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.
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. Broyen, 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.
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.
Garbow80: B. S. Garbow, K. E. Hillstrom, and J. J. More, MINPACK project, Argonne Nat'l Lab, March 1980.
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.
Golub: Golub & Van Loan, "Matrix Computations" (3rd ed)
Hairer00: E. Hairer, S.P. Norsett and G. Wanner, "Solving ordinary differential equations I, Nonstiff Problems", (2000) Springer, 2nd revised 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.
Lewin83: L. Lewin, " Polylogarithms and Associated Functions", (1983) North Holland, New York.
Longman58: I.M. Longman, Math. Tables Other Aids Comput. (later renamed Math. Comp.) 12 (1958) 205.
Luzum11: B. Luzum, et al., Celest. Mech. and Dyn. Astron. 110 (2011) 293. (See also http://maia.usno.navy.mil/NSFA/IAU2009_consts.html .)
Mohr12: P.J. Mohr, B.N. Taylor, and D.B. Newell, Rev. Mod. Phys. 84 (2012) 1527.
More79: J. Moré and M. Cosnard, ACM Trans. Math. Software, 5 (1979) 64.
More80: J. Moré and M. Cosnard, ACM Trans. Math. Software, 6 (1980) 240.
Nelder65: J.A. Nelder and R. Mead, Computer Journal 7 (1965) pp. 308-313.
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. Press and G.R. Farrar, "Recursive Stratified Sampling for Multidimensional Monte Carlo Integration", Computers in Physics, v4 (1990), pp. 190-195.
Prince81: P.J. Prince and J.R. Dormand, J. Comp. Appl. Math. 7 (1981) 67.
Rutishauser63: H. Rutishauser, Numer. Math. 5 (1963) 48.
Storn97: R. Storn and K. Price, Jour. of Global Optim. 11 (1997) 341.
Tolstov62: G.P. Tolstov, "Fourier Series" (1962) Prentice Hall, Englewood Cliffs, N.J.
(I don't have a link for the 1962 version, but a 1976 reprinting is available
here
)
Wynn56: P Wynn, Math. Tables Other Aids Comput. (later renamed Math. Comp.) 10 (1956) 91.
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