Convergence of the Polak–Ribiére–Polyak conjugate gradient method

[1]  M. Hestenes,et al.  Methods of conjugate gradients for solving linear systems , 1952 .

[2]  C. M. Reeves,et al.  Function minimization by conjugate gradients , 1964, Comput. J..

[3]  A. Goldstein.  On Steepest Descent , 1965 .

[4]  L. Armijo.  Minimization of functions having Lipschitz continuous first partial derivatives. , 1966 .

[5]  P. Wolfe.  Convergence Conditions for Ascent Methods. II , 1969 .

[6]  Boris Polyak.  The conjugate gradient method in extremal problems , 1969 .

[7]  A. I. Cohen.  Rate of convergence of several conjugate gradient algorithms. , 1972 .

[8]  D. Shanno.  On the Convergence of a New Conjugate Gradient Algorithm , 1978 .

[9]  David F. Shanno,et al.  Conjugate Gradient Methods with Inexact Searches , 1978, Math. Oper. Res..

[10]  Jorge J. Moré,et al.  Testing Unconstrained Optimization Software , 1981, TOMS.

[11]  Jorge Nocedal,et al.  Global Convergence Properties of Conjugate Gradient Methods for Optimization , 1992, SIAM J. Optim..

[12]  Jorge Nocedal,et al.  Theory of algorithms for unconstrained optimization , 1992, Acta Numerica.

[13]  C. Storey,et al.  Generalized Polak-Ribière algorithm , 1992 .

[14]  Luigi Grippo,et al.  A globally convergent version of the Polak-Ribière conjugate gradient method , 1997, Math. Program..

[15]  Stephen J. Wright,et al.  Numerical Optimization , 2018, Fundamental Statistical Inference.

[16]  Ya-Xiang Yuan,et al.  A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property , 1999, SIAM J. Optim..

[17]  Jiapu Zhang,et al.  Global Convergence of Conjugate Gradient Methods without Line Search , 2001, Ann. Oper. Res..

[18]  J. M. Martínez,et al.  A Spectral Conjugate Gradient Method for Unconstrained Optimization , 2001 .

[19]  Yu-Hong Dai.  New properties of a nonlinear conjugate gradient method , 2001, Numerische Mathematik.

[20]  Yu-hongDai,et al.  TESTING DIFFERENT CONJUGATE GRADIENT METHODS FOR LARGE—SCALE UNCONSTRAINED OPTIMIZATION , 2003 .

[21]  Jie Shen,et al.  Convergence of descent method without line search , 2005, Appl. Math. Comput..

[22]  Jie Shen,et al.  A new super-memory gradient method with curve search rule , 2005, Appl. Math. Comput..

[23]  Luigi Grippo,et al.  Convergence conditions, line search algorithms and trust region implementations for the Polak–Ribière conjugate gradient method , 2005, Optim. Methods Softw..

[24]  Xiaoqi Yang,et al.  Quadratic cost flow and the conjugate gradient method , 2005, Eur. J. Oper. Res..

[25]  R. Pavanello,et al.  Numerical methods for the dynamics of unbounded domains , 2005 .

[26]  Roger Fletcher,et al.  On the asymptotic behaviour of some new gradient methods , 2005, Math. Program..

[27]  Zhen-Jun Shi,et al.  Step-size estimation for unconstrained optimization methods , 2005 .