Warn about power of a matrix with non-semisimple 0 eigenvalue.

This commit is contained in:
Chen-Pang He
2013-07-21 01:00:36 +08:00
parent 1191949e87
commit 51573da3a4
2 changed files with 24 additions and 0 deletions

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@@ -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," <em>SIAM J. %Matrix Anal. Applic.</em>,