Edit Profile (opens in new tab) Byrd, Richard H. Compute Distance To: Compute Author ID: byrd.richard-h Published as: Byrd, Richard H.; Byrd, R. H.; Byrd, Richard; Bird, Richard H. more...less Documents Indexed: 78 Publications since 1975, including 2 Books 1 Contribution as Editor Co-Authors: 55 Co-Authors with 68 Joint Publications 668 Co-Co-Authors all top 5 Co-Authors 7 single-authored 34 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 Xie, 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, Dongchang 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 Shi, Hao-Jun Michael 1 Sidhu, Gursharan Singh 1 Smith, Sharon L. 1 Solntsev, Stefan 1 Thompson, James R. 1 Weinert, Howard L. 1 Zhang, Yin all top 5 Serials 17 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 62 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 70 Publications have been cited 2,358 times in 1,726 Documents Cited by ▼ Year ▼ A limited memory algorithm for bound constrained optimization. Zbl 0836.65080Byrd, Richard H.; Lu, Peihuang; Nocedal, Jorge; Zhu, Ciyou 453 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 168 1997 An interior point algorithm for large-scale nonlinear programming. Zbl 0957.65057Byrd, Richard H.; Hribar, Mary E.; Nocedal, Jorge 153 1999 Representations of quasi-Newton matrices and their use in limited memory methods. Zbl 0809.90116Byrd, Richard H.; Nocedal, Jorge; Schnabel, Robert B. 143 1994 A tool for the analysis of quasi-Newton methods with application to unconstrained minimization. Zbl 0676.65061Byrd, Richard H.; Nocedal, Jorge 139 1989 KNITRO: an integrated package for nonlinear optimization. Zbl 1108.90004Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A. 117 2006 Global convergence of a class of quasi-Newton methods on convex problems. Zbl 0657.65083Byrd, Richard H.; Nocedal, Jorge; Yuan, Yaxiang 110 1987 A trust region method based on interior point techniques for nonlinear programming. Zbl 1033.90152Byrd, Richard H.; Gilbert, Jean Charles; Nocedal, Jorge 104 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. 84 1985 A trust region algorithm for nonlinearly constrained optimization. Zbl 0631.65068Byrd, Richard H.; Schnabel, Robert B.; Shultz, Gerald A. 71 1987 A stochastic quasi-Newton method for large-scale optimization. Zbl 1382.65166Byrd, R. H.; Hansen, S. L.; Nocedal, Jorge; Singer, Y. 61 2016 Sample size selection in optimization methods for machine learning. Zbl 1252.49044Byrd, Richard H.; Chin, Gillian M.; Nocedal, Jorge; Wu, Yuchen 54 2012 Approximate solution of the trust region problem by minimization over two-dimensional subspaces. Zbl 0652.90082Byrd, Richard H.; Schnabel, Robert B.; Shultz, Gerald A. 48 1988 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 41 2011 A theoretical and experimental study of the symmetric rank-one update. Zbl 0771.65029Fayez Khalfan, H.; Byrd, R. H.; Schnabel, R. B. 33 1993 On the behavior of Broyden’s class of quasi-Newton methods. Zbl 0770.90063Byrd, Richard H.; Liu, Dong C.; Nocedal, Jorge 30 1992 A stable and efficient algorithm for nonlinear orthogonal distance regression. Zbl 0637.65150Boggs, Paul T.; Byrd, Richard H.; Schnabel, Robert B. 30 1987 Steering exact penalty methods for nonlinear programming. Zbl 1211.90224Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A. 29 2008 An inexact successive quadratic approximation method for L-1 regularized optimization. Zbl 1342.49037Byrd, Richard H.; Nocedal, Jorge; Oztoprak, Figen 29 2016 Infeasibility detection and SQP methods for nonlinear optimization. Zbl 1211.90179Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge 28 2010 An inexact SQP method for equality constrained optimization. Zbl 1158.49035Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge 26 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 26 2016 A line search exact penalty method using steering rules. Zbl 1254.90221Byrd, Richard H.; Lopez-Calva, Gabriel; Nocedal, Jorge 26 2012 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. 