NEPApplyJacobian#

Applies the nonlinear Jacobian \(T'(\lambda)\) to a given vector.

Synopsis#

#include "slepcnep.h" 
PetscErrorCode NEPApplyJacobian(NEP nep,PetscScalar lambda,Vec x,Vec v,Vec y,Mat A)

Collective

Input Parameters#

  • nep - the nonlinear eigensolver context

  • lambda - scalar argument

  • x - vector to be multiplied against

  • v - workspace vector (used only in the case of split form)

Output Parameters#

  • y - result vector

  • A - (optional) Jacobian matrix, for callback interface only

Note#

If the nonlinear operator is represented in split form, the result \(y = T'(\lambda)x\) is computed without building \(T'(\lambda)\) explicitly. In that case, parameter A is not used. Otherwise, the matrix \(T'(\lambda)\) is built and the effect is the same as a call to NEPComputeJacobian() followed by a MatMult().

See Also#

NEP: Nonlinear Eigenvalue Problems, NEPSetSplitOperator(), NEPComputeJacobian()

Level#

developer

Location#

src/nep/interface/nepsolve.c

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