Edit Profile Byrd, Richard H. Compute Distance To: Compute Author ID: byrd.richard-h Published as: Byrd, Richard H.; Byrd, R. H.; Byrd, Richard; Bird, Richard; Bird, Richard H. Documents Indexed: 78 Publications since 1975, including 3 Books all top 5 Co-Authors 7 single-authored 33 Nocedal, Jorge 24 Schnabel, Robert B. 9 Eskow, Elizabeth 7 Waltz, Richard A. 4 Boggs, Paul T. 4 Shultz, Gerald A. 4 Tapia, Richard A. 3 Chin, Gillian M. 3 Curtis, Frank E. 3 Shao, Chung-Shang 3 Zhu, Ciyou 2 Azmi, Aqil M. 2 Bollapragada, Raghu 2 Cai, Xiao-Chuan 2 Crivelli, Silvia 2 Goldman, Alan J. 2 Gould, Nicholas Ian Mark 2 Head-Gordon, Teresa 2 Lu, Peihuang 2 Oldenkamp, Klaas P. B. 2 Öztoprak, Figen 2 Prudencio, Ernesto E. 2 van der Hoek, André 2 Wu, Yuchen 2 Yuan, Ya-xiang 2 Zhang, Xiaodong 2 Zou, Zhihong 1 Bader, Brett W. 1 Berahas, Albert S. 1 Cocola, Jorio 1 Derby, Thomas 1 Dert, Cornelius L. 1 Donaldson, Janet R. 1 Fayez Khalfan, H. 1 Gilbert, Jean Charles 1 Hachtel, Gary D. 1 Hansen, Simon Lysbjerg 1 Heller, Miriam 1 Hribar, Mary E. 1 Khalfan, Humaid Fayez 1 Lamberti, Vincent 1 Lightner, Michael R. 1 Liu, Dong Chang 1 Liu, Guanghui 1 López-Calva, Gabriel 1 Marazzi, Marcelo 1 Neveitt, Will 1 Philip, Thomas M. 1 Rabe, Florian 1 Rinnooy Kan, Alexander Hendrik George 1 Sidhu, Gursharan Singh 1 Smith, Sharon L. 1 Solntsev, Stefan 1 Thompson, James R. 1 Weinert, Howard L. 1 Xie, Yuchen 1 Zhang, Yin all top 5 Serials 16 SIAM Journal on Optimization 15 Mathematical Programming. Series A. Series B 5 SIAM Journal on Numerical Analysis 3 Mathematical Programming 3 Optimization Methods & Software 2 ACM Transactions on Mathematical Software 2 Journal of Optimization Theory and Applications 2 SIAM Journal on Scientific and Statistical Computing 2 Journal of Global Optimization 2 SIAM Journal on Scientific Computing 1 IMA Journal of Numerical Analysis 1 Journal of Research of the National Bureau of Standards 1 Operations Research 1 Journal of Computational Mathematics 1 Communications in Statistics. Simulation and Computation 1 Computational Optimization and Applications 1 Documenta Mathematica all top 5 Fields 61 Operations research, mathematical programming (90-XX) 52 Numerical analysis (65-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 8 Computer science (68-XX) 8 Biology and other natural sciences (92-XX) 4 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 66 Publications have been cited 1,997 times in 1,464 Documents Cited by ▼ Year ▼ A limited memory algorithm for bound constrained optimization. Zbl 0836.65080Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge; Zhu, Ciyou 348 1995 Algorithm 778: L-BFGS-B Fortran subroutines for large-scale bound-constrained optimization. Zbl 0912.65057Zhu, Ciyou; Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge 136 1997 An interior point algorithm for large-scale nonlinear programming. Zbl 0957.65057Byrd, Richard H.; Hribar, Mary E.; Nocedal, Jorge 131 1999 A tool for the analysis of quasi-Newton methods with application to unconstrained minimization. Zbl 0676.65061Byrd, Richard H.; Nocedal, Jorge 122 1989 Representations of quasi-Newton matrices and their use in limited memory methods. Zbl 0809.90116Byrd, Richard H.; Nocedal, Jorge; Schnabel, Robert B. 121 1994 Global convergence of a class of quasi-Newton methods on convex problems. Zbl 0657.65083Byrd, Richard H.; Nocedal, Jorge; Yuan, Yaxiang 101 1987 KNITRO: an integrated package for nonlinear optimization. Zbl 1108.90004Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A. 95 2006 A trust region method based on interior point techniques for nonlinear programming. Zbl 1033.90152Byrd, Richard H.; Gilbert, Jean