DSGNHEP#

Dense Generalized Non-Hermitian Eigenvalue Problem.

Notes#

The problem is expressed as AX = BX*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’AQ,Z’BQ), 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)

See Also#

DSCreate(), DSSetType(), DSType

Level#

beginner

Location#

src/sys/classes/ds/impls/gnhep/dsgnhep.c

Index of all DS routines Table of Contents for all manual pages Index of all manual pages