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Restart procedures for the conjugate gradient method. (English) Zbl 0396.90072

MSC:
90C30Nonlinear programming
References:
[1]E.M.L. Beale, ”A derivation of conjugate gradients”, in: F.A. Lootsma, ed.,Numerical methods for nonlinear optimization (Academic Press, London, 1972) pp. 39–43.
[2]H.P. Crowder and P. Wolfe, ”Linear convergence of the conjugate gradient method”,IBM Journal of Research and Development 16 (1972) 431–433. · Zbl 0263.65068 · doi:10.1147/rd.164.0431
[3]R. Fletcher, ”A Fortran subroutine for minimization by the method of conjugate gradients”, Report R-7073, A.E.R.E., Harwell, 1972.
[4]R. Fletcher and M.J.D. Powell, ”A rapidly convergent descent method for minimization”,Computer Journal 6 (1963) 163–168.
[5]R. Fletcher and C.M. Reeves, ”Function minimization by conjugate gradients”,Computer Journal 7 (1964) 149–154. · Zbl 0132.11701 · doi:10.1093/comjnl/7.2.149
[6]D.G. Luenberger,Introduction to linear and nonlinear programming (Addison-Wesley, New York, 1973).
[7]M.F. McGuire and P. Wolfe, ”Evaluating a restart procedure for conjugate gradients”, Report RC-4382, IBM Research Center, Yorktown Heights, 1973.
[8]E. Polak,Computational methods in optimization: a unified approach (Academic Press, London, 1971).
[9]M.J.D. Powell, ”Some convergence properties of the conjugate gradient method”,Mathematical Programming 11 (1976) 42–49. · Zbl 0356.65056 · doi:10.1007/BF01580369
[10]G. Zoutendijk, ”Nonlinear programming, computational methods”, in: J. Adabie, ed.,Integer and nonlinear programming (North-Holland, Amsterdam, 1970) pp. 37–86.