Charles; Nocedal, Jorge 89 2000 A family of trust-region-based algorithms for unconstrained minimization with strong global convergence properties. Zbl 0574.65061Shultz, Gerald A.; Schnabel, Robert B.; Byrd, Richard H. 79 1985 A trust region algorithm for nonlinearly constrained optimization. Zbl 0631.65068Byrd, Richard H.; Schnabel, Robert B.; Shultz, Gerald A. 64 1987 Approximate solution of the trust region problem by minimization over two-dimensional subspaces. Zbl 0652.90082Byrd, Richard H.; Schnabel, Robert B.; Shultz, Gerald A. 44 1988 Sample size selection in optimization methods for machine learning. Zbl 1252.49044Byrd, Richard H.; Chin, Gillian M.; Nocedal, Jorge; Wu, Yuchen 43 2012 A stochastic quasi-Newton method for large-scale optimization. Zbl 1382.65166Byrd, R. H.; Hansen, S. L.; Nocedal, Jorge; Singer, Y. 36 2016 On the use of stochastic Hessian information in optimization methods for machine learning. Zbl 1245.65062Byrd, Richard H.; Chin, Gillian M.; Neveitt, Will; Nocedal, Jorge 32 2011 On the behavior of Broyden’s class of quasi-Newton methods. Zbl 0770.90063Byrd, Richard H.; Liu, Dong C.; Nocedal, Jorge 29 1992 A stable and efficient algorithm for nonlinear orthogonal distance regression. Zbl 0637.65150Boggs, Paul T.; Byrd, Richard H.; Schnabel, Robert B. 28 1987 A theoretical and experimental study of the symmetric rank-one update. Zbl 0771.65029Fayez Khalfan, H.; Byrd, R. H.; Schnabel, R. B. 27 1993 On the convergence of Newton iterations to non-stationary points. Zbl 1072.90038Byrd, Richard H.; Marazzi, Marcelo; Nocedal, Jorge 25 2004 Infeasibility detection and SQP methods for nonlinear optimization. Zbl 1211.90179Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge 25 2010 An inexact successive quadratic approximation method for L-1 regularized optimization. Zbl 1342.49037Byrd, Richard H.; Nocedal, Jorge; Oztoprak, Figen 24 2016 A line search exact penalty method using steering rules. Zbl 1254.90221Byrd, Richard H.; Lopez-Calva, Gabriel; Nocedal, Jorge 23 2012 An inexact SQP method for equality constrained optimization. Zbl 1158.49035Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge 22 2008 Steering exact penalty methods for nonlinear programming. Zbl 1211.90224Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A. 22 2008 A family of second-order methods for convex \(\ell _1\)-regularized optimization. Zbl 1350.49046Byrd, Richard H.; Chin, Gillian M.; Nocedal, Jorge; Oztoprak, Figen 20 2016 Non-quasi-Newton updates for unconstrained optimization. Zbl 0823.65062Yuan, Yaxiang; Byrd, Richard H. 18 1995 Continuity of the null space basis and constrained optimization. Zbl 0598.90072Byrd, Richard H.; Schnabel, Robert B. 18 1986 Analysis of a symmetric rank-one trust region method. Zbl 0923.65035Byrd, Richard H.; Khalfan, Humaid Fayez; Schnabel, Robert B. 17 1996 An algorithm for nonlinear optimization using linear programming and equality constrained subproblems. Zbl 1146.90513Byrd, Richard H.; Gould, Nicholas I. M.; Nocedal, Jorge; Waltz, Richard A. 16 2004 On the local behaviour of an interior point method for nonlinear programming. Zbl 0902.65021Byrd, R. H.; Liu, Guanghui; Nocedal, J. 16 1998 An inexact Newton method for nonconvex equality constrained optimization. Zbl 1184.90127Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge 15 2010 An analysis of reduced Hessian methods for constrained optimization. Zbl 0719.90071Byrd, Richard H.; Nocedal, Jorge 15 1991 Parallel quasi-Newton methods for unconstrained optimization. Zbl 0665.90085Byrd, Richard H.; Schnabel, Robert B.; Shultz, Gerald A. 15 1988 On the convergence of successive linear-quadratic