Derived Types

Utility type to define the exponential propagator $\mathbf{\Phi}_\tau$ which is the linear map corresponding to the matrix exponential of the (possibly time-dependent) system Jacobian $\mathbf{L}(t)$ over a time horizon $\tau$ as: $$\mathbf{\Phi}_\tau = \int_0^\tau \mathbf{L}(t) \: \text{d}t$$ Note that explicit knowledge or definition of the Jacobian is NOT required. This utility function is intended for the use in conjuction with a time-stepper algorithm that computes the integral directly.

Utility type to define the exponential propagator $\mathbf{\Phi}_\tau$ which is the linear map corresponding to the matrix exponential of the (possibly time-dependent) system Jacobian $\mathbf{L}(t)$ over a time horizon $\tau$ as: $$\mathbf{\Phi}_\tau = \int_0^\tau \mathbf{L}(t) \: \text{d}t$$ Note that explicit knowledge or definition of the Jacobian is NOT required. This utility function is intended for the use in conjuction with a time-stepper algorithm that computes the integral directly.

Utility type to define the exponential propagator $\mathbf{\Phi}_\tau$ which is the linear map corresponding to the matrix exponential of the (possibly time-dependent) system Jacobian $\mathbf{L}(t)$ over a time horizon $\tau$ as: $$\mathbf{\Phi}_\tau = \int_0^\tau \mathbf{L}(t) \: \text{d}t$$ Note that explicit knowledge or definition of the Jacobian is NOT required. This utility function is intended for the use in conjuction with a time-stepper algorithm that computes the integral directly.

Utility type to define the exponential propagator $\mathbf{\Phi}_\tau$ which is the linear map corresponding to the matrix exponential of the (possibly time-dependent) system Jacobian $\mathbf{L}(t)$ over a time horizon $\tau$ as: $$\mathbf{\Phi}_\tau = \int_0^\tau \mathbf{L}(t) \: \text{d}t$$ Note that explicit knowledge or definition of the Jacobian is NOT required. This utility function is intended for the use in conjuction with a time-stepper algorithm that computes the integral directly.

Abstract representation of an abstract hermitian (complex-valued) linear operator.

Abstract representation of an abstract hermitian (complex-valued) linear operator.

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

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

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

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

Base type to define an abstract linear operator. All other types defined in LightKrylov derive from this fundamental one.

Base type to extend in order to define a complex(dp)-valued linear operator.

Base type to extend in order to define a complex(sp)-valued linear operator.

Base type to extend in order to define a real(dp)-valued linear operator.

Base type to extend in order to define a real(sp)-valued linear operator.

Abstract type for solver metadata from which all others are extended.

Abstract type for options from which all others are extended.

Abstract representation of an abstract symmetric (real valued) linear operator.

Abstract representation of an abstract symmetric (real valued) linear operator.

System for Newton fixed-point iteration via the Jacobian

System for Newton fixed-point iteration via the Jacobian

System for Newton fixed-point iteration via the Jacobian

System for Newton fixed-point iteration via the Jacobian

Base abstract type from which all other types of vectors used in LightKrylov are being derived from.

Abstract type to define complex(dp)-valued vectors. Derived-types defined by the user should be extending one such class.

Abstract type to define complex(sp)-valued vectors. Derived-types defined by the user should be extending one such class.

Abstract type to define real(dp)-valued vectors. Derived-types defined by the user should be extending one such class.

Abstract type to define real(sp)-valued vectors. Derived-types defined by the user should be extending one such class.

Base type to define a global timer. All watches within LightKrylov and associated tools are derived from this type.

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.

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.

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.

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.

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.

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.

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.

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.

Conjugate gradient metadata.

Conjugate gradient options.

Conjugate gradient metadata.

Conjugate gradient options.

FGMRES metadata.

FGMRES options.

FGMRES metadata.

FGMRES options.

GMRES metadata.

GMRES options.

GMRES metadata.

GMRES options.

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.

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.

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.

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.

Individual timer. Atomic timer that is associated to a particular 'event' by name which may be a procedure or a user-defined string at instantiation.

Simple type to allow for some structure in the timer output.

Global timing structure to contain all timers within Lightkrylov

Metadata for Newton-Krylov fixed-point iteration.

Options for Newton-Krylov fixed-point iteration.

Metadata for Newton-Krylov fixed-point iteration.

Options for Newton-Krylov fixed-point iteration.

Defines a scaled linear operator $\mathbf{B} = \sigma \mathbf{A}$ with $\mathbf{A}$ a complex(dp)-valued operator and $\sigma \in \mathbb{R}\ ) or \( \mathbb{C}$.

Defines a scaled linear operator $\mathbf{B} = \sigma \mathbf{A}$ with $\mathbf{A}$ a complex(sp)-valued operator and $\sigma \in \mathbb{R}\ ) or \( \mathbb{C}$.

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.

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.