The Hull of Preconditioned Interval Linear Equations

Reliable Computing

Volumn 6, Issue 2, 2000, Pages 95-103

  Hansen, Eldon R ^a  

^a NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011805146     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009962903365     Document Type: Article

References (12)

1. Bliek, C.: Computer Methods for Design Automation, Ph.D. thesis, Dept. of Ocean Engineering, Massachusetts Institute of Technology, 1992.
2. Hansen, E. R.: Bounding the Solution of Interval Linear Equations, SIAM J. Numer. Anal. 29 (1992), pp. 1493-1503.
3. Hansen, E. R.: Global Optimization Using Interval Analysis, Marcel Dekker, Inc., New York, 1992.
4. Hansen, E. R. and Smith, R. R.: Interval Arithmetic in Matrix Computations, Part 2, SIAM J. Numer. Anal. 4 (1967), pp. 1-9.
5. Kearfott, R. B.: Rigorous Global Search: Continuous Problems, Kluwer Academic Publ., Dordrecht, 1996.
6. Mayer, G. and Rohn, J.: On the Applicability of the Interval Gaussian Algorithm, Reliable Computing 4 (3) (1998), pp. 205-222.
7. Neumaier, A.: A Simple Derivation of the Hansen-Bliek-Rohn-Ning-Kearfott Enclosure for Linear Interval Equations, Reliable Computing 5 (2) (1999), pp. 131-136.
8. Neumaier, A.: Inteval Methods for Systems of Equations, Cambridge University Press, Cambridge, 1990.
9. Ning, S. and Kearfott, R. B.: A Comparison of Some Methods for Solving Linear Interval Equations, SIAM J. Numer. Anal. 34 (1997), pp. 1289-1305.
10. Rohn, J.: Cheap and Tight Bounds: The Recent Result by E. Hansen Can Be Made More Efficient, Interval Computations 4 (1993), pp. 13-21.
11. Rohn, J.: On Overestimations Produced by the Interval Gaussian Algorithm, Reliable Computing 3 (4) (1997), pp. 363-368.
12. Rohn, J.: Systems of Linear Interval Equations, Lin. Alg. Applies. 126 (1989), pp. 39-78.