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A Computational Environment for Interval Matrices in C++

By Michael Nooner and Chenyi Hu

Abstract

Abstract. It is often required to manipulate interval matrices in reliable scientific computing. A portable computational environment for basic interval linear algebra subroutines (interval BLAS) is needed. We report such a environment recently developed based on the interval BLAS standard included in (Blackford and et al, 2001) and (Dongarra, J. et al, 2002). The computational environment is object-oriented in ISO/ANSI standard C++. It consists of arithmetic, fundamental and utility functions, and set operations among intervals, interval vectors, and interval matrices. These operations are implemented as member functions of three classes: Interval, IntervalVector, and IntervalMatrix. This package is portable and robust with built-in error handling features. Instructions on package installation, testing, and usages are included. A sample application program is attached as an appendix

Topics: Interval arithmetic, Interval BLAS, C
Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.2323
Provided by: CiteSeerX
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