Edit Profile (opens in new tab) Dennis, John E. jun. Compute Distance To: Compute Author ID: dennis.john-e-jun Published as: Dennis, J. E. jun.; Dennis, John E. jun.; Dennis, J. E. more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 81 Publications since 1967, including 3 Books Biographic References: 2 Publications Co-Authors: 65 Co-Authors with 68 Joint Publications 1,228 Co-Co-Authors all top 5 Co-Authors 12 single-authored 13 Audet, Charles 6 Abramson, Mark A. 5 Tapia, Richard A. 4 Le Digabel, Sébastien 4 Schnabel, Robert B. 4 Vicente, Luis Nunes 3 Marsden, Alison L. 3 Martínez, José Mario 3 Moin, Parviz 3 Moré, Jorge J. 3 Walker, Homer F. 3 Wang, Meng 2 Asaki, Thomas J. 2 Brown, Kenneth M. 2 Custódio, Ana Luísa 2 El-Alem, Mahmoud M. 2 Frank, Paul D. 2 Lewis, Robert Michael 2 Pingel, Rachael L. 2 Torczon, Virginia J. 2 Traub, Joseph Frederick 2 Turner, Kathryn 2 Weber, R. P. 2 Welsch, Roy E. 2 Zhang, Xiaodong 1 Alexandrov, Natalia M. 1 Barnhill, Robert E. 1 Bixby, Robert E. 1 Boggs, Paul T. 1 Booker, Andrew J. 1 Brezhneva, Olga A. 1 Broyden, Charles George 1 Celis, M. R. 1 Coope, Ian D. 1 Cramer, Evin J. 1 Das, Indraneel 1 Echebest, Nélida E. 1 Gay, David M. 1 Goldstein, Allen A. 1 Guardarucci, M. T. 1 Heinkenschloss, Matthias 1 Kokkolaras, Michael 1 Li, Guangye 1 Li, Shou-Bai B. 1 Maciel, María Cristina 1 Magallanez, Raymond jun. 1 Martínez, Héctor Jairo 1 Marwil, Earl S. 1 Mei, H. H. W. 1 Morshedi, A. M. 1 Nielson, Gregory M. 1 O’Reilly, Kevin R. 1 Phuong, Anh Vu 1 Price, Christopher John 1 Schäfermeyer, Jan P. 1 Scolnik, Hugo D. 1 Serafini, David B. 1 Sheng, Songbai 1 Shubin, Gregory R. 1 Sottile, Matthew J. 1 Steihaug, Trond 1 Sweet, Roland A. 1 Vacchino, C. 1 Williamson, Karen 1 Wolkowicz, Henry 1 Wu, Zhijun 1 Zhang, Yin all top 5 Serials 17 SIAM Journal on Optimization 10 SIAM Journal on Numerical Analysis 6 Mathematics of Computation 3 Numerische Mathematik 3 SIAM Review 3 Optimization and Engineering 2 Journal of Optimization Theory and Applications 2 Mathematical Programming. Series A. Series B 2 Optimization Methods & Software 1 IMA Journal of Numerical Analysis 1 Journal of Fluid Mechanics 1 Journal of the Institute of Mathematics and its Applications 1 ACM Transactions on Mathematical Software 1 Journal of Computer and System Sciences 1 Mathematical Programming Study 1 Mathematical Programming 1 SIAM Journal on Control and Optimization 1 Journal of Computational Mathematics 1 Communications in Statistics. Simulation and Computation 1 Linear Algebra and its Applications 1 Computational Optimization and Applications 1 Physics of Fluids 1 Structural and Multidisciplinary Optimization 1 Pacific Journal of Optimization 1 Classics in Applied Mathematics 1 SIAM Journal on Imaging Sciences all top 5 Fields 61 Numerical analysis (65-XX) 43 Operations research, mathematical programming (90-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 4 Fluid mechanics (76-XX) 3 Statistics (62-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Number theory (11-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 76 Publications have been cited 3,820 times in 2,715 Documents Cited by ▼ Year ▼ Numerical methods for unconstrained optimization and nonlinear equations. Zbl 0579.65058Dennis, J. E. jun.; Schnabel, Robert B. 759 1983 Numerical methods for unconstrained optimization and nonlinear equations. Repr. Zbl 0847.65038Dennis, J. E. jun.; Schnabel, Robert B. 371 1996 Quasi-Newton methods, motivation and theory. Zbl 0356.65041Dennis, J. E. jun.; More, Jorge J. 335 1977 A characterization of superlinear convergence and its application to quasi-Newton methods. Zbl 0282.65042Dennis, J. E. jun.; More, Jorge J. 218 1974 Mesh adaptive direct search algorithms for constrained