slepc-main 2024-12-17

DSGNHEP

Dense Generalized Non-Hermitian Eigenvalue Problem.

Notes

The problem is expressed as A*X = B*X*Lambda, where (A,B) is the input matrix pencil. Lambda is a diagonal matrix whose diagonal elements are the arguments of DSSolve(). After solve, (A,B) is overwritten with the generalized (real) Schur form (S,T) = (Z'*A*Q,Z'*B*Q), with the first matrix being upper quasi-triangular and the second one triangular.

Used DS matrices

	DS_MAT_A	- first problem matrix
	DS_MAT_B	- second problem matrix
	DS_MAT_Q	- first orthogonal/unitary transformation that reduces to generalized (real) Schur form
	DS_MAT_Z	- second orthogonal/unitary transformation that reduces to generalized (real) Schur form

Implemented methods

	0	- QZ iteration (_gges)
	1	- blocked QZ iteration (_gges3, if available)

Level

beginner

Location