A differential-equations algorithm for nonlinear equations

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A differential-equations algorithm for nonlinear equations

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 10 , Issue 3 (September 1984) table of contents

Pages: 299 - 316

Year of Publication: 1984

ISSN:0098-3500

Authors

Filippo Aluffi-Pentini	Bari University
Valerio Parisi	Rome University
Francesco Zirilli	Camerino University

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 5, Downloads (12 Months): 27, Citation Count: 4

Additional Information:

references cited by index terms collaborative colleagues peer to peer

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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	ALUFFI, F., INCERTI, S., AND ZIRILL1, F. Systems of equations and A-stable integration of second order o.d.e.'s. In Nuraerwal Optimization and Dynamic Systems, L.C.W. Dixon and G.P. Szego, Eds. Elsevmr-North Holland, 1980, pp. 289-307.
	2	ALUFFI, F., INCERTI, S., AND ZIRILLI, F. Systems of s~multaneous equations and second order differential equations. In Ott~ra~zzaz~one Nonlineare e Apphcaz~mi, S. Incerti and G. Treccani, Eds., Pitagora Editnee, Bologna, 1980, pp. 195-211.
	3	K. L. Hiebert, An Evaluation of Mathematical Software That Solves Systems of Nonlinear Equations, ACM Transactions on Mathematical Software (TOMS), v.8 n.1, p.5-20, March 1982 [doi>10.1145/355984.355986]
	4	HIEBERT, K.L. A comparison of software which solves systems of nonlinear equations. Tech. Rep. SANDS0-0181. Sandia National Laboratories, Albuquerque, N. Mex.
	5	INCERTI, S., PARISI, V., AND ZIRILLI, F. A new method for solving nonlinear simultaneous equations. SIAM J Numer. Anal 16 (1979), 779-789.
	6	INCERTI, S., PARISl, V., AND ZIRILLI, F. A FORTRAN subroutine for solving systems of nonlinear simultaneous equations. Comput. J 24 (1981), 87-91.
	7	LAMBERT, J.D., AND SIGURDSSON, S.T. Multistep methods with variable matrix coefficmnts. SIAMJ Numer Anal. 9 (1972), 715-733.
	8	Jorge J. Moré , Burton S. Garbow , Kenneth E. Hillstrom, Testing Unconstrained Optimization Software, ACM Transactions on Mathematical Software (TOMS), v.7 n.1, p.17-41, March 1981 [doi>10.1145/355934.355936]
	9	J. J. Moré , Burton S. Garbow , Kenneth E. Hillstrom, Algorithm 566: FORTRAN Subroutines for Testing Unconstrained Optimization Software [C5], [E4], ACM Transactions on Mathematical Software (TOMS), v.7 n.1, p.136-140, March 1981 [doi>10.1145/355934.355943]
	10	ZIRILLI, F. The use of ordinary differential equations in the solution of nonlinear systems of equations. In Nonlinear Optimization 1981, M.J.D. Powell, Ed. Academic Press, New York, 1981, pp. 39-47.
	11	ZIRILLI, F. The solution of nonlinear systems of equations by second order systems of o.d.e. and linearly implicit A-stable techniques. SIAM J. Numer Anal. 19 (1982), 800-816.

CITED BY 4

	Filippo Aluffi-Pentini , Valerio Parisi , Francesco Zirilli, A global optimization algorithm using stochastic differential equations, ACM Transactions on Mathematical Software (TOMS), v.14 n.4, p.345-365, Dec. 1988
	Li-Zhi Liao , Houduo Qi , Liqun Qi, Neurodynamical Optimization, Journal of Global Optimization, v.28 n.2, p.175-195, February 2004
	Filippo Aluffi-Pentini , Valerio Parisi , Francesco Zirilli, Algorithm 617 DAFNE: a differential-equations algorithm for nonlinear equations, ACM Transactions on Mathematical Software (TOMS), v.10 n.3, p.317-324, Sept. 1984
	Xinyuan Wu , Jianlin Xia , Zixiang Ouyang, Note on global convergence of ODE methods for unconstrained optimization, Applied Mathematics and Computation, v.125 n.2-3, p.311-315, 25 January 2002

INDEX TERMS

Classification:
G. Mathematics of Computing
G.1 NUMERICAL ANALYSIS
G.1.5 Roots of Nonlinear Equations
Subjects: Iterative methods
G.4 MATHEMATICAL SOFTWARE
Subjects: Certification and testing; Algorithm design and analysis

General Terms:
Algorithms, Theory, Verification

Collaborative Colleagues:

Filippo Aluffi-Pentini: colleagues

Valerio Parisi: colleagues

Francesco Zirilli: colleagues

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