lahqz_eig22.hpp File Reference

#include "tlapack/base/utils.hpp"
#include "tlapack/lapack/lahqr_eig22.hpp"

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Functions
template<TLAPACK_MATRIX A_t, TLAPACK_MATRIX B_t, TLAPACK_SCALAR T>
void	tlapack::lahqz_eig22 (const A_t &A, const B_t &B, complex_type< T > &alpha1, complex_type< T > &alpha2, T &beta1, T &beta2)
	Computes the generalized eigenvalues of a 2x2 pencil (A,B) with B upper triangular.

Detailed Description

Author

Thijs Steel, KU Leuven, Belgium

Function Documentation

lahqz_eig22()

template<TLAPACK_MATRIX A_t, TLAPACK_MATRIX B_t, TLAPACK_SCALAR T>

void tlapack::lahqz_eig22	(	const A_t &	A,
		const B_t &	B,
		complex_type< T > &	alpha1,
		complex_type< T > &	alpha2,
		T &	beta1,
		T &	beta2
	)

Computes the generalized eigenvalues of a 2x2 pencil (A,B) with B upper triangular.

Note: in LAPACK, this function is quite complicated, taking a lot of overflow conditions into account. I still need to translate that functionality.

Parameters

[in]	A	2x2 matrix
[in]	B	2x2 upper triangular matrix
[out]	alpha1	complex number
[out]	alpha2	complex number
[out]	beta1	number
[out]	beta2	number On exit, (alpha1, beta1), (alpha2, beta2) are the generalized eigenvalues of the pencil (A,B)