Convergence of Multipoint Iterative Methods

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Convergence of Multipoint Iterative Methods

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Journal of the ACM (JACM) archive
Volume 11 , Issue 2 (April 1964) table of contents

Pages: 210 - 220

Year of Publication: 1964

ISSN:0004-5411

Author

Leonard Tornheim

California Research Corporation, Richmond, California

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 3, Downloads (12 Months): 21, Citation Count: 4

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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	BACHMAN, K.-H. Der Konvergenzgrad bei iterativer LOsung yon Gleichungen dureh reverse Interpolation. Z. angew. Math. Mech, 84 (1954), 282-283.
	2	KINCAID, W.M. A two-point method for the numerical solution of systems of simultaneous equations. Quart. Appl. Math. 18 (1961), 313-324.
	3	0STROWSKI, A.M. Solution of Equations and Systems of Equations. New York aml Lon don, 1960.
	4	THRALL, R. M., AND TOaNHEIM, L. Vector Spaces and Matrices. New-York, 1957.
	5	WALL, D.D. Tile order of an iteration formula. Math. Tables Aids Corrpatt. 0 (1956) 167-168.
	6	Philip Wolfe, The Secant method for simultaneous nonlinear equations, Communications of the ACM, v.2 n.12, p.12-13, Dec. 1959 [doi>10.1145/368518.368542]
	7	SCHUlDT, J.W. Eine Dbertragung der Reguia Falsi auf Gleicimagen in Banachraunen II. Z. angew. Math. Mech. 18 (1963), 97-100.
	8	CoLLarz, L. Lectures at University of California, Berkeley, 1960.

CITED BY 4

	Frank J. Zeleznik, Quasi- Newton Methods for Nonlinear Equations, Journal of the ACM (JACM), v.15 n.2, p.265-271, April 1968
	Victor Norton, ALGORITHM 631: finding a bracketed zero by Larkin's method of rational interpolation, ACM Transactions on Mathematical Software (TOMS), v.11 n.2, p.120-134, June 1985
	Donald G. Anderson, Iterative Procedures for Nonlinear Integral Equations, Journal of the ACM (JACM), v.12 n.4, p.547-560, Oct. 1965
	Werner C. Rheinboldt, Nonlinear systems of equations, ACM SIGNUM Newsletter, v.4 n.1, p.15-21, January 1969