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Write doc for complex power of a matrix.

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Chen-Pang He 2013-07-10 02:43:10 +08:00
parent 25544dbec3
commit 159a3bed9e
1 changed files with 5 additions and 4 deletions
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unsupported/Eigen/MatrixFunctions
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@ -228,15 +228,16 @@ const MatrixPowerReturnValue<Derived> MatrixBase<Derived>::pow(RealScalar p) con
\endcode
\param[in] M base of the matrix power, should be a square matrix.
\param[in] p exponent of the matrix power, should be real.
\param[in] p exponent of the matrix power.
The matrix power \f$ M^p \f$ is defined as \f$ \exp(p \log(M)) \f$,
where exp denotes the matrix exponential, and log denotes the matrix
logarithm.
The matrix \f$ M \f$ should meet the conditions to be an argument of
matrix logarithm. If \p p is not of the real scalar type of \p M, it
is casted into the real scalar type of \p M.
If \p p is complex, the scalar type of \p M should be the type of \p
p . \f$ M^p \f$ simply evaluates into \f$ \exp(p \log(M)) \f$.
Therefore, the matrix \f$ M \f$ should meet the conditions to be an
argument of matrix logarithm.
This function computes the matrix power using the Schur-Pad&eacute;
algorithm as implemented by class MatrixPower. The exponent is split