PETScTAOSolver

class dolfin.cpp.la.PETScTAOSolver(*args)

Bases: dolfin.cpp.la.PETScObject

This class implements methods for solving nonlinear optimisation problems via PETSc TAO solver. It supports unconstrained as well as bound-constrained minimisation problem

Overloaded versions

• PETScTAOSolver(comm)

  Create TAO solver

• PETScTAOSolver(tao_type=”default”, ksp_type=”default”, pc_type=”default”)

  Create TAO solver for a particular method

static default_parameters()

Default parameter values

init()

Overloaded versions

• init(optimisation_problem, x, lb, ub)

  Initialise the TAO solver for a bound-constrained minimisation problem, in case the user wants to access the TAO object directly

• init(optimisation_problem, x)

  Initialise the TAO solver for an unconstrained minimisation problem, in case the user wants to access the TAO object directly

static methods()

Return a list of available solver methods

parameters

solve()

Overloaded versions

• solve(optimisation_problem, x, lb, ub)

  Solve a nonlinear bound-constrained optimisation problem

  Arguments

  optimisation_problem (OptimisationProblem)

  The nonlinear optimisation problem.

  x (GenericVector)

  The solution vector (initial guess).

  lb (GenericVector)

  The lower bound.

  ub (GenericVector)

  The upper bound.

  Returns

  (int, bool)

  Pair of number of iterations, and whether iteration converged

• solve(optimisation_problem, x)

  Solve a nonlinear unconstrained minimisation problem

  Arguments

  optimisation_problem (OptimisationProblem)

  The nonlinear optimisation problem.

  x (GenericVector)

  The solution vector (initial guess).

  Returns

  (int, bool)

  Pair of number of iterations, and whether iteration converged

• solve(optimisation_problem, x, lb, ub)

  Solve a nonlinear bound-constrained minimisation problem

  Arguments

  optimisation_problem (OptimisationProblem)

  The nonlinear optimisation problem.

  x (PETScVector)

  The solution vector (initial guess).

  lb (PETScVector)

  The lower bound.

  ub (PETScVector)

  The upper bound.

  Returns

  (int, bool)

  Pair of number of iterations, and whether iteration converged

tao()

Return petsc4py representation of PETSc TAO solver

thisown

The membership flag