programming algorithms. Zbl 1092.90061Byrd, Richard H.; Gould, Nicholas I. M.; Nocedal, Jorge; Waltz, Richard A. 14 2005 An SQP augmented Lagrangian BFGS algorithm for constrained optimization. Zbl 0773.90065Byrd, R. H.; Tapia, R. A.; Zhang, Yin 13 1992 Parallel full space SQP Lagrange-Newton-Krylov-Schwarz algorithms for PDE-constrained optimization problems. Zbl 1092.49024Prudencio, Ernesto E.; Byrd, Richard; Cai, Xiao-Chuan 13 2006 A stochastic framework for recursive computation of spline functions. II: Smoothing splines. Zbl 0397.65008Weinert, H. L.; Byrd, R. H.; Sidhu, G. S. 11 1980 Feasible interior methods using slacks for nonlinear optimization. Zbl 1053.90119Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A. 10 2003 A stochastic/perturbation global optimization algorithm for distance geometry problems. Zbl 0891.90173Zou, Zhihong; Bird, Richard H.; Schnabel, Robert B. 10 1997 Concurrent stochastic methods for global optimization. Zbl 0693.90081Byrd, Richard H.; Dert, Cornelius L.; Rinnooy Kan, Alexander H. G.; Schnabel, Robert B. 9 1990 An algorithm for quadratic \(\ell_1\)-regularized optimization with a flexible active-set strategy. Zbl 1328.90097Solntsev, Stefan; Nocedal, Jorge; Byrd, Richard H. 8 2015 Towards a discrete Newton method with memory for large-scale optimization. Zbl 0976.90100Byrd, Richard H.; Nocedal, Jorge; Zhu, Ciyou 8 1996 Algorithm 676: ODRPACK: Software for weighted orthogonal distance regression. Zbl 0900.65400Boggs, Paul T.; Donaldson, Janet R.; Byrd, Richard H.; Schnabel, Robert B. 8 1989 An example of irregular convergence in some constrained optimization methods that use the projected Hessian. Zbl 0576.90079Byrd, Richard H. 7 1985 Adaptive sampling strategies for stochastic optimization. Zbl 1461.65131Bollapragada, Raghu; Byrd, Richard; Nocedal, Jorge 7 2018 Parallel methods for solving nonlinear block bordered systems of equations. Zbl 0757.65064Zhang, Xiaodong; Byrd, Richard H.; Schnabel, Robert B. 6 1992 Parallel global optimization: numerical methods, dynamic scheduling methods, and application to molecular configuration. Zbl 1253.90210Byrd, Richard H.; Eskow, Elizabeth; Schnabel, Robert B.; Smith, Sharon L. 6 1993 Derivative-free optimization of noisy functions via quasi-Newton methods. Zbl 1411.90359Berahas, Albert S.; Byrd, Richard H.; Nocedal, Jorge 6 2019 On the convergence of constrained optimization methods with accurate Hessian information on a subspace. Zbl 0689.65041Byrd, Richard H. 5 1990 Pearls of functional algorithm design. Zbl 1229.68026Bird, Richard 5 2010 Practical update criteria for reduced Hessian SQP: Global analysis. Zbl 0963.90073Xie, Y. F.; Byrd, R. H. 4 1999 Global optimization for molecular clusters using a new smoothing approach. Zbl 0962.90052Shao, Chung-Shang; Byrd, Richard; Eskow, Elizabeth; Schnabel, Robert B. 4 2000 An optimization approach to the problem of protein structure prediction. Zbl 1074.92011Eskow, Elizabeth; Bader, Brett; Byrd, Richard; Crivelli, Silvia; Head-Gordon, Teresa; Lamberti, Vincent; Schnabel, Robert 3 2004 Programs and machines. An introduction to the theory of computation. Zbl 0357.68006Bird, Richard 3 1976 Recognizing unbounded integer programs. Zbl 0614.90080Byrd, R. H.; Goldman, A. J.; Heller, Miriam 3 1987 Numerical optimization 1984. (Proceedings of the SIAM Conference on Numerical Optimization, Boulder, Colorado, June 12-14, 1984). Zbl 0552.00011Boggs, Paul T. (ed.); Byrd, Richard H. (ed.); Schnabel, Robert B. (ed.) 3 1985 Global optimization methods for protein folding problems. Zbl 0834.92010Byrd, Richard H.; Eskow, Elizabeth; van der Hoek, André; Schnabel, Robert B.; Shao, Chung-Shang; Zou, Zhihong 