Derived Types

Type	Location	Extends	Description
abstract_hermitian_linop_cdp	LightKrylov_AbstractLinops	abstract_linop_cdp	Abstract representation of an abstract hermitian (complex-valued) linear operator.
abstract_hermitian_linop_csp	LightKrylov_AbstractLinops	abstract_linop_csp	Abstract representation of an abstract hermitian (complex-valued) linear operator.
abstract_jacobian_linop_cdp	LightKrylov_AbstractSystems	abstract_linop_cdp	Abstract type for the local linearization of the system around the state X
abstract_jacobian_linop_csp	LightKrylov_AbstractSystems	abstract_linop_csp	Abstract type for the local linearization of the system around the state X
abstract_jacobian_linop_rdp	LightKrylov_AbstractSystems	abstract_linop_rdp	Abstract type for the local linearization of the system around the state X
abstract_jacobian_linop_rsp	LightKrylov_AbstractSystems	abstract_linop_rsp	Abstract type for the local linearization of the system around the state X
abstract_linop	LightKrylov_AbstractLinops	None	Base type to define an abstract linear operator. All other types defined in `LightKrylov` derive from this fundamental one. Read more…
abstract_linop_cdp	LightKrylov_AbstractLinops	abstract_linop	Base type to extend in order to define a complex(dp)-valued linear operator.
abstract_linop_csp	LightKrylov_AbstractLinops	abstract_linop	Base type to extend in order to define a complex(sp)-valued linear operator.
abstract_linop_rdp	LightKrylov_AbstractLinops	abstract_linop	Base type to extend in order to define a real(dp)-valued linear operator.
abstract_linop_rsp	LightKrylov_AbstractLinops	abstract_linop	Base type to extend in order to define a real(sp)-valued linear operator.
abstract_opts	LightKrylov_utils	None	Abstract type container for options from which all others are being extended.
abstract_precond_cdp	LightKrylov_IterativeSolvers	None
abstract_precond_csp	LightKrylov_IterativeSolvers	None
abstract_precond_rdp	LightKrylov_IterativeSolvers	None
abstract_precond_rsp	LightKrylov_IterativeSolvers	None
abstract_sym_linop_rdp	LightKrylov_AbstractLinops	abstract_linop_rdp	Abstract representation of an abstract symmetric (real valued) linear operator.
abstract_sym_linop_rsp	LightKrylov_AbstractLinops	abstract_linop_rsp	Abstract representation of an abstract symmetric (real valued) linear operator.
abstract_system	LightKrylov_AbstractSystems	None
abstract_system_cdp	LightKrylov_AbstractSystems	abstract_system	System for Newton fixed-point iteration via the Jacobian
abstract_system_csp	LightKrylov_AbstractSystems	abstract_system	System for Newton fixed-point iteration via the Jacobian
abstract_system_rdp	LightKrylov_AbstractSystems	abstract_system	System for Newton fixed-point iteration via the Jacobian
abstract_system_rsp	LightKrylov_AbstractSystems	abstract_system	System for Newton fixed-point iteration via the Jacobian
abstract_vector	LightKrylov_AbstractVectors	None	Base abstract type from which all other types of vectors used in `LightKrylov` are being derived from. Read more…
abstract_vector_cdp	LightKrylov_AbstractVectors	abstract_vector	Abstract type to define complex(dp)-valued vectors. Derived-types defined by the user should be extending one such class.
abstract_vector_csp	LightKrylov_AbstractVectors	abstract_vector	Abstract type to define complex(sp)-valued vectors. Derived-types defined by the user should be extending one such class.
abstract_vector_rdp	LightKrylov_AbstractVectors	abstract_vector	Abstract type to define real(dp)-valued vectors. Derived-types defined by the user should be extending one such class.
abstract_vector_rsp	LightKrylov_AbstractVectors	abstract_vector	Abstract type to define real(sp)-valued vectors. Derived-types defined by the user should be extending one such class.
adjoint_linop_cdp	LightKrylov_AbstractLinops	abstract_linop_cdp	Utility type to define an adjoint linear operator. The definition of `matvec` and `rmatvec` are directly inherited from those used to define `A`. Note that this utility does not compute the adjoint for you. It simply provides a utility to define a new operator with `matvec` and `rmatvec` being switched.
adjoint_linop_csp	LightKrylov_AbstractLinops	abstract_linop_csp	Utility type to define an adjoint linear operator. The definition of `matvec` and `rmatvec` are directly inherited from those used to define `A`. Note that this utility does not compute the adjoint for you. It simply provides a utility to define a new operator with `matvec` and `rmatvec` being switched.
