The Hull of Preconditioned Interval Linear Equations

The Hull of Preconditioned Interval Linear Equations In Ph.D. thesis (Computer Methods for Design Automation, MIT, 1992), C. Bliek gave a method for computing the exact hull of a system of interval linear equations which had been preconditioned using an approximate inverse of the center of the coefficient matrix. In this paper, we simplify both the theoretical procedure and its practical implementation. We give easily verified conditions for regularity of the preconditioned matrix. We describe classes of problems for which preconditioning leaves some or all boundaries of the hull unchanged. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reliable Computing Springer Journals

The Hull of Preconditioned Interval Linear Equations

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Publisher
Springer Journals
Copyright
Copyright © 2000 by Kluwer Academic Publishers
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.
10.1023/A:1009962903365
Publisher site
See Article on Publisher Site

Abstract

In Ph.D. thesis (Computer Methods for Design Automation, MIT, 1992), C. Bliek gave a method for computing the exact hull of a system of interval linear equations which had been preconditioned using an approximate inverse of the center of the coefficient matrix. In this paper, we simplify both the theoretical procedure and its practical implementation. We give easily verified conditions for regularity of the preconditioned matrix. We describe classes of problems for which preconditioning leaves some or all boundaries of the hull unchanged.

Journal

Reliable ComputingSpringer Journals

Published: Oct 7, 2004

References

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