A Right-Preconditioning Process for the Formal–Algebraic Approach to Inner and Outer Estimation of AE-Solution Sets

A Right-Preconditioning Process for the Formal–Algebraic Approach to Inner and Outer Estimation... Aright-preconditioning process for linear interval systems has been presented by Neumaier in 1987. It allows the construction of an outer estimate of the united solution set of a square linear interval system in the form of a parallelepiped. The denomination “right-preconditioning” is used to describe the preconditioning processes which involve the matrix product A C in contrast to the (usual) left-preconditioning processes which involve the matrix product A C, where A and C are respectively the interval matrix of the studied linear interval system and the preconditioning matrix. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reliable Computing Springer Journals

A Right-Preconditioning Process for the Formal–Algebraic Approach to Inner and Outer Estimation of AE-Solution Sets

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Publisher
Springer Journals
Copyright
Copyright © 2005 by Springer Science + Business Media, Inc.
Subject
Mathematics; Numeric Computing; Approximations and Expansions; Computational Mathematics and Numerical Analysis; Mathematical Modeling and Industrial Mathematics
ISSN
1385-3139
eISSN
1573-1340
D.O.I.
10.1007/s11155-005-0404-x
Publisher site
See Article on Publisher Site

Abstract

Aright-preconditioning process for linear interval systems has been presented by Neumaier in 1987. It allows the construction of an outer estimate of the united solution set of a square linear interval system in the form of a parallelepiped. The denomination “right-preconditioning” is used to describe the preconditioning processes which involve the matrix product A C in contrast to the (usual) left-preconditioning processes which involve the matrix product A C, where A and C are respectively the interval matrix of the studied linear interval system and the preconditioning matrix.

Journal

Reliable ComputingSpringer Journals

Published: Jan 1, 2005

References

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