Optimal finite characterization of linear problems with inexact data

Reliable Computing

Volumn 11, Issue 6, 2005, Pages 479-489

  Kreinovich, Vladik ^a  

^a 500 W University Avenue   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHARACTERIZATION; DATA REDUCTION; LINEAR EQUATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBLEM SOLVING;

INEXACT DATA; INTERVAL MATRIX; LINEAR PROBLEMS; OPTIMAL FINITE CHARACTERIZATION;

LINEAR SYSTEMS;

EID: 23844447953     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11155-005-0406-8     Document Type: Article

References (7)

1. Baumann, M.: A Regularity Criterion for Interval Matrices, in: Garloff, J. et al. (eds.), Collection of Scientific Papers Honoring Prof. Dr. Karl Nickel on Occasion of his 60th Birthday, Part I, Freiburg University, Freiburg, 1984, pp. 45-50.
2. Kreinovich, V., Lakeyev, A., Rohn, J., and Kahl, P.: Computational Complexity and Feasibility of Data Processing and Interval Computations, Kluwer Academic Publishers, Dordrecht, 1998.
3. Rohn, J.: Finite Characterization of Some Linear Problems with Inexact Data, in: Abstracts of SCAN'2000/Interval'2000, Karlsruhe, Germany, September 19-22, 2000, p. 32.
4. Rohn, J. : Inverse Interval Matrix, SIAM Journal on Numerical Analysis 30 (1993), pp. 864-870.
5. Rohn, J.: Positive Deflniteness and Stability of Interval Matrices, SIAM Journal on Matrix Algebra and Applications 15 (1994), pp. 175-184.
6. Rohn, J.: Systems of Linear Interval Equations, Linear Algebra and Its Applications 126 (1989), pp. 39-78.
7. Tsatsomeros, M. and Li, L.: A Recursive Test for P-Matrices, BIT Numerical Mathematics 40 (2) (2000), pp. 404-408.