slepc-3.22.1 2024-10-28
DSNHEP
Dense Non-Hermitian Eigenvalue Problem.
Notes
The problem is expressed as A*X = X*Lambda, where A is the input matrix.
Lambda is a diagonal matrix whose diagonal elements are the arguments of
DSSolve(). After solve, A is overwritten with the upper quasi-triangular
matrix T of the (real) Schur form, A*Q = Q*T.
In the intermediate state A is reduced to upper Hessenberg form.
Computation of left eigenvectors is supported, but two-sided Krylov solvers
usually rely on the related DSNHEPTS.
Used DS matrices
| DS_MAT_A | - problem matrix
|
| DS_MAT_Q | - orthogonal/unitary transformation that reduces to Hessenberg form
(intermediate step) or matrix of orthogonal Schur vectors
|
Implemented methods
See Also
DSCreate(), DSSetType(), DSType
Level
beginner
Location
src/sys/classes/ds/impls/nhep/dsnhep.c
Index of all DS routines
Table of Contents for all manual pages
Index of all manual pages