References
- A
ndrei , N. (2008) An Unconstrained Optimization Test Functions Collection, Advanced Modeling and Optimization, 10, 147–161. - A
tkinson , K. E. (1978) An Introduction to Numerical Analysis. Nonlinear Systems of Equations. John Wiley & Sons, Canada. - B
royden , C. G. (1970) “The convergence of a class of double-rank minimization algorithms”, Journal of the Institute of Mathematics and Its Applications, 6: 76–90, doi:10.1093/imamat/6.1.76 - B
uckley , A. (1978) A combined conjugate-gradient quasi-Newton minimization algorithm. Mathematical Programming, 15, 200–210. - B
urden , R. L.and Faires , J.D. (2010) Numerical Analysis, 9th Edition. Brooks Cole. - H
estenes , M.and Stiefel , E. (1952) Methods of Conjugate Gradients for Solving Linear Systems. Journal of Research of the National Bureau of Standards, 49, 409–436. - F
letcher , R. (1970) “A New Approach to Variable Metric Algorithms”, Computer Journal, 13 (3): 317–322, doi:10.1093/comjnl/13.3.317 - F
letcher , R.and Reeves , C. (1964) Function Minimization by Conjugate Gradients. Computer Journal, 7, 149–154. - G
oldfarb , D. (1970) “A Family of Variable Metric Updates Derived by Variational Means”, Mathematics of Computation, 24 (109): 23–26, doi:10.1090/S0025-5718-1970-0258249-6 - K
elley , C. (1987) Solving Nonlinear Equations with Newton’s Method. Cambridge University Press. - K
elley , C. (1995) Iterative Methods for Linear and Nonlinear Equations. Society for Industrial and Applied Mathematics, Philadelphia. - N
edzhibov , G. (2008) A family of multi-point iterative methods for solving systems of nonlinear equations. Journal of Computational and Applied Mathematics, 2, 244-250. - P
owell , M. J. D. (1970) A hybrid method for nonlinear equations. Numerical Methods for Nonlinear Algebraic Equations, ch. 6, 87–114. - S
hanno , David F. (July 1970) “Conditioning of quasi-Newton methods for function minimization”, Mathematics of Computation, 24 (111): 647–656, doi:10.1090/S0025-5718-1970-0274029-X, MR 0274029 - S
hi , Y. (2000) Globally Convergent Algorithms for Unconstrained Optimization. Computational Optimization and Applications, New York, 16, 295–308. - T
aheri , S.and Mammadov , M. (2012) Solving systems of nonlinear equations using a globally Convergent Optimization algorithm. Global Journal of Technology & Optimization, 3, 132–138.