adjoint_linop_rdp	LightKrylov_AbstractLinops	abstract_linop_rdp	Utility type to define an adjoint linear operator. The definition of `matvec` and `rmatvec` are directly inherited from those used to define `A`. Note that this utility does not compute the adjoint for you. It simply provides a utility to define a new operator with `matvec` and `rmatvec` being switched.
adjoint_linop_rsp	LightKrylov_AbstractLinops	abstract_linop_rsp	Utility type to define an adjoint linear operator. The definition of `matvec` and `rmatvec` are directly inherited from those used to define `A`. Note that this utility does not compute the adjoint for you. It simply provides a utility to define a new operator with `matvec` and `rmatvec` being switched.
axpby_linop_cdp	LightKrylov_AbstractLinops	abstract_linop_cdp	Utility type to define a composite linear operator $\mathbf{C} = \alpha \mathbf{A} + \beta \mathbf{B}$ . The definitions of `matvec` and `rmatvec` are directly inherited from those used to define `A` and `B`.
axpby_linop_csp	LightKrylov_AbstractLinops	abstract_linop_csp	Utility type to define a composite linear operator $\mathbf{C} = \alpha \mathbf{A} + \beta \mathbf{B}$ . The definitions of `matvec` and `rmatvec` are directly inherited from those used to define `A` and `B`.
axpby_linop_rdp	LightKrylov_AbstractLinops	abstract_linop_rdp	Utility type to define a composite linear operator $\mathbf{C} = \alpha \mathbf{A} + \beta \mathbf{B}$ . The definitions of `matvec` and `rmatvec` are directly inherited from those used to define `A` and `B`.
axpby_linop_rsp	LightKrylov_AbstractLinops	abstract_linop_rsp	Utility type to define a composite linear operator $\mathbf{C} = \alpha \mathbf{A} + \beta \mathbf{B}$ . The definitions of `matvec` and `rmatvec` are directly inherited from those used to define `A` and `B`.
cg_dp_opts	LightKrylov_utils	abstract_opts	Conjugate gradient options.
cg_sp_opts	LightKrylov_utils	abstract_opts	Conjugate gradient options.
gmres_dp_opts	LightKrylov_utils	abstract_opts	GMRES options.
gmres_sp_opts	LightKrylov_utils	abstract_opts	GMRES options.
Id_cdp	LightKrylov_AbstractLinops	abstract_linop_cdp	Utility type to define the Identity operator. Note that the type-bound procedures for `matvec` and `rmatvec` do not have to be defined by the user.
Id_csp	LightKrylov_AbstractLinops	abstract_linop_csp	Utility type to define the Identity operator. Note that the type-bound procedures for `matvec` and `rmatvec` do not have to be defined by the user.
Id_rdp	LightKrylov_AbstractLinops	abstract_linop_rdp	Utility type to define the Identity operator. Note that the type-bound procedures for `matvec` and `rmatvec` do not have to be defined by the user.
Id_rsp	LightKrylov_AbstractLinops	abstract_linop_rsp	Utility type to define the Identity operator. Note that the type-bound procedures for `matvec` and `rmatvec` do not have to be defined by the user.
newton_dp_opts	LightKrylov_utils	abstract_opts	Options for Newton-Krylov fixed-point iteration.
newton_sp_opts	LightKrylov_utils	abstract_opts	Options for Newton-Krylov fixed-point iteration.
scaled_linop_cdp	LightKrylov_AbstractLinops	abstract_linop_cdp	Defines a scaled linear operator $\mathbf{B} = \sigma \mathbf{A}$ with $\mathbf{A}$ a complex-valued operator and $\sigma \in \mathbb{C}$ .
scaled_linop_csp	LightKrylov_AbstractLinops	abstract_linop_csp	Defines a scaled linear operator $\mathbf{B} = \sigma \mathbf{A}$ with $\mathbf{A}$ a complex-valued operator and $\sigma \in \mathbb{C}$ .
scaled_linop_rdp	LightKrylov_AbstractLinops	abstract_linop_rdp	Defines a scaled linear operator $\mathbf{B} = \sigma \mathbf{A}$ with $\mathbf{A}$ a real-valued operator and $\sigma \in \mathbb{R}$ . The definitions of `matvec` and `rmatvec` are directly inherited from those used to define `A` and do not have to be defined by the user.
scaled_linop_rsp	LightKrylov_AbstractLinops	abstract_linop_rsp	Defines a scaled linear operator $\mathbf{B} = \sigma \mathbf{A}$ with $\mathbf{A}$ a real-valued operator and $\sigma \in \mathbb{R}$ . The definitions of `matvec` and `rmatvec` are directly inherited from those used to define `A` and do not have to be defined by the user.