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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_X  - eigenvectors
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

See Also

DSCreate(), DSSetType(), DSType, DSNEPSetFN(), DSNEPSetComputeMatrixFunction()

Level

beginner

Location

src/sys/classes/ds/impls/nep/dsnep.c

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