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authorGravatar Chen-Pang He <jdh8@ms63.hinet.net>2013-07-21 01:00:36 +0800
committerGravatar Chen-Pang He <jdh8@ms63.hinet.net>2013-07-21 01:00:36 +0800
commit51573da3a4407288b900e8764e20de4fc09018d3 (patch)
treea5a2f49243092de4ae75a83d6ba5444041f3f290 /unsupported/Eigen/MatrixFunctions
parent1191949e8725106035d0f7276857217585a115ef (diff)
Warn about power of a matrix with non-semisimple 0 eigenvalue.
Diffstat (limited to 'unsupported/Eigen/MatrixFunctions')
-rw-r--r--unsupported/Eigen/MatrixFunctions4
1 files changed, 4 insertions, 0 deletions
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-Pad&eacute; algorithm for fractional powers of a
matrix," <em>SIAM J. %Matrix Anal. Applic.</em>,