A multidimensional interval Newton method

Reliable Computing

Volumn 12, Issue 4, 2006, Pages 253-272

  Hansen, Eldon ^a  

^a NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; REUSABILITY;

INTERVAL NEWTON METHOD; JACOBIANS; PRECONDITIONERS; STANDARD PROCEDURES;

MATRIX ALGEBRA;

EID: 33746909094     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11155-006-9000-y     Document Type: Article

References (7)

1. Hansen, E. R.: Interval Arithmetic in Matrix Computations, Part I, SIAM J. Numer. Anal. 2 (1965), pp. 308-320.
2. Hansen, E. R.: On Solving Systems of Equations Using Interval Arithmetic, Math. Comput. 22 (1968), pp. 374-384.
3. Hansen, E. R. and Greenberg, R. I.: An Interval Newton Method, Appl. Math. Comput. 12 (1983), pp. 89-98.
4. Hansen, E. R. and Walster, G. W.: Global Optimization Using Interval Analysis, Marcel Dekker, 2004.
5. Kearfott, R. B.: Rigorous Global Search: Continuous Problems, Kluwer Academic Publishers, 1996.
6. Neumaier, A.: Interval Methods for Systems of Equations, Cambridge University Press, 1990.
7. Rall, L. B.: Computer Solution of Nonlinear Operator Equations, John Wiley and Sons, 1969.