21 2004 On the local behaviour of an interior point method for nonlinear programming. Zbl 0902.65021Byrd, R. H.; Liu, Guanghui; Nocedal, J. 19 1998 Non-quasi-Newton updates for unconstrained optimization. Zbl 0823.65062Yuan, Yaxiang; Byrd, Richard H. 18 1995 Analysis of a symmetric rank-one trust region method. Zbl 0923.65035Byrd, Richard H.; Khalfan, Humaid Fayez; Schnabel, Robert B. 18 1996 Continuity of the null space basis and constrained optimization. Zbl 0598.90072Byrd, Richard H.; Schnabel, Robert B. 18 1986 An inexact Newton method for nonconvex equality constrained optimization. Zbl 1184.90127Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge 18 2010 Parallel full space SQP Lagrange-Newton-Krylov-Schwarz algorithms for PDE-constrained optimization problems. Zbl 1092.49024Prudencio, Ernesto E.; Byrd, Richard; Cai, Xiao-Chuan 17 2006 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. 15 2005 An analysis of reduced Hessian methods for constrained optimization. Zbl 0719.90071Byrd, Richard H.; Nocedal, Jorge 15 1991 An SQP augmented Lagrangian BFGS algorithm for constrained optimization. Zbl 0773.90065Byrd, R. H.; Tapia, R. A.; Zhang, Yin 14 1992 Derivative-free optimization of noisy functions via quasi-Newton methods. Zbl 1411.90359Berahas, Albert S.; Byrd, Richard H.; Nocedal, Jorge 12 2019 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 Adaptive sampling strategies for stochastic optimization. Zbl 1461.65131Bollapragada, Raghu; Byrd, Richard; Nocedal, Jorge 10 2018 Exact and inexact subsampled Newton methods for optimization. Zbl 1462.65077Bollapragada, Raghu; Byrd, Richard H.; Nocedal, Jorge 10 2019 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 An algorithm for quadratic \(\ell_1\)-regularized optimization with a flexible active-set strategy. Zbl 1328.90097Solntsev, Stefan; Nocedal, Jorge; Byrd, Richard H. 10 2015 Concurrent stochastic methods for global optimization. Zbl 0693.90081Byrd, Richard H.; Dert, Cornelius L.; Rinnooy Kan, Alexander H. G.; Schnabel, Robert B. 9 1990 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 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 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 Global optimization for molecular clusters using a new smoothing approach. Zbl 0962.90052Shao, Chung-Shang; Byrd, Richard; Eskow, Elizabeth; Schnabel, Robert B. 4 2000 Practical update criteria for reduced Hessian SQP: Global analysis. Zbl 0963.90073Xie, Y. F.; Byrd, R. H. 4 1999 Programs and machines. An introduction to the theory of computation. Zbl 0357.68006Bird, Richard 3 1976 Numerical optimization 1984. (Proceedings of the SIAM Conference on Numerical Optimization, Boulder, Colorado, June 12-14, 1984). Zbl 0552.00011 3 1985 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 Recognizing unbounded integer programs. Zbl 0614.90080Byrd, R. H.; Goldman, A. J.; Heller, Miriam 3 1987 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 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 How to calculate with nondeterministic functions. Zbl 1434.68078Bird, Richard; Rabe, Florian 2 2019 Analysis of the BFGS method with errors. Zbl 1435.90149Xie, Yuchen; Byrd, Richard H.; Nocedal, Jorge 2 2020 Adaptive, limited-memory BFGS algorithms for unconstrained optimization. Zbl 1431.65082Boggs, Paul T.; Byrd, Richard H. 2 2019 An extension of Curry’s theorem to steepest descent in normed linear spaces. Zbl 0317.90048Byrd, R. H.; Tapia, R. A. 2 1975 On the use of piecewise linear models in nonlinear programming. Zbl 1260.49059Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.; Wu, Yuchen 2 2013 