Algorithm 631: Finding a bracketed zero by Larkin's method of rational interpolation

ACM Transactions on Mathematical Software (TOMS)

Volumn 11, Issue 2, 1985, Pages 120-134

  Norton, Victor ^a  

^a BOWLING GREEN STATE UNIVERSITY   (United States)

Author keywords

bracketed zero; rational interpolation

Indexed keywords

MATHEMATICAL TECHNIQUES - INTERPOLATION;

BRACKETED ZERO; RATIONAL INTERPOLATION;

COMPUTER PROGRAMMING;

EID: 0022075330     PISSN: 00983500     EISSN: 15577295     Source Type: Journal    
DOI: 10.1145/214392.214396     Document Type: Article

References (11)

1. ANDERSON, N., and BJORK A. A new high order method of regula falsi type for computing a root of an equation. BIT 13 (1973), 253-264.]
2. BRENT, R. e. Algorithms for Minimization without Derivatives. Prentice-Hall, Englewood Cliffs, N.J., 1973.]
3. BRENT, R. P. An algorithm with guaranteed convergence for finding a zero of a function. Cornput. J. 14 (1971), 422-425.]
4. Bus, J. C. P., AND DEKKER, T.J. Two efficient algorithms with guaranteed convergence for finding a zero of a function. ACM Trans. Math. Softw. I, 4 (Dec. 1975), 330-345.]
5. Cox, M.G. A bracketing technique for computing a zero of a function. Comput. J. 13 (1970),{ 101-102.]
6. DE BOOR, C. A Practical Guide to Splines. Springer-Verlag, New York, 1978.]
7. IMSL LmRARV, EDITION 9. International Mathematical & Statistical Libraries, Inc., Houston, Tex., 1982.]
8. LARKIN, F.M. Root-finding by fitting rational functions. Math. Comput. 35 (1980), 803-816.]
9. MUIR, T., AND METZLER, W. H. A Treatise on the Theory o{ Determinants. Longmans, Green and Co., New York, 1933.]
10. OSTROWSKI, A. M. Solution of Equations” in Euclidean and Banach Spaces. Academic Press, New York, 1973.]
11. TORNHEIM, L. Convergence of multipoint iterative methods. J. ACM 11, 2 (Apr. 1964), 210-220.]