A method for outer interval solution of linear parametric systems

Reliable Computing

Volumn 10, Issue 3, 2004, Pages 227-239

  Kolev, Lubomir V ^a  

^a TECHNICAL UNIVERSITY OF SOFIA   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; FUNCTIONS; LINEAR ALGEBRA; LINEAR SYSTEMS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NUMERICAL ANALYSIS; NUMERICAL METHODS; PARAMETER ESTIMATION; SET THEORY;

HULL SOLUTIONS; LINEAR ALGEBRAIC SYSTEM; PARAMETRIC SYSTEMS; RELIABLE COMPUTING;

AUTOMATION;

EID: 3042760303     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:REOM.0000032110.34735.ca     Document Type: Article

References (9)

1. Alefeld, G. and Herzberger, J.: Introduction to Interval Computations, Academic Press, London, 1983.
2. Jansson, C.: Interval Linear Systems with Symmetric Matrices, Skew-Symmetric Matrices and Dependencies in the Right-Hand Side, Computing 46 (1991), pp. 265-274.
3. Kolev, L.: Automatic Computation of Linear Interval Enclosure, Reliable Computing 1 (1) (2001), pp. 17-28.
4. Kolev, L.: Interval Methods for Circuit Analysis, World Scientific Ltd., Singapore, 1993.
5. Kolev, L.: Outer Solutions of Linear Systems Whose Elements Are Affine Functions of Interval Parameters, Reliable Computing 8 (6) (2002), pp. 493-501.
6. Kolev, L.: Worst-Case Tolerance Analysis of Linear DC and AC Electric Circuits, IEEE Trans. on Circuits and Systems - I: Fundamental Theory and Appl. 49 (12) (2002), pp. 1693-1701.
7. Okumura, K.: An Application of Interval Operations to Electric Network Analysis, Bul. of the Japan Soc. for Industrial & Applied Mathematics 1 (1993), pp. 115-127.
8. Popova, E.: On the Solution of Parametrised Linear Systems, in: Krämer, W. and Wolff von Gudenberg, I. (eds), Scientific Computing, Validated Numerics, Interval Methods, Kluwer Academic Publishers, Boston, 2001, pp. 127-138.
9. Rump, S.: Verification Methods for Dense and Sparse Systems of Equations, in: Herzberger, J. (ed.), Topics in Validated Computations, Elsevier Science B. V., 1994, pp. 63-135.