论文信息 - Bounding solutions of systems of equations using interval analysis

Bounding solutions of systems of equations using interval analysis

We introduce some variations of the interval Newton method for bounding solutions to a set ofn nonlinear equations. It is pointed out that previous implementations of Krawczyk's method are very inefficient and an improved version is given. A superior type of Newton method is introduced.

E. Hansen | Saumyendra Sengupta

[1] E. Hansen,et al. Interval Arithmetic in Matrix Computations, Part II , 1965 .

[2] G. Alefeld,et al. Intervallrechnung über den komplexen Zahlen und einige Anwendungen , 1968 .

[3] E. Hansen. On solving systems of equations using interval arithmetic , 1968 .

[4] Eldon Hansen,et al. A globally convergent interval method for computing and bounding real roots , 1978 .

[5] Ramon E. Moore. Methods and applications of interval analysis , 1979, SIAM studies in applied mathematics.

[6] M. A. Wolfe. A Modification of Krawczyk’s Algorithm , 1980 .