Thyra Operator/Vector Interfaces as an Interoperability Layer for Abstract Numerical Algorithms (ANAs)
[Use Cases for the Foundational Thyra Operator/Vector Interfaces]

As stated in the introduction, the primary purpose of Thyra is to define a set of basic and minimal abstract interfaces to support the interoperability of abstract numerical algorithms (ANAs). More...

Modules
group	C++ code for foundational Thyra operator/vector interfaces
	These are the Foundational Thyra Operator/Vector Interfaces that provide the foundation for all ANAs.
group	Extended Operator/Vector interfaces

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Detailed Description

As stated in the introduction, the primary purpose of Thyra is to define a set of basic and minimal abstract interfaces to support the interoperability of abstract numerical algorithms (ANAs).

Below, the interoperability interfaces are divided into fundamental and extended categories. The fundamental operator/vector interfaces are the foundation for all other interfaces and software described in this doxygen collection. The extended operator/vector interfaces define new types of functionality.

Fundamental Interfaces

Fundamental vector and linear operator interfaces (Note: above graphic is not hyper-linked!)

The above UML class diagram is a more detailed version of the UML class diagram shown in the introduction for the foundational operator/vector interface classes. The fundamental interface classes shown in the above UML class diagram are described below:

• Thyra::VectorSpaceFactoryBase is basic factory interface for creating Thyra::VectorSpaceBase objects given a dimension.
• Thyra::VectorSpaceBase is the fundamental abstract interface for a vector space that defines the scalar product and factory functions for creating Thyra::VectorBase and Thyra::MultiVectorBase objects.
• Thyra::VectorBase is the fundamental abstract interface for finite-dimensional vectors.
• Thyra::LinearOpBase is the fundamental abstract interface for linear operators.
• Thyra::MultiVectorBase is the fundamental abstract interface for collections of column vectors.

These interface classes rely on a few basic types and basic exception classes.

One important paper describing the RTOp approach which provides the foundation for RTOpPack::RTOpT can be found in this paper. Note that RTOpPack::RTOpT is a refinement of the C and C++ RTOp interfaces described in the aforementioned paper.

Extended Interfaces

The Thyra package also contains a set of extended interfaces that build on the above fundamental operator/vector interfaces that play a role in extended levels of interoperability.

Other Use Cases

• Development of Concrete Thyra Operator/Vector Subclass Implementations

• Thyra Operator/Vector Interfaces as an API for the Development of Abstract Numerical Algorithms (ANAs)

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