Algorithm 631

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

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 11 , Issue 2 (June 1985) table of contents

Pages: 120 - 134

Year of Publication: 1985

ISSN:0098-3500

Author

Victor Norton

Bowling Green State University, Department of Mathematics and Statistics, Bowling Green, OH

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 2, Downloads (12 Months): 29, Citation Count: 1

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appendices and supplements references cited by index terms peer to peer

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APPENDICES and SUPPLEMENTS

ZERO1 and ZERO2 (631.gz) (5 KB)

Larkin's method of rational interpolation: finding a bracketed zero
Gams: F1b

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	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	J. C. P. Bus , T. J. Dekker, Two Efficient Algorithms with Guaranteed Convergence for Finding a Zero of a Function, ACM Transactions on Mathematical Software (TOMS), v.1 n.4, p.330-345, Dec. 1975 [doi>10.1145/355656.355659]
	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	Leonard Tornheim, Convergence of Multipoint Iterative Methods, Journal of the ACM (JACM), v.11 n.2, p.210-220, April 1964 [doi>10.1145/321217.321224]