Updating the inverse of a matrix WW Hager SIAM review 31 (2), 221-239, 1989 | 997 | 1989 |

A new conjugate gradient method with guaranteed descent and an efficient line search WW Hager, H Zhang SIAM Journal on optimization 16 (1), 170-192, 2005 | 919 | 2005 |

A survey of nonlinear conjugate gradient methods WW Hager, H Zhang Pacific journal of Optimization 2 (1), 35-58, 2006 | 856 | 2006 |

Algorithm 887: CHOLMOD, supernodal sparse Cholesky factorization and update/downdate Y Chen, TA Davis, WW Hager, S Rajamanickam ACM Transactions on Mathematical Software (TOMS) 35 (3), 1-14, 2008 | 668 | 2008 |

A nonmonotone line search technique and its application to unconstrained optimization H Zhang, WW Hager SIAM journal on Optimization 14 (4), 1043-1056, 2004 | 581 | 2004 |

A unified framework for the numerical solution of optimal control problems using pseudospectral methods D Garg, M Patterson, WW Hager, AV Rao, DA Benson, GT Huntington Automatica 46 (11), 1843-1851, 2010 | 557 | 2010 |

Runge-Kutta methods in optimal control and the transformed adjoint system WW Hager Numerische Mathematik 87 (2), 247-282, 2000 | 459 | 2000 |

Error estimates for the finite element solution of variational inequalities F Brezzi, WW Hager, PA Raviart Numerische Mathematik 28 (4), 431-443, 1977 | 371 | 1977 |

An *hp*‐adaptive pseudospectral method for solving optimal control problemsCL Darby, WW Hager, AV Rao Optimal Control Applications and Methods 32 (4), 476-502, 2011 | 362 | 2011 |

Joint transceiver design for MIMO communications using geometric mean decomposition Y Jiang, J Li, WW Hager IEEE Transactions on Signal Processing 53 (10), 3791-3803, 2005 | 358 | 2005 |

Applied numerical linear algebra WW Hager Prentice hall, 1988 | 357 | 1988 |

Algorithm 851: CG_DESCENT, a conjugate gradient method with guaranteed descent WW Hager, H Zhang ACM Transactions on Mathematical Software (TOMS) 32 (1), 113-137, 2006 | 329 | 2006 |

Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method D Garg, MA Patterson, C Francolin, CL Darby, GT Huntington, WW Hager, ... Computational Optimization and Applications 49 (2), 335-358, 2011 | 297* | 2011 |

Condition estimates WW Hager SIAM Journal on scientific and statistical computing 5 (2), 311-316, 1984 | 278 | 1984 |

Pseudospectral methods for solving infinite-horizon optimal control problems D Garg, WW Hager, AV Rao Automatica 47 (4), 829-837, 2011 | 266 | 2011 |

Lipschitz continuity for constrained processes WW Hager SIAM Journal on Control and Optimization 17 (3), 321-338, 1979 | 255 | 1979 |

Uniform channel decomposition for MIMO communications Y Jiang, J Li, WW Hager IEEE Transactions on Signal Processing 53 (11), 4283-4294, 2005 | 252 | 2005 |

A new active set algorithm for box constrained optimization WW Hager, H Zhang SIAM Journal on Optimization 17 (2), 526-557, 2006 | 242 | 2006 |

Discontinuous Galerkin methods for ordinary differential equations M Delfour, W Hager, F Trochu Mathematics of Computation 36 (154), 455-473, 1981 | 238 | 1981 |

An inverse mapping theorem for set-valued maps AL Dontchev, WW Hager Proceedings of the American Mathematical Society 121 (2), 481-489, 1994 | 218 | 1994 |