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Numerical comparison of three nonlinear equation solvers. [BRENTM, in FORTRAN for IBM computers]

Conference ·
OSTI ID:6411676
;
The numerical solution of n nonlinear equations in n unknowns by the methods of Newton, Brown, and Brent is discussed. The algorithms are described in detail, and their implementations are compared on a set of test problems. It is found that a variation of Brent's method seems to perform best in a large number of cases, and a listing of an implementation of this method appears in an appendix. 9 tables.
Research Organization:
Argonne National Lab., IL (USA)
DOE Contract Number:
W-31109-ENG-38
OSTI ID:
6411676
Report Number(s):
ANL-AMD-TM-286
Country of Publication:
United States
Language:
English

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Related Subjects

99 GENERAL AND MISCELLANEOUS
990200* -- Mathematics & Computers
ALGORITHMS
B CODES
BOUNDARY-VALUE PROBLEMS
COMPARATIVE EVALUATIONS
COMPUTER CODES
COMPUTERS
EQUATIONS
FORTRAN
IBM COMPUTERS
INTEGRAL EQUATIONS
ITERATIVE METHODS
MATHEMATICAL LOGIC
NEWTON METHOD
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
PROGRAMMING LANGUAGES
SERIES EXPANSION