Fundamental Thyra Operator/Vector Interfaces for Abstract Numerical Algorithms

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Outline

• Introduction
• Software
• Links

Introduction

This minimal set of basic operator/vector interfaces described here forms the foundation for all of the interoperability interfaces related to Abstract Numerical Algorithms (ANAs) provided in the Thyra package.

Software

Fundamental Thyra ANA Operator/Vector interfaces (Note: above graphic is not hyper-linked!)

The fundamental interface classes shown in the above UML class diagram are described below:

• Thyra::VectorSpaceFactoryBase is the 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.

Links

• Operator/Vector Support Software and Examples

• Main Thyra Package Documentation Page

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