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An algorithm for finding a solution of simultaneous nonlinear equations

Published: 09 December 1968 Publication History

Abstract

In many practical problems the need for a solution of a set of simultaneous nonlinear algebraic equations arises. The problems will vary greatly from one discipline to another, but the basic mathematical formulation remains the same. A general digital computer solution for all sets of simultaneous nonlinear equations does not seem to exist at the present time; however, several recent techniques make the solution of certain systems more feasible than in the past.

References

[1]
C G Broyden A class of methods of solving nonlinear simultaneous equations Mathematics of Computation Vol 19 No 92 Oct 1965
[2]
P K Henrici Elements of Numerical Analysis John Wiley & Sons Inc New York 1964
[3]
A S Householder Principles of Numerical Analysis McGraw Hill New York 1953
[4]
F H Deist L Sefor Solution of systems of nonlinear equations by parameter variation The Computer Journal May 1967
[5]
V A Matveev Method of approximate solution of systems of nonlinear equations Defense Documentation Center AD 637 966 June 1966
[6]
H H Rosenbrock An automatic method for finding the greatest or least value of a function The Computer Journal Vol 3 1960 f
[7]
O G Mancino Resolution by interation of some nonlinear systems Journal of ACM Vol 14 1967
[8]
L S Lasdon S J Mitter A D Waren The conjugate gradient method for optimal control problems IEEE Transactions on Automatic Control Vol AC-12 April 1967
[9]
G R Geiss J V Abbate Study on determining stability domains for nonlinear dynamical systems Grumman Research Department Report RE-282 Feb 1967

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AFIPS '68 (Fall, part I): Proceedings of the December 9-11, 1968, fall joint computer conference, part I
December 1968
931 pages
ISBN:9781450378994
DOI:10.1145/1476589
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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  • AFIPS: American Federation of Information Processing Societies

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 09 December 1968

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  • Research-article

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AFIPS '68 (Fall, part I)
Sponsor:
  • AFIPS
December 9 - 11, 1968
California, San Francisco

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