A proof of convergence and an error bound for the method of bisection in Rn

Mathematics of Computation

Volumn 32, Issue 144, 1978, Pages 1147-1153

  Kearfott, Baker ^a  

^a UNIVERSITY OF LOUISIANA AT LAFAYETTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008438691     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1978-0494897-3     Document Type: Article

References (7)

1. P. Alexandroff and H. Hopf, Topologie, Chelsea, New York, 1935; reprinted 1973.
2. MARVIN GREENBERG, Lectures on Algebraic Topology, Benjamin, New York, 1967.
3. R. B. Kearfott, Computing the Degree of Maps and a Generalized Method of Bisection, Ph. D. Dissertation, Univ. Of Utah, 1977.
4. R. B. Kearfott, "An efficient degree-computation method for a generalized method of bisection," Numer. Math. (To appear.)
5. J. Rosenberg and F. Stenger, "A lower bound on the angles of triangles constructed by bisecting the longest side," Math. Comp., v. 29, 1975, pp. 390-395.
6. MARTIN STYNES, An Algorithm for the Numerical Calculation of the Degree of a Mapping, Ph. D. Dissertation, Oregon State Univ., 1977.
7. FRANK STENGER, "An algorithm for the topological degree of a mapping in Rn," Numer. Math., v. 25, 1976, pp. 23-28.