Page 278 - Compact Numerical Methods For Computers
P. 278

Bibliography                          265
                      EVANS  D J (ed.) 1974 Software for Numerical Mathematics (London: Academic)
                      EVANS  J W and CRAIG  R J 1979 Function minimization using a modified Nelder-Mead simplex search
                         procedure Technical Report No 144 (Lexington, KY: Dept of Statistics, Univ. of Kentucky)
                      FIACCO  A V and MCCORMICK  G P 1964 Computational algorithm for the sequential unconstrained
                         minimization technique for nonlinear programming Mgmt Sci. 10 601-17
                      ---1966 Extensions of SUMT for nonlinear programming: equality constraints and extrapolation Mgmt
                         Sci. 12 816-28
                      FINKBEINER  D T 1966 Introduction to Matrices and Linear Transformations (San Francisco: Freeman)
                      FLETCHER  R 1969 Optimization Proceedings of a Symposium of the Institute of Mathematics and its
                         Applications, Univ. of Keele, 1968 (London: Academic)
                      ---1970 A new approach to variable metric algorithms Comput. J. 13 317-22
                      ---1971 A modified Marquardt subroutine for nonlinear least squares Report No AERE-R 6799
                         (Harwell, UK: Mathematics Branch, Theoretical Physics Division, Atomic Energy Research Establish-
                         ment)
                      ---1972 A FORTRAN subroutine for minimization by the method of conjugate gradients Report No
                         AERE-R 7073 (Harwell, UK: Theoretical Physics Division, Atomic Energy Research Establishment)
                      ---1980a Practical Methods of Optimization vol 1: Unconstrained Optimization (New York/Toronto:
                         Wiley)
                      ---1980b Practical Methods of Optimization vol 2: Constrained Optimization (New York/Toronto:
                         Wiley)
                      FLETCHER R and POWELL M J D 1963 A rapidly convergent descent method for minimization Comput. J. 6
                         163-8
                      FLETCHER  R and REEVES  C M 1964 Function minimization by conjugate gradients Comput. J. 7 149-54
                      FORD  B and HALL  G 1974 The generalized eigenvalue problem in quantum chemistry Comput. Phys.
                         Commun. 8 337-48
                      FORSYTHE  G E and HENRICI  P 1960 The cyclic Jacobi method for computing the principal values of a
                         complex matrix Trans. Am. Math. Soc. 94 l-23
                      FORSYTHE  G E, MALCOLM M A and MOLER C E 1977 Computer Methods for Mathematical Computations
                         (Englewood Cliffs, NJ: Prentice-Hall)
                      FRIED  I 1972 Optimal gradient minimization scheme for finite element eigenproblems J. Sound Vib. 20
                         333-42
                      FRÖBERG  C 1965 Introduction to Numerical Analysis (Reading, Mass: Addison-Wesley) 2nd edn, 1969
                      GALLANT  A R 1975 Nonlinear regression Am. Stat. 29 74-81
                      GASS  S I 1964 Linear Programming 2nd edn (New York/Toronto: McGraw-Hill)
                      GAUSS  K F 1809 Theoria Motus Corporum Coelestiam Werke Bd. 7 240-54
                      GAY  D M 1983 Remark on algorithm 573 (NL2SOL: an adaptive nonlinear least squares algorithm) ACM
                         Trans. Math. Softw. 9 139
                      GENTLEMAN  W M 1973 Least squares computations by Givens’ transformations without square roots J.
                         Inst. Maths Applies 12 329-36
                      GENTLEMAN  W M and MAROVICH  S B 1974 More on algorithms that reveal properties of floating point
                         arithmetic units Commun. ACM 17 276-7
                      GERADIN M 1971 The computational efficiency of a new minimization algorithm for eigenvalue analysis J.
                         Sound Vib. 19 319-31
                      GILL  P E and MURRAY  W (eds) 1974 Numerical Methods for Constrained Optimization (London:
                         Academic)
                      ---1978 Algorithms for the solution of the nonlinear least squares problem SIAM J. Numer. Anal. 15
                         9 7 7 - 9 2
                      GILL  P E, MURRAY  W and WRIGHT  M H 1981 Practical Optimization (London: Academic)
                      GOLUB  G H and PEREYRA  V 1973 The differentiation of pseudo-inverses and nonlinear least squares
                         problems whose variables separate SIAM J. Numer. Anal. 10 413-32
                      GOLUB G H and STYAN G P H 1973 Numerical computations for univariate linear models J. Stat. Comput.
                         Simul. 2  253-74
                      GOLUB  G H and VAN  LOAN  C F 1983 Matrix Computations (Baltimore, MD: Johns Hopkins University
                         Press)
                      GREGORY  R T and KARNEY  D L 1969 Matrices for Testing Computational Algorithms (New York: Wiley
                         Interscience)
   273   274   275   276   277   278   279   280   281   282   283