A survey of language-oriented systems for numerical linear algebra

Object-oriented Design in Numerical Linear Algebra

Straightforward application of object-oriented design to standard algorithms in numerical linear algebra improves clarity and expressiveness, without sacrificing speed or accuracy. ∗This research was supported by the Office of Naval Research under Young Investigator award N00014-86-K-0069, the Dept. of Energy under contract FG0685-ER2500.

A Survey of Componentwise Perturbation Theory in Numerical Linear Algebra

Perturbation bounds in numerical linear algebra are traditionally derived and expressed using norms. Norm bounds cannot reflect the scaling or sparsity of a problem and its perturbation, and so can be unduly weak. If the problem data and its perturbation are measured componentwise, much smaller and more revealing bounds can be obtained. A survey is given of componentwise perturbation theory in ...

Numerical Linear Algebra Techniques for Systems and Control Introduction and Survey of IEEE Reprints book

Numerical Linear Algebra for Signals Systems and Control

Numerical Linear Algebra With

SUMMARY StratiGraph, a Java-based tool for computation and presentation of closure hierarchies of Jordan and Kronecker structures is presented. The tool is based on recent theoretical results on stratiications of orbits and bundles of matrices and matrix pencils. A stratiication reveals the complete hierarchy of nearby structures, information critical for explaining the qualitative behavior of ...