2 1996 An extension of Curry’s theorem to steepest descent in normed linear spaces. Zbl 0317.90048Byrd, R. H.; Tapia, R. A. 2 1975 Local convergence of the diagonalized method of multipliers. Zbl 0373.90069Byrd, R. H. 2 1978 Algorithms for robust regression. Zbl 0545.65100Byrd, R. H. 2 1982 Minimum-loop realization of degree sequences. Zbl 0484.05056Goldman, A. J.; Byrd, R. H. 1 1982 An active-set algorithm for nonlinear programming using parametric linear programming. Zbl 1226.90138Byrd, Richard H.; Waltz, Richard A. 1 2011 Predicting protein tertiary structure using a global optimization algorithm with smoothing. Zbl 0958.92012Azmi, Aqil; Byrd, Richard H.; Eskow, Elizabeth; Schnabel, Robert B.; Crivelli, Silvia; Philip, Thomas M.; Head-Gordon, Teresa 1 2000 Global optimization for molecular clusters using a new smoothing approach. Zbl 0884.65062Shao, C.-S.; Byrd, R. H.; Eskow, E.; Schnabel, R. B. 1 1997 A parallel gobal optimization method for solving molecular cluster and polymer conformation problems. Zbl 0835.92014Byrd, Richard H.; Eskow, Elizabeth; van der Hoek, André; Schnabel, Robert B.; Oldenkamp, Klaas P. B. 1 1995 On the use of piecewise linear models in nonlinear programming. Zbl 1260.49059Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.; Wu, Yuchen 1 2013 Adaptive, limited-memory BFGS algorithms for unconstrained optimization. Zbl 1431.65082Boggs, Paul T.; Byrd, Richard H. 1 2019 Derivative-free optimization of noisy functions via quasi-Newton methods. Zbl 1411.90359Berahas, Albert S.; Byrd, Richard H.; Nocedal, Jorge 6 2019 Adaptive, limited-memory BFGS algorithms for unconstrained optimization. Zbl 1431.65082Boggs, Paul T.; Byrd, Richard H. 1 2019 Adaptive sampling strategies for stochastic optimization. Zbl 1461.65131Bollapragada, Raghu; Byrd, Richard; Nocedal, Jorge 7 2018 A stochastic quasi-Newton method for large-scale optimization. Zbl 1382.65166Byrd, R. H.; Hansen, S. L.; Nocedal, Jorge; Singer, Y. 36 2016 An inexact successive quadratic approximation method for L-1 regularized optimization. Zbl 1342.49037Byrd, Richard H.; Nocedal, Jorge; Oztoprak, Figen 24 2016 A family of second-order methods for convex \(\ell _1\)-regularized optimization. Zbl 1350.49046Byrd, Richard H.; Chin, Gillian M.; Nocedal, Jorge; Oztoprak, Figen 20 2016 An algorithm for quadratic \(\ell_1\)-regularized optimization with a flexible active-set strategy. Zbl 1328.90097Solntsev, Stefan; Nocedal, Jorge; Byrd, Richard H. 8 2015 On the use of piecewise linear models in nonlinear programming. Zbl 1260.49059Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.; Wu, Yuchen 1 2013 Sample size selection in optimization methods for machine learning. Zbl 1252.49044Byrd, Richard H.; Chin, Gillian M.; Nocedal, Jorge; Wu, Yuchen 43 2012 A line search exact penalty method using steering rules. Zbl 1254.90221Byrd, Richard H.; Lopez-Calva, Gabriel; Nocedal, Jorge 23 2012 On the use of stochastic Hessian information in optimization methods for machine learning. Zbl 1245.65062Byrd, Richard H.; Chin, Gillian M.; Neveitt, Will; Nocedal, Jorge 32 2011 An active-set algorithm for nonlinear programming using parametric linear programming. Zbl 1226.90138Byrd, Richard H.; Waltz, Richard A. 1 2011 Infeasibility detection and SQP methods for nonlinear optimization. Zbl 1211.90179Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge 25 2010 An inexact Newton method for nonconvex equality constrained optimization. Zbl 1184.90127Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge 15 2010 Pearls of functional algorithm design. Zbl 1229.68026Bird, Richard 5 2010 An inexact SQP method for equality