Controllable solution set to interval static systems

Applied Mathematics and Computation

Volumn 86, Issue 2-3, 1997, Pages 185-196

  Shary, Sergey P ^a  

^a INSTITUTE OF COMPUTATIONAL TECHNOLOGIES   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009446012     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(96)00181-6     Document Type: Article

References (11)

1. G. Alefeld and J. Herzberger, Introduction to Interval Computations, Academic Press, New York, 1983.
2. A. Neumaier, Interval Methods for Systems of Equations, Cambridge University Press, Cambridge, 1990.
3. J. Rohn, Systems of linear interval equations. Linear Algebra Appl. 126:39-78 (1989).
4. A. Neumaier, Tolerance analysis with interval arithmetic. Freiburger Intervall-Berichte 86(9):5-19 (1986).
5. B. Kelling and D. Oelschlägel, Zur Lösung von linearen Toleranzproblemen. Wiss. Z. TH Leuna-Merseburg 33(1):121-131 (1991).
6. S. P. Shary, Solving the interval linear tolerance problem. Math. Comput. Simulation 39:53-85 (1995).
7. N. A. Khlebalin and Yu. I. Shokin, Interval variant of the modal control method. Doklady Akademii Nauk 316(4):846-850 (1991). (in Russian)
8. A. V. Lakeyev and S. I. Noskov, Description of the solution set to linear equation with the intervally defined operator and right-hand side. Doklady Akademii Nauk 330(4):430-433 (1993). (in Russian)
9. S. P. Shary, Algebraic approach to the interval linear static identification, tolerance and control problems, or One more application of Kaucher arithmetic. Reliable Computing 2:3-33 (1996).
10. W. Barth and E. Nuding, Optimale Lösung von Intervallgleichunssystemen. Computing, 12:117-125 (1974).
11. H. Ratschek, Teilbarkeitskriterien der Intervallarithmetik. J. Reine Angew. Mathematik 252:128-138 (1972).