MatrixFunction< MatrixType, AtomicType, IsComplex > Class Template Reference

Detailed Description

template<typename MatrixType, typename AtomicType, int IsComplex = NumTraits<typename internal::traits<MatrixType>::Scalar>::IsComplex>
class Eigen::MatrixFunction< MatrixType, AtomicType, IsComplex >

Class for computing matrix functions.

Template Parameters

MatrixType	type of the argument of the matrix function, expected to be an instantiation of the Matrix class template.
AtomicType	type for computing matrix function of atomic blocks.
IsComplex	used internally to select correct specialization.

This class implements the Schur-Parlett algorithm for computing matrix functions. The spectrum of the matrix is divided in clustered of eigenvalues that lies close together. This class delegates the computation of the matrix function on every block corresponding to these clusters to an object of type AtomicType and uses these results to compute the matrix function of the whole matrix. The class AtomicType should have a compute() member function for computing the matrix function of a block.

See Also

class MatrixFunctionAtomic, class MatrixLogarithmAtomic

Public Member Functions
template<typename ResultType >
void	compute (ResultType &result)
	Compute the matrix function. More...
	MatrixFunction (const MatrixType &A, AtomicType &atomic)
	Constructor. More...

Constructor & Destructor Documentation

MatrixFunction	(	const MatrixType &	A,
		AtomicType &	atomic
	)

Constructor.

Parameters

[in]	A	argument of matrix function, should be a square matrix.
[in]	atomic	class for computing matrix function of atomic blocks.

The class stores references to A and atomic, so they should not be changed (or destroyed) before compute() is called.

Member Function Documentation

void compute

(

ResultType &

result

)

Compute the matrix function.

Parameters

[out]

result

the function f applied to A, as specified in the constructor.

See MatrixBase::matrixFunction() for details on how this computation is implemented.

Referenced by MatrixLogarithmReturnValue< Derived >::evalTo().

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The documentation for this class was generated from the following file:

• MatrixFunction.h