slepc-3.21.1 2024-04-26

DSNEP

Dense Nonlinear Eigenvalue Problem.

Notes

The problem is expressed as T(lambda)*x = 0, where T(lambda) is a parameter-dependent matrix written as T(lambda) = sum_i E_i*f_i(lambda). The eigenvalues lambda are the arguments returned by DSSolve()..

The coefficient matrices E_i are the extra matrices of the DS, and the scalar functions f_i are passed via DSNEPSetFN(). Optionally, a callback function to fill the E_i matrices can be set with DSNEPSetComputeMatrixFunction().

Used DS matrices

	DS_MAT_Ex	- coefficient matrices of the split form of T(lambda)
	DS_MAT_A	- (workspace) T(lambda) evaluated at a given lambda (SLP only)
	DS_MAT_B	- (workspace) T'(lambda) evaluated at a given lambda (SLP only)
	DS_MAT_Q	- (workspace) left Hankel matrix (contour only)
	DS_MAT_Z	- (workspace) right Hankel matrix (contour only)
	DS_MAT_U	- (workspace) left singular vectors (contour only)
	DS_MAT_V	- (workspace) right singular vectors (contour only)
	DS_MAT_W	- (workspace) auxiliary matrix of size nxn

Implemented methods

	0	- Successive Linear Problems (SLP), computes just one eigenpair
	1	- Contour integral, computes all eigenvalues inside a region

Level

beginner

Location