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 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 An active-set algorithm for nonlinear programming using parametric linear programming. Zbl 1226.90138Byrd, Richard H.; Waltz, Richard A. 1 2011 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 Minimum-loop realization of degree sequences. Zbl 0484.05056Goldman, A. J.; Byrd, R. H. 1 1982 A noise-tolerant quasi-Newton algorithm for unconstrained optimization. Zbl 1484.90117Shi, Hao-Jun M.; Xie, Yuchen; Byrd, Richard; Nocedal, Jorge 1 2022 A noise-tolerant quasi-Newton algorithm for unconstrained optimization. Zbl 1484.90117Shi, Hao-Jun M.; Xie, Yuchen; Byrd, Richard; Nocedal, Jorge 1 2022 Analysis of the BFGS method with errors. Zbl 1435.90149Xie, Yuchen; Byrd, Richard H.; Nocedal, Jorge 2 2020 Derivative-free optimization of noisy functions via quasi-Newton methods. Zbl 1411.90359Berahas, Albert S.; Byrd, Richard H.; Nocedal, Jorge 12 2019 Exact and inexact subsampled Newton methods for optimization. Zbl 1462.65077Bollapragada, Raghu; Byrd, Richard H.; Nocedal, Jorge 10 2019 How to calculate with nondeterministic functions. Zbl 1434.68078Bird, Richard; Rabe, Florian 2 2019 Adaptive, limited-memory BFGS algorithms for unconstrained optimization. Zbl 1431.65082Boggs, Paul T.; Byrd, Richard H. 2 2019 Adaptive sampling strategies for stochastic optimization. Zbl 1461.65131Bollapragada, Raghu; Byrd, Richard; Nocedal, Jorge 10 2018 A stochastic quasi-Newton method for large-scale optimization. Zbl 1382.65166Byrd, R. H.; Hansen, S. L.; Nocedal, Jorge; Singer, Y. 61 2016 An inexact successive quadratic approximation method for L-1 regularized optimization. Zbl 1342.49037Byrd, Richard H.; Nocedal, Jorge; Oztoprak, Figen 29 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 26 2016 An algorithm for quadratic \(\ell_1\)-regularized optimization with a flexible active-set strategy. Zbl 1328.90097Solntsev, Stefan; Nocedal, Jorge; Byrd, Richard H. 10 2015 On the use of piecewise linear models in nonlinear programming. Zbl 1260.49059Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A.; Wu, Yuchen 2 2013 Sample size selection in optimization methods for machine learning. Zbl 1252.49044Byrd, Richard H.; Chin, Gillian M.; Nocedal, Jorge; Wu, Yuchen 54 2012 A line search exact penalty method using steering rules. Zbl 1254.90221Byrd, Richard H.; Lopez-Calva, Gabriel; Nocedal, Jorge 26 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 41 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 28 2010 An inexact Newton method for nonconvex equality constrained optimization. Zbl 1184.90127Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge 18 2010 Pearls of functional algorithm design. Zbl 1229.68026Bird, Richard 5 2010 Steering exact penalty methods for nonlinear programming. Zbl 1211.90224Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A. 29 2008 An inexact SQP method for equality constrained optimization. Zbl 1158.49035Byrd, Richard H.; Curtis, Frank E.; Nocedal, Jorge 26 2008 KNITRO: an integrated package for nonlinear optimization. Zbl 1108.90004Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A. 117 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 17 2006 On the convergence of successive linear-quadratic programming algorithms. Zbl 1092.90061Byrd, Richard H.; Gould, Nicholas I. M.; Nocedal, Jorge; Waltz, Richard A. 15 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. 21 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 104 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 153 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. 19 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 168 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. 18 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 453 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. 