constrained optimization. Zbl 1158.49035Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge 22 2008 Steering exact penalty methods for nonlinear programming. Zbl 1211.90224Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A. 22 2008 KNITRO: an integrated package for nonlinear optimization. Zbl 1108.90004Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A. 95 2006 Parallel full space SQP Lagrange-Newton-Krylov-Schwarz algorithms for PDE-constrained optimization problems. Zbl 1092.49024Prudencio, Ernesto E.; Byrd, Richard; Cai, Xiao-Chuan 13 2006 On the convergence of successive linear-quadratic programming algorithms. Zbl 1092.90061Byrd, Richard H.; Gould, Nicholas I. M.; Nocedal, Jorge; Waltz, Richard A. 14 2005 On the convergence of Newton iterations to non-stationary points. Zbl 1072.90038Byrd, Richard H.; Marazzi, Marcelo; Nocedal, Jorge 25 2004 An algorithm for nonlinear optimization using linear programming and equality constrained subproblems. Zbl 1146.90513Byrd, Richard H.; Gould, Nicholas I. M.; Nocedal, Jorge; Waltz, Richard A. 16 2004 An optimization approach to the problem of protein structure prediction. Zbl 1074.92011Eskow, Elizabeth; Bader, Brett; Byrd, Richard; Crivelli, Silvia; Head-Gordon, Teresa; Lamberti, Vincent; Schnabel, Robert 3 2004 Feasible interior methods using slacks for nonlinear optimization. Zbl 1053.90119Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A. 10 2003 A trust region method based on interior point techniques for nonlinear programming. Zbl 1033.90152Byrd, Richard H.; Gilbert, Jean Charles; Nocedal, Jorge 89 2000 Global optimization for molecular clusters using a new smoothing approach. Zbl 0962.90052Shao, Chung-Shang; Byrd, Richard; Eskow, Elizabeth; Schnabel, Robert B. 4 2000 Predicting protein tertiary structure using a global optimization algorithm with smoothing. Zbl 0958.92012Azmi, Aqil; Byrd, Richard H.; Eskow, Elizabeth; Schnabel, Robert B.; Crivelli, Silvia; Philip, Thomas M.; Head-Gordon, Teresa 1 2000 An interior point algorithm for large-scale nonlinear programming. Zbl 0957.65057Byrd, Richard H.; Hribar, Mary E.; Nocedal, Jorge 131 1999 Practical update criteria for reduced Hessian SQP: Global analysis. Zbl 0963.90073Xie, Y. F.; Byrd, R. H. 4 1999 On the local behaviour of an interior point method for nonlinear programming. Zbl 0902.65021Byrd, R. H.; Liu, Guanghui; Nocedal, J. 16 1998 Algorithm 778: L-BFGS-B Fortran subroutines for large-scale bound-constrained optimization. Zbl 0912.65057Zhu, Ciyou; Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge 136 1997 A stochastic/perturbation global optimization algorithm for distance geometry problems. Zbl 0891.90173Zou, Zhihong; Bird, Richard H.; Schnabel, Robert B. 10 1997 Global optimization for molecular clusters using a new smoothing approach. Zbl 0884.65062Shao, C.-S.; Byrd, R. H.; Eskow, E.; Schnabel, R. B. 1 1997 Analysis of a symmetric rank-one trust region method. Zbl 0923.65035Byrd, Richard H.; Khalfan, Humaid Fayez; Schnabel, Robert B. 17 1996 Towards a discrete Newton method with memory for large-scale optimization. Zbl 0976.90100Byrd, Richard H.; Nocedal, Jorge; Zhu, Ciyou 8 1996 Global optimization methods for protein folding problems. Zbl 0834.92010Byrd, Richard H.; Eskow, Elizabeth; van der Hoek, André; Schnabel, Robert B.; Shao, Chung-Shang; Zou, Zhihong 2 1996 A limited memory algorithm for bound constrained optimization. Zbl 0836.65080Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge; Zhu, Ciyou 348 1995 Non-quasi-Newton updates for unconstrained optimization. Zbl 0823.65062Yuan, Yaxiang; Byrd, Richard H. 18 1995 A parallel gobal optimization method for solving