LightKrylov_AbstractSystems Module

This module provides the abstract types necessary to define an algebraic system of nonlinear equations to be solved using the Newton method.


Uses


Derived Types

type, public, abstract, extends(abstract_linop_cdp) ::  abstract_jacobian_linop_cdp

Abstract type for the local linearization of the system around the state X

Components

Type Visibility Attributes Name Initial
class(abstract_vector_cdp), public, allocatable :: X

System state around which the equatons are linearized.

Type-Bound Procedures

procedure(abstract_matvec_cdp), public, deferred, pass(self) :: matvec ../../

Procedure to compute the matrix-vector product .
procedure(abstract_matvec_cdp), public, deferred, pass(self) :: rmatvec ../../

Procedure to compute the reversed matrix-vector product .

type, public, abstract, extends(abstract_linop_csp) ::  abstract_jacobian_linop_csp

Abstract type for the local linearization of the system around the state X

Components

Type Visibility Attributes Name Initial
class(abstract_vector_csp), public, allocatable :: X

System state around which the equatons are linearized.

Type-Bound Procedures

procedure(abstract_matvec_csp), public, deferred, pass(self) :: matvec ../../

Procedure to compute the matrix-vector product .
procedure(abstract_matvec_csp), public, deferred, pass(self) :: rmatvec ../../

Procedure to compute the reversed matrix-vector product .

type, public, abstract, extends(abstract_linop_rdp) ::  abstract_jacobian_linop_rdp

Abstract type for the local linearization of the system around the state X

Components

Type Visibility Attributes Name Initial
class(abstract_vector_rdp), public, allocatable :: X

System state around which the equatons are linearized.

Type-Bound Procedures

procedure(abstract_matvec_rdp), public, deferred, pass(self) :: matvec ../../

Procedure to compute the matrix-vector product .
procedure(abstract_matvec_rdp), public, deferred, pass(self) :: rmatvec ../../

Procedure to compute the reversed matrix-vector product .

type, public, abstract, extends(abstract_linop_rsp) ::  abstract_jacobian_linop_rsp

Abstract type for the local linearization of the system around the state X

Components

Type Visibility Attributes Name Initial
class(abstract_vector_rsp), public, allocatable :: X

System state around which the equatons are linearized.

Type-Bound Procedures

procedure(abstract_matvec_rsp), public, deferred, pass(self) :: matvec ../../

Procedure to compute the matrix-vector product .
procedure(abstract_matvec_rsp), public, deferred, pass(self) :: rmatvec ../../

Procedure to compute the reversed matrix-vector product .

type, public, abstract ::  abstract_system

type, public, abstract, extends(abstract_system) ::  abstract_system_cdp

System for Newton fixed-point iteration via the Jacobian

Components

Type Visibility Attributes Name Initial
class(abstract_jacobian_linop_cdp), public, allocatable :: jacobian

System Jacobian .

Type-Bound Procedures

procedure(abstract_eval_cdp), public, deferred, pass(self) :: eval ../../

Procedure to evaluate the system response .

type, public, abstract, extends(abstract_system) ::  abstract_system_csp

System for Newton fixed-point iteration via the Jacobian

Components

Type Visibility Attributes Name Initial
class(abstract_jacobian_linop_csp), public, allocatable :: jacobian

System Jacobian .

Type-Bound Procedures

procedure(abstract_eval_csp), public, deferred, pass(self) :: eval ../../

Procedure to evaluate the system response .

type, public, abstract, extends(abstract_system) ::  abstract_system_rdp

System for Newton fixed-point iteration via the Jacobian

Components

Type Visibility Attributes Name Initial
class(abstract_jacobian_linop_rdp), public, allocatable :: jacobian

System Jacobian .

Type-Bound Procedures

procedure(abstract_eval_rdp), public, deferred, pass(self) :: eval ../../

Procedure to evaluate the system response .

type, public, abstract, extends(abstract_system) ::  abstract_system_rsp

System for Newton fixed-point iteration via the Jacobian

Components

Type Visibility Attributes Name Initial
class(abstract_jacobian_linop_rsp), public, allocatable :: jacobian

System Jacobian .

Type-Bound Procedures

procedure(abstract_eval_rsp), public, deferred, pass(self) :: eval ../../

Procedure to evaluate the system response .