143 1994 A theoretical and experimental study of the symmetric rank-one update. Zbl 0771.65029Fayez Khalfan, H.; Byrd, R. H.; Schnabel, R. B. 33 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 30 1992 An SQP augmented Lagrangian BFGS algorithm for constrained optimization. Zbl 0773.90065Byrd, R. H.; Tapia, R. A.; Zhang, Yin 14 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 139 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. 48 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 110 1987 A trust region algorithm for nonlinearly constrained optimization. Zbl 0631.65068Byrd, Richard H.; Schnabel, Robert B.; Shultz, Gerald A. 71 1987 A stable and efficient algorithm for nonlinear orthogonal distance regression. Zbl 0637.65150Boggs, Paul T.; Byrd, Richard H.; Schnabel, Robert B. 30 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. 84 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 0552.00011 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 3,079 Authors 24 Nocedal, Jorge 21 Yuan, Gonglin 20 Zhu, Detong 19 Curtis, Frank E. 19 Leong, Wah June 19 Wei, Zengxin 19 Yuan, Ya-xiang 18 Byrd, Richard H. 16 Lukšan, Ladislav 14 Al-Baali, Mehiddin 14 Li, Donghui 13 Robinson, Daniel P. 11 Marcia, Roummel F. 11 Martínez, José Mario 10 Babaie-Kafaki, Saman 10 Chen, Zhongwen 10 Orban, Dominique 10 Xiao, Yunhai 9 Armand, Paul 9 Jukić, Dragan 9 Kimiaei, Morteza 9 Pu, Dingguo 9 Sandu, Adrian 9 Wächter, Andreas 9 Zhang, Jianzhong 8 Andrei, Neculai 8 Dai, Yu-Hong 8 Erway, Jennifer B. 8 Leyffer, Sven 8 Qu, Shaojian 8 Toint, Philippe L. 8 Vlček, Jan 8 Wen, Zaiwen 7 Biegler, Lorenz T. 7 Genç, Ali İ. 7 Gilbert, Jean Charles 7 Gómez, Héctor Wladimir 7 Krejić, Nataša 7 Lucidi, Stefano 7 Ni, Qin 7 Petra, Cosmin G. 7 Zhou, Weijun 6 Ahookhosh, Masoud 6 Amini, Keyvan 6 Bellavia, Stefania 6 Berahas, Albert S. 6 Birgin, Ernesto G. 6 Brust, Johannes J. 6 Goldfarb, Donald 6 Gould, Nicholas Ian Mark 6 Kanzow, Christian 6 Li, Pengyuan 6 Öztoprak, Figen 6 Scheinberg, Katya 6 Schmidt, Martin 6 Shen, Chungen 6 Sun, Wenyu 6 Tapia, Richard A. 6 Wang, Xiao 6 Watson, G. Alistair 6 Yu, Zhensheng 6 Zhang, Hongchao 6 Zhang, Kecun 5 Absil, Pierre-Antoine 5 Bolfarine, Heleno 5 Cheng, Wanyou 5 di Serafino, Daniela 5 Gallivan, Kyle A. 5 Ghosh, Sujit Kumar 5 Haber, Eldad 5 Han, Jiye 5 Hassan, Malik Abu 5 Huang, Wen 5 Karmitsa, Napsu 5 Karniadakis, George Em 5 Kirches, Christian 5 Liu, Taowen 5 Lu, Xiwen 5 Mäkelä, Marko Mikael 5 Mittal, Sanjay 5 Pang, Jong-Shi 5 Polak, Elijah (Lucien) 5 Qi, Liqun 5 Schnabel, Robert B. 5 Scitovski, Rudolf 5 Shanbhag, Uday V. 5 Zhang, Xiangsun 4 Aminifard, Zohre 4 Bagirov, Adil M. 4 Benoist, Joël 4 Bermúdez, José D. 4 Chen, Chuei Yee 4 Coleman, Thomas F. 4 Constantinescu, Emil M. 4 D’Amore, Luisa 4 D’Apuzzo, Marco 4 De Simone, Valentina 4 El-Alem, Mahmoud M. 4 Fukushima, Masao 4 Gaudioso, Manlio ...and 2,979 more Authors all top 5 Cited in 313 Serials 95 Computational Optimization and Applications 85 Mathematical Programming. Series A. Series B 80 Optimization Methods & Software 77 Journal of Optimization Theory and Applications 63 Journal of Computational and Applied Mathematics 63 SIAM Journal on Optimization 45 Applied Mathematics and Computation 41 Computer Methods in Applied Mechanics and Engineering 40 Journal of Computational Physics 31 European Journal of Operational Research 30 Numerical Algorithms 29 Optimization 29 Journal of Global Optimization 25 Computers & Mathematics with Applications 25 SIAM Journal on Scientific Computing 25 Optimization and Engineering 19 Optimization Letters 17 Computational Statistics and Data Analysis 14 Applied Mathematical Modelling 13 Annals of Operations Research 13 Quantitative Finance 13 Journal of Applied Mathematics and Computing 12 Machine Learning 