PEPBasis#

The type of polynomial basis used to represent the polynomial eigenproblem.

Synopsis#

typedef enum { PEP_BASIS_MONOMIAL,
               PEP_BASIS_CHEBYSHEV1,
               PEP_BASIS_CHEBYSHEV2,
               PEP_BASIS_LEGENDRE,
               PEP_BASIS_LAGUERRE,
               PEP_BASIS_HERMITE } PEPBasis;

Values#

PEP_BASIS_MONOMIAL - monomial basis
PEP_BASIS_CHEBYSHEV1 - Chebyshev polynomials of the 1st kind
PEP_BASIS_CHEBYSHEV2 - Chebyshev polynomials of the 2nd kind
PEP_BASIS_LEGENDRE - Legendre polynomials
PEP_BASIS_LAGUERRE - Laguerre polynomials
PEP_BASIS_HERMITE - Hermite polynomials

Notes#

The default is to work with the monomial basis to represent the polynomial, i.e., \(1, x, x^2, \dots, x^d\). For large degree \(d\), numerical difficulties may arise. In that case, a different basis is recommended. The user is responsible for providing the coefficient matrices to PEPSetOperators() represented in the selected basis.

Level#

intermediate

Location#

include/slepcpep.h

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