On Shary's algebraic approach for linear interval equations

SIAM Journal on Matrix Analysis and Applications

Volumn 21, Issue 4, 2000, Pages 1156-1162

  Neumaier, Arnold ^a  

^a UNIVERSITY OF VIENNA   (Austria)

Author keywords

Finite termination; Fixed point inverse; H matrix; Inner subtraction; Linear interval equation

Indexed keywords

EID: 0034144753     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479898347472     Document Type: Article

References (7)

1. W. BARTH AND E. NUDING, Optimale Lösung von Intervallgleichungssystemen, Computing, 12 (1974), pp. 117-125.
2. E. HANSEN, Bounding the solution of interval linear equations, SIAM J. Numer. Anal., 29 (1992), pp. 1493-1503.
3. A. NEUMAIER, Interval Methods for Systems of Equations, Cambridge University Press, Cambridge, UK, 1990.
4. S. NING AND R.B. KEARFOTT, A comparison of some methods for solving linear interval equations, SIAM J. Numer. Anal., 34 (1997), pp. 1289-1305.
5. J. ROHN, Cheap and tight bounds: The recent result by E. Hansen can be made more efficient, Interval Comput., 4 (1993), pp. 13-21.
6. S.P. SHARY, Algebraic approach in the "outer problem" for interval linear equations, Reliab. Comput., 3 (1997), pp. 103-135.
7. S.P. SHARY, Algebraic approach to the interval linear static identification, tolerance, and control problems, or one more application of Kaucher arithmetic, Reliab. Comput. 2 (1996), pp. 3-33.