molecular cluster and polymer conformation problems. Zbl 0835.92014Byrd, Richard H.; Eskow, Elizabeth; van der Hoek, André; Schnabel, Robert B.; Oldenkamp, Klaas P. B. 1 1995 Representations of quasi-Newton matrices and their use in limited memory methods. Zbl 0809.90116Byrd, Richard H.; Nocedal, Jorge; Schnabel, Robert B. 121 1994 A theoretical and experimental study of the symmetric rank-one update. Zbl 0771.65029Fayez Khalfan, H.; Byrd, R. H.; Schnabel, R. B. 27 1993 Parallel global optimization: numerical methods, dynamic scheduling methods, and application to molecular configuration. Zbl 1253.90210Byrd, Richard H.; Eskow, Elizabeth; Schnabel, Robert B.; Smith, Sharon L. 6 1993 On the behavior of Broyden’s class of quasi-Newton methods. Zbl 0770.90063Byrd, Richard H.; Liu, Dong C.; Nocedal, Jorge 29 1992 An SQP augmented Lagrangian BFGS algorithm for constrained optimization. Zbl 0773.90065Byrd, R. H.; Tapia, R. A.; Zhang, Yin 13 1992 Parallel methods for solving nonlinear block bordered systems of equations. Zbl 0757.65064Zhang, Xiaodong; Byrd, Richard H.; Schnabel, Robert B. 6 1992 An analysis of reduced Hessian methods for constrained optimization. Zbl 0719.90071Byrd, Richard H.; Nocedal, Jorge 15 1991 Concurrent stochastic methods for global optimization. Zbl 0693.90081Byrd, Richard H.; Dert, Cornelius L.; Rinnooy Kan, Alexander H. G.; Schnabel, Robert B. 9 1990 On the convergence of constrained optimization methods with accurate Hessian information on a subspace. Zbl 0689.65041Byrd, Richard H. 5 1990 A tool for the analysis of quasi-Newton methods with application to unconstrained minimization. Zbl 0676.65061Byrd, Richard H.; Nocedal, Jorge 122 1989 Algorithm 676: ODRPACK: Software for weighted orthogonal distance regression. Zbl 0900.65400Boggs, Paul T.; Donaldson, Janet R.; Byrd, Richard H.; Schnabel, Robert B. 8 1989 Approximate solution of the trust region problem by minimization over two-dimensional subspaces. Zbl 0652.90082Byrd, Richard H.; Schnabel, Robert B.; Shultz, Gerald A. 44 1988 Parallel quasi-Newton methods for unconstrained optimization. Zbl 0665.90085Byrd, Richard H.; Schnabel, Robert B.; Shultz, Gerald A. 15 1988 Global convergence of a class of quasi-Newton methods on convex problems. Zbl 0657.65083Byrd, Richard H.; Nocedal, Jorge; Yuan, Yaxiang 101 1987 A trust region algorithm for nonlinearly constrained optimization. Zbl 0631.65068Byrd, Richard H.; Schnabel, Robert B.; Shultz, Gerald A. 64 1987 A stable and efficient algorithm for nonlinear orthogonal distance regression. Zbl 0637.65150Boggs, Paul T.; Byrd, Richard H.; Schnabel, Robert B. 28 1987 Recognizing unbounded integer programs. Zbl 0614.90080Byrd, R. H.; Goldman, A. J.; Heller, Miriam 3 1987 Continuity of the null space basis and constrained optimization. Zbl 0598.90072Byrd, Richard H.; Schnabel, Robert B. 18 1986 A family of trust-region-based algorithms for unconstrained minimization with strong global convergence properties. Zbl 0574.65061Shultz, Gerald A.; Schnabel, Robert B.; Byrd, Richard H. 79 1985 An example of irregular convergence in some constrained optimization methods that use the projected Hessian. Zbl 0576.90079Byrd, Richard H. 7 1985 Numerical optimization 1984. (Proceedings of the SIAM Conference on Numerical Optimization, Boulder, Colorado, June 12-14, 1984). Zbl 0552.00011Boggs, Paul T.; Byrd, Richard H.; Schnabel, Robert B. 3 1985 Algorithms for robust regression. Zbl 0545.65100Byrd, R. H. 2 1982 Minimum-loop realization of degree sequences. Zbl 0484.05056Goldman, A. J.; Byrd, R. H. 1 1982 A stochastic framework for recursive computation of spline functions. II: Smoothing splines. Zbl 