Numerical Solution of Nonlinear Equations

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Numerical Solution of Nonlinear Equations

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 5 , Issue 1 (March 1979) table of contents

Pages: 64 - 85

Year of Publication: 1979

ISSN:0098-3500

Authors

Jorge J. Moré	Applied Mathematics Division, Argonne National Laboratory, 9700, South Cass Ave., Argonne, IL
Michel Y. Cosnard	Mathématiques Appliquées-Informatique, Universite Scientifique et Médicale de Grenoble, Boite Postale 53, 38041 Grenoble Cédex, France

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 10, Downloads (12 Months): 138, Citation Count: 7

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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	BRENT, R.P. Some efficient algorithms for solving systems of nonhnear equations. SlAM J Numer Anal. 10 (1973), 327-344.
	2	BRowN, K.M. A quadratically convergent method for solving simultaneous nonlinear equations. Ph.D. Dins., Purdue U, Lafayette, Ind,, 1966.
	3	BROWN, K.M, AND DENNIS, J.E. On the second order convergence of Brown's derivative-free method for solving simultaneous nonlinear equations. Tech. Rep. 71-7, Dept. Comptr Sci., Yale U, New Haven, Conn., 1971
	4	Michel Y Cosnard, A Comparison of Four Methods for Solving Systems of Nonlinear Equations, Cornell University, Ithaca, NY, 1975
	5	CURTIS, A R., POWELL, M.J.D, AND REID, J K. On the estimation of sparse Jacobian matrices. J Inst. Math Apphc. 13 (1974), 117-119
	6	David M. Gay, Brown's method and some generalizations, with applications to minimization problems., 1975
	7	GAY, D.M Implementing Brown's method. Rep. CNA-109, Ctr. Numer. Anal., The U. of Texas at Austin, 1975.
	8	MARTINEZ, J.M. Generahzations of the methods of Brent and Brown for solving nonhnear simultaneous equaUons Ph.D. DiNs., U of Rio de Janeiro, Brazil, 1977
	9	SHAMPINE, L F., AND GORDON, M K. Solving systems of nonlinear equations. Tech Rep. SAND- 75-0450, Sandla Labs, Albuquerque, N. Mex, 1975.

CITED BY 7

	Jorge J. Moré , Michael Y. Cosnard, Algorithm 554: BRENTM, A Fortran Subroutine for the Numerical Solution of Nonlinear Equations [C5], ACM Transactions on Mathematical Software (TOMS), v.6 n.2, p.240-251, June 1980
	Monica Bianchini , Stefano Fanelli , Marco Gori, Optimal Algorithms for Well-Conditioned Nonlinear Systems of Equations, IEEE Transactions on Computers, v.50 n.7, p.689-698, July 2001
	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
	D. McAllester, The rise of nonlinear mathematical programming, ACM Computing Surveys (CSUR), v.28 n.4es, Dec. 1996
	Alexander P. Morgan, A Method for Computing All Solutions to Systems of Polynomials Equations, ACM Transactions on Mathematical Software (TOMS), v.9 n.1, p.1-17, March 1983
	Christian Kanzow , Andreas Klug, An interior-point affine-scaling trust-region method for semismooth equations with box constraints, Computational Optimization and Applications, v.37 n.3, p.329-353, July 2007
	Frédéric Goualard , Christophe Jermann, A Reinforcement Learning Approach to Interval Constraint Propagation, Constraints, v.13 n.1-2, p.206-226, June 2008