A class of methods for solving nonlinear simultaneous equations

Author:
C. G. Broyden

Journal:
Math. Comp. **19** (1965), 577-593

MSC:
Primary 65.50

MathSciNet review:
0198670

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References | Similar Articles | Additional Information

**[1]**William C. Davidon,*Variable metric method for minimization*, SIAM J. Optim.**1**(1991), no. 1, 1–17. MR**1094786**, 10.1137/0801001**[2]**R. Fletcher and M. J. D. Powell,*A rapidly convergent descent method for minimization*, Comput. J.**6**(1963/1964), 163–168. MR**0152116****[3]**Ferdinand Freudenstein and Bernard Roth,*Numerical solution of systems of nonlinear equations*, J. Assoc. Comput. Mach.**10**(1963), 550–556. MR**0164442****[4]**Alston S. Householder,*Principles of numerical analysis*, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1953. MR**0059056****[5]**William Kizner,*A numerical method for finding solutions of nonlinear equations*, J. Soc. Indust. Appl. Math.**12**(1964), 424–428. MR**0168115****[6]**M. J. D. Powell,*An efficient method for finding the minimum of a function of several variables without calculating derivatives*, Comput. J.**7**(1964), 155–162. MR**0187376****[7]**M. J. D. Powell,*A method for minimizing a sum of squares of non-linear functions without calculating derivatives*, Comput. J.**7**(1965), 303–307. MR**0172456****[8]**B. Randell, "The Whetstone KDF9 ALGOL Translator,"*Introduction to System Programming*, P. Wegner (Ed.), Academic Press, London, 1964, pp. 122-136.**[9]**Richard S. Varga,*Matrix iterative analysis*, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. MR**0158502****[10]**R. S. Varga, op. cit., p. 62.

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DOI:
https://doi.org/10.1090/S0025-5718-1965-0198670-6

Article copyright:
© Copyright 1965
American Mathematical Society