Higham and Lijing Lin, "A Schur-Padé algorithm for fractional powers of a matrix," SIAM J. %Matrix Anal. Applic., -- cgit v1.2.3