Extended Thyra Operator/Vector Interfaces for Abstract Numerical Algorithms

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Outline

• Introduction
• Software
• Links

Introduction

This doxygen collection documents a set of interfaces that are derived from or extend the Fundamental Thyra ANA Operator/Vector Interfaces in simple ways, but yet are used to define interoperability between objects in many contexts.

Software

• Interfaces to product vector spaces, vectors and multi-vectors
  • Thyra::ProductVectorSpaceBase defines an interface for a composite product vector space composed from one or more constituent Thyra::VectorSpaceBase objects.
  • Thyra::ProductVectorBase defines an interface for a composite product vector composed from one or more constituent Thyra::VectorBase objects.
  • Thyra::ProductMultiVectorBase defines an interface for a composite product multi-vector composed from one or more constituent Thyra::MultiVectorBase objects.

• Composite and other linear operator base classes: Note that below, the term "implicit" denotes the fact that the operators are not actually formed. For example, the sum of the implicitly added linear operators is never calculated, but the action of these operators on a vector is computed correctly as the sum of the action of each individual operator on that vector.
  • Thyra::ScaledAdjointLinearOpBase is the base class for all decorator subclasses that implicitly scale and/or transpose a Thyra::LinearOpBase object.
  • Thyra::ZeroLinearOpBase defines the interface for a zero linear operator.
  • Thyra::IdentityLinearOpBase defines the interface for an identity linear operator .
  • Thyra::AddedLinearOpBase defines the interface for implicitly added linear operators.
  • Thyra::MultipliedLinearOpBase defines the interface for implicitly added linear operators.
  • Thyra::DiagonalLinearOpBase defines the interface for a basic diagonal linear operator.
  • Thyra::BlockedLinearOpBase is a base class for a logically blocked LinearOpBase.
  • Thyra::PhysicallyBlockedLinearOpBase is a base class for a physically blocked LinearOpBase object where the blocks can be set externally.

• MPI-Specific ANA-based interfaces

  Note: These interfaces are not strictly related to ANAs and therefore may not be appropriate to be placed in this collection. However, they are derived for the ANA interfaces and therefore, very weakly, belong in this collection of code.

  • Thyra::MPIVectorSpaceBase defines an interface for getting information about the partitioning of elements to processors in an SPMD program.

• Miscellaneous
  • Thyra::MultiVectorFileIOBase is an interface for strategy objects that can read and write (multi)vectors to and from files in a very abstract way.
  • Thyra::MultiVectorRandomizerBase is an interface for strategy objects that can produce random vectors and multi-vectors.
  • Teuchos::PolynomialTraits is a concrete traits class that is used in the Thyra::ModelEvaluator interface.

Links

• Fundamental Thyra ANA Operator/Vector Interfaces

• Operator/Vector Support Software and Examples

• Main Thyra Package Documentation Page

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