12 Journal of Applied Statistics 12 Journal of Machine Learning Research (JMLR) 11 Numerical Functional Analysis and Optimization 11 Acta Mathematicae Applicatae Sinica. English Series 11 Journal of Industrial and Management Optimization 11 Mathematical Programming Computation 10 Mathematics and Computers in Simulation 10 Applied Numerical Mathematics 10 Communications in Statistics. Theory and Methods 10 International Journal of Computer Mathematics 10 Mathematical Problems in Engineering 10 Mathematical Methods of Operations Research 9 BIT 9 Communications in Statistics. Simulation and Computation 8 Inverse Problems 8 Journal of Fluid Mechanics 8 Automatica 8 Biometrics 8 Journal of Scientific Computing 8 Neural Computation 8 Computational Statistics 8 Journal of Statistical Computation and Simulation 8 Computational and Applied Mathematics 8 The Annals of Applied Statistics 8 Journal of Computational and Graphical Statistics 8 Statistics and Computing 7 Computers and Fluids 7 Computing 7 Kybernetika 7 Numerische Mathematik 7 Operations Research 7 Computers & Operations Research 7 Computational Mechanics 7 Asia-Pacific Journal of Operational Research 7 SIAM Journal on Matrix Analysis and Applications 7 SIAM Review 7 Abstract and Applied Analysis 7 International Journal of Applied Mathematics and Computer Science 6 Journal of Mathematical Analysis and Applications 6 Psychometrika 6 Applied Mathematics and Optimization 6 Calcolo 6 Journal of Multivariate Analysis 6 Journal of Statistical Planning and Inference 6 Mathematics of Operations Research 6 Applied Mathematics Letters 6 Journal of Mathematical Imaging and Vision 6 Applied Mathematics. Series B (English Edition) 6 International Journal of Computer Vision 6 Journal of Inequalities and Applications 6 Computational Geosciences 6 Structural and Multidisciplinary Optimization 6 Science China. Mathematics 6 Journal of Theoretical Biology 6 SIAM/ASA Journal on Uncertainty Quantification 5 International Journal of Control 5 Physica A 5 Mathematics of Computation 5 INFORMS Journal on Computing 5 Chaos 5 Inverse Problems in Science and Engineering 5 SIAM Journal on Imaging Sciences 4 International Journal for Numerical Methods in Engineering 4 Operations Research Letters 4 Mathematical and Computer Modelling 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 Mathematical Geosciences 4 SIAM Journal on Mathematics of Data Science 3 Artificial Intelligence 3 International Journal for Numerical Methods in Fluids 3 Bulletin of Mathematical Biology ...and 213 more Serials all top 5 Cited in 46 Fields 1,059 Operations research, mathematical programming (90-XX) 748 Numerical analysis (65-XX) 308 Statistics (62-XX) 230 Calculus of variations and optimal control; optimization (49-XX) 169 Computer science (68-XX) 80 Biology and other natural sciences (92-XX) 62 Partial differential equations (35-XX) 62 Mechanics of deformable solids (74-XX) 62 Fluid mechanics (76-XX) 59 Systems theory; control (93-XX) 55 Probability theory and stochastic processes (60-XX) 49 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 Information and communication theory, circuits (94-XX) 30 Geophysics (86-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Ordinary differential equations (34-XX) 10 Approximations and expansions (41-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Combinatorics (05-XX) 7 Mechanics of particles and systems (70-XX) 7 Optics, electromagnetic theory (78-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Quantum theory (81-XX) 5 Differential geometry (53-XX) 4 Measure and integration (28-XX) 4 Special functions (33-XX) 4 Operator theory (47-XX) 3 Integral equations (45-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 Algebraic geometry (14-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