Some of the references which contain links should direct you to the work referred to directly through dx.doi.org
for journal articles or worldcat.org
for books.
Bader83: G. Bader and P. Deuflhard, Numer. Math. 41 (1983) 373.
Berntsen91: J. Berntsen, T. O. Espelid, and A. Genz, ACM Trans. Math. Soft. 17 (1991) 437.
Birgin00: E. G. Birgin, J. M. Martinez, and M. Raydan, SIAM J. Optim 10 (2000) 1196.
Brest06: J. Brest, S. Greiner, B. Boskovic, M. Mernik, and V. Zumer, IEEE Trans. on Evol. Comp. 10 (2006) 646.
Broyden65: C. G. Broyden, Math. Comp. 19 (1965) 577.
Bus75: J. C. P. Bus and T. J. Dekker, ACM Trans. Math. Soft. 1 (1975) 330.
Cash90: J. R. Cash and A. H. Karp, ACM Trans. Math. Soft. 16 (1990) 201.
Cormen09: T. H. Cormen, C. E. Leiserson, R. L. Rivest, and C. Stein, Introduction to Algorithms, 3rd Edition, (2009) The MIT Press.
EngelnMullges96: G. Engeln-Müllges and F. Uhlig, Numerical Algorithms in C, (1996) Springer, p. 96.
Fletcher87: R. Fletcher, Practical Methods of Optimization, (1987) John Wiley & Sons, Chichester, p. 39.
Fritsch80: F. N. Fritsch and R. E. Carlson, SIAM J. Numer. Anal. 17 (1980) 238.
Galassi09: M. Galassi, J. Davies, J. Theiler, B. Gough, G. Jungman, P. Alken, M. Booth, and F. Rossi, GNU Scientific Library Reference Manual - Third Edition, (2009) Network Theory, Bristol.
Garbow80: B. S. Garbow, K. E. Hillstrom, and J. J. More, MINPACK project, (1980) Argonne Natl. Lab.
Genz80: A. C. Genz and A. A. Malik, J. Comp. Appl. Math. 6 (1980) 295.
Genz83: A. C. Genz and A. A. Malik, SIAM J. Numer. Anal. 20 (1983) 580.
Golub96: G. H. Golub and C. F. Van Loan, Matrix Computations (3rd ed), (1996) Johns Hopkins University Press.
Hairer09: E. Hairer and G. Norsett S. P. and Wanner, Solving ordinary differential equations I, Nonstiff Problems, (2009) Springer, 2nd edition.
Kelley99: C. T. Kelley, Iterative methods for optimization, (1999) SIAM, Philadelphia.
Krabs83: W. Krabs, Einführung in die lineare und nichtlineare Optimierung für Ingenieure, (1983) Teubner, Stuttgart, p. 84.
Lepage78: G. P. Lepage, J. Comp. Phys. 27 (1978) 192.
Lewin81: L Lewin, Polylogarithms and Associated Functions, (1981) North Holland, New York.
Longman58: I. M. Longman, Math. Tables Other Aids Comput. 12 (1958) 205.
Luzum11: B. Luzum and (none) et al., Celest. Mech. and Dyn. Astron. 110 (2011) 293.
Mohr12: P. J. Mohr, B. N. Taylor, and D. B. Newell, Rev. Mod. Phys. 84 (2012) 1527.
More79: M. Mor\'{e} J. and Cosnard, ACM Trans. Math. Software 5 (1979) 64.
More80: J. Mor\'{e} and M. Cosnard, ACM Trans. Math. Software 6 (1980) 240.
Nelder65: J. A. Nelder and R. Mead, Computer Journal 7 (1965) 308.
Piessens83: R. Piessens, E. de Doncker-Kapenga, C. Uberhuber, and D. Kahaner, QUADPACK, A Subroutine Package for Automatic Integration, (1983) Springer-Verlag, Berlin.
Press90: W. H. Farrar, G. R. Press, Computers in Physics 4 (1990) 190.
Prince81: P. J. Prince and J. R. Dormand, J. Comp. Appl. Math. 7 (1981) 67.
Rutishauser63: H. Rutishauser, Numer. Math. 5 (1963) 48.
Steffen90: M. Steffen, Astron. Astrophys. 239 (1990) 443.
Storn97: R. Storn and K. Price, Jour. of Global Optim. 11 (1997) 341.
Tolstov62: G. P. Tolstov, Fourier Series, (1962) Prentice Hall, Englewood Cliffs, NJ (I don't have a link for the 1962 version, but a 1976 reprinting is available at http://www.worldcat.org/isbn/9780486633176).
Wynn56: P. Wynn, Math. Tables Other Aids 10 (1956) 91.
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