0397.65008Weinert, H. L.; Byrd, R. H.; Sidhu, G. S. 11 1980 Local convergence of the diagonalized method of multipliers. Zbl 0373.90069Byrd, R. H. 2 1978 Programs and machines. An introduction to the theory of computation. Zbl 0357.68006Bird, Richard 3 1976 An extension of Curry’s theorem to steepest descent in normed linear spaces. Zbl 0317.90048Byrd, R. H.; Tapia, R. A. 2 1975 all cited Publications top 5 cited Publications all top 5 Cited by 2,514 Authors 22 Nocedal, Jorge 20 Zhu, Detong 19 Wei, Zengxin 18 Leong, Wah June 18 Yuan, Ya-xiang 17 Byrd, Richard H. 17 Curtis, Frank E. 17 Yuan, Gonglin 15 Lukšan, Ladislav 14 Al-Baali, Mehiddin 13 Robinson, Daniel P. 12 Li, Donghui 11 Martínez, José Mario 10 Marcia, Roummel F. 10 Orban, Dominique 10 Xiao, Yunhai 9 Armand, Paul 9 Jukić, Dragan 9 Pu, Dingguo 9 Sandu, Adrian 9 Wächter, Andreas 9 Zhang, Jianzhong 8 Chen, Zhongwen 8 Dai, Yu-Hong 8 Erway, Jennifer B. 8 Qu, Shaojian 8 Toint, Philippe L. 7 Babaie-Kafaki, Saman 7 Biegler, Lorenz T. 7 Gilbert, Jean Charles 7 Gómez, Héctor W. 7 Lucidi, Stefano 7 Vlček, Jan 6 Ahookhosh, Masoud 6 Amini, Keyvan 6 Andrei, Neculai 6 Birgin, Ernesto G. 6 Goldfarb, Donald 6 Gould, Nicholas Ian Mark 6 Kanzow, Christian 6 Kimiaei, Morteza 6 Krejić, Nataša 6 Ni, Qin 6 Öztoprak, Figen 6 Petra, Cosmin G. 6 Sun, Wenyu 6 Wang, Xiao 6 Watson, G. Alistair 6 Zhang, Hongchao 6 Zhang, Kecun 6 Zhou, Weijun 5 Absil, Pierre-Antoine 5 Bolfarine, Heleno 5 Brust, Johannes J. 5 Cheng, Wanyou 5 Genç, Ali İ. 5 Han, Jiye 5 Hassan, Malik Abu 5 Karmitsa, Napsu 5 Leyffer, Sven 5 Liu, Taowen 5 Lu, Xiwen 5 Mäkelä, Marko Mikael 5 Mittal, Sanjay 5 Polak, Elijah (Lucien) 5 Qi, Liqun 5 Scheinberg, Katya 5 Schmidt, Martin 5 Schnabel, Robert B. 5 Scitovski, Rudolf 5 Wen, Zaiwen 4 Bagirov, Adil M. 4 Bellavia, Stefania 4 Benoist, Joël 4 Bermúdez, José D. 4 Coleman, Thomas F. 4 D’Apuzzo, Marco 4 De Simone, Valentina 4 di Serafino, Daniela 4 El-Alem, Mahmoud M. 4 Fukushima, Masao 4 Gallivan, Kyle A. 4 Gratton, Serge 4 Groenwold, Albert A. 4 Gu, Chao 4 Haber, Eldad 4 Herty, Michael Matthias 4 Huang, Wen 4 Kirches, Christian 4 Klar, Axel 4 Krklec Jerinkić, Nataša 4 Liu, Xinwei 4 Lu, Zhaosong 4 Moguerza, Javier M. 4 Oberai, Assad A. 4 Omheni, Riadh 4 Ou, Yigui 4 Pan, Shaohua 4 Pang, Jong-Shi 4 Pewsey, Arthur ...and 2,414 more Authors all top 5 Cited in 272 Serials 89 Computational Optimization and Applications 80 Mathematical Programming. Series A. Series B 73 Journal of Optimization Theory and Applications 72 Optimization Methods & Software 58 Journal of Computational and Applied Mathematics 54 SIAM Journal on Optimization 43 Applied Mathematics and Computation 32 Computer Methods in Applied Mechanics and Engineering 29 Journal of Global Optimization 28 Journal of Computational Physics 28 Optimization 27 Numerical Algorithms 26 European Journal of Operational Research 23 Computers & Mathematics with Applications 20 Optimization and Engineering 18 SIAM Journal on Scientific Computing 18 Optimization Letters 15 Computational Statistics and Data Analysis 13 Applied Mathematical Modelling 12 Journal of Applied Mathematics and Computing 11 Numerical Functional Analysis and Optimization 11 Machine Learning 11 Quantitative Finance 10 Acta Mathematicae Applicatae Sinica. English Series 10 Mathematical Problems in Engineering 10 Mathematical Methods of Operations Research 9 BIT 9 Mathematics and Computers in Simulation 9 Annals of Operations Research 9 Journal of Machine Learning Research (JMLR) 8 Inverse Problems 8 Biometrics 8 Applied Numerical Mathematics 8 Neural Computation 8 International Journal of Computer Mathematics 8 Mathematical Programming Computation 7 Computing 7 Kybernetika 7 Numerische Mathematik 7 Asia-Pacific Journal of Operational Research 7 SIAM Journal on Matrix Analysis and Applications 7 Journal of Statistical Computation and Simulation 7 SIAM Review 7 Computational and Applied Mathematics 7 Abstract and Applied Analysis 7 International Journal of Applied Mathematics and Computer Science 6 Computers and Fluids 6 Journal of Fluid Mechanics 6 Journal of Multivariate Analysis 6 Journal of Statistical Planning and Inference 6 Operations Research 6 Computational Mechanics 6 Communications in Statistics. Theory and Methods 6 Applied Mathematics. Series B (English Edition) 6 Journal of Applied Statistics 6 Computational Geosciences 6 Structural and Multidisciplinary Optimization 6 Journal of Industrial and Management Optimization 6 Journal of Theoretical Biology 6 SIAM/ASA Journal on Uncertainty Quantification 5 Journal of Mathematical Analysis and Applications 5 Psychometrika 5 Mathematics of Computation 5 Applied Mathematics and Optimization 5 Calcolo 5 Applied Mathematics Letters 5 Journal of Scientific Computing 5 Chaos 5 Inverse Problems in Science and Engineering 5 Science China. Mathematics 4 International Journal of Control 4 Automatica 4 International Journal for Numerical Methods in Engineering 4 Mathematics of Operations Research 4 Operations Research Letters 4 Computers & Operations Research 4 Mathematical and Computer Modelling 4 Computational Statistics 4 Linear Algebra and its Applications 4 Statistical Papers 4 Journal of Systems Science and Complexity 4 Journal of Applied Mathematics 4 4OR 4 Journal of the Korean Statistical Society 4 AStA. Advances in Statistical Analysis 4 The Annals of Applied Statistics 4 Statistics and Computing 3 International Journal for Numerical Methods in Fluids 3 Annals of the Institute of Statistical Mathematics 3 Journal of Econometrics 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Japan Journal of Industrial and Applied Mathematics 3 Automation and Remote Control 3 Journal of Mathematical Imaging and Vision 3 Cybernetics and Systems Analysis 3 International Journal of Computer Vision 3 Annals of Mathematics and Artificial Intelligence 3 Journal of Inequalities and Applications 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Acta Mathematica Sinica. English Series ...and 172 more Serials all top 5 Cited in 45 Fields 945 Operations research, mathematical programming (90-XX) 663 Numerical analysis (65-XX) 236 Statistics (62-XX) 208 Calculus of variations and optimal control; optimization (49-XX) 120 Computer science (68-XX) 73 Biology and other natural sciences (92-XX) 53 Mechanics of deformable solids (74-XX) 52 Fluid mechanics (76-XX) 48 Systems theory; control (93-XX) 47 Partial differential equations (35-XX) 46 Probability theory and stochastic processes (60-XX) 38 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 25 Information and communication theory, circuits (94-XX) 24 Geophysics (86-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 13 Ordinary differential equations (34-XX) 13 Dynamical systems and ergodic theory (37-XX) 9 Approximations and expansions (41-XX) 8 Classical thermodynamics, heat transfer (80-XX) 6 Combinatorics (05-XX) 6 Mechanics of particles and systems (70-XX) 6 Optics, electromagnetic theory (78-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Special functions (33-XX) 4 Operator theory (47-XX) 4 Differential geometry (53-XX) 3 Measure and integration (28-XX) 3 Integral equations (45-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Relativity and gravitational theory (83-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year