optimization. Zbl 1112.90078Audet, Charles; Dennis, J. E. jun. 217 2006 Normal-boundary intersection: A new method for generating the Pareto surface in nonlinear multicriteria optimization problems. Zbl 0911.90287Das, Indraneel; Dennis, J. E. 171 1998 On the local and superlinear convergence of quasi-Newton methods. Zbl 0282.65041Broyden, C. G.; Dennis, J. E. jun.; More, Jorge J. 156 1973 Analysis of generalized pattern searches. Zbl 1053.90118Audet, Charles; Dennis, J. E. jun. 113 2003 A pattern search filter method for nonlinear programming without derivatives. Zbl 1073.90066Audet, Charles; Dennis, J. E. jun. 85 2004 A progressive barrier for derivative-free nonlinear programming. Zbl 1187.90266Audet, Charles; Dennis, J. E. jun. 81 2009 OrthoMADS: A deterministic MADS instance with orthogonal directions. Zbl 1189.90202Abramson, Mark A.; Audet, Charles; Dennis, J. E. jun.; Le Digabel, Sébastien 68 2009 A trust region strategy for nonlinear equality constrained optimization. Zbl 0566.65048Celis, M. R.; Dennis, J. E.; Tapia, R. A. 66 1985 An adaptive nonlinear least-squares algorithm. Zbl 0464.65040Dennis, John E. jun.; Gay, David M.; Welsch, Roy E. 64 1981 The algebraic theory of matrix polynomials. Zbl 0361.15013Dennis, J. E. jun.; Traub, J. F.; Weber, R. P. 56 1976 Least change secant updates for quasi-Newton methods. Zbl 0424.65020Dennis, J. E. jun.; Schnabel, Robert B. 54 1979 Sizing and least-change secant methods. Zbl 0802.65081Dennis, J. E. jun.; Wolkowicz, Henry 53 1993 Convergence theorems for least-change secant update methods. Zbl 0527.65032Dennis, J. E. jun.; Walker, Homer F. 49 1981 A global convergence theory for general trust-region-based algorithms for equality constrained optimization. Zbl 0867.65031Dennis, J. E. jun.; El-Alem, Mahmoud; Maciel, Maria C. 41 1997 Direct search methods on parallel machines. Zbl 0754.90051Dennis, J. E. jun.; Torczon, Virginia 38 1991 Trust-region interior-point SQP algorithms for a class of nonlinear programming problems. Zbl 0921.90137Dennis, J. E.; Heinkenschloss, Matthias; Vicente, Luís N. 36 1998 Two new unconstrained optimization algorithms which use function and gradient values. Zbl 0388.65022Dennis, J. E. jun.; Mei, H. H. W. 35 1979 Pattern search algorithms for mixed variable programming. Zbl 1035.90048Audet, Charles; Dennis, J. E. jun. 35 2000 On Newton-like methods. Zbl 0165.17303Dennis, J. E. jun. 35 1968 Convergence theory for the structured BFGS secant method with an application to nonlinear least squares. Zbl 0645.65026Dennis, J. E. jun.; Martinez, H. J.; Tapia, R. A. 33 1989 Optimal aeroacoustic shape design using the surrogate management framework. Zbl 1116.90417Marsden, Alison L.; Wang, Meng; Dennis, John E. jun.; Moin, Parviz 32 2004 On the Kantorovich hypothesis for Newton’s method. Zbl 0221.65098Dennis, J. E. jun. 30 1969 On the superlinear and quadratic convergence of primal-dual interior point linear programming algorithms. Zbl 0763.90066Zhang, Yin; Tapia, Richard A.; Dennis, John E. jun. 29 1992 Problem formulation for multidisciplinary optimization. Zbl 0818.65055Cramer, Evin J.; Dennis, J. E. jun.; Frank, Paul D.; Lewis, Robert Michael; Shubin, Gregory R. 29 1994 Derivative free analogues of the Levenberg-Marquardt and Gauss algorithms for nonlinear least squares approximation. Zbl 0235.65043Brown, Kenneth M.; Dennis, J. E. jun. 28 1972 Using simplex gradients of nonsmooth functions in direct search methods. Zbl 1156.65059Custódio, A. L.; Dennis, J. E. jun.; Vicente, L. N. 28 2008 A unified approach to global convergence of trust region methods for nonsmooth optimization. Zbl 0835.90086Dennis, John E. jun.; Li, Shou-Bai B.; Tapia, Richard A. 26 1995 Trailing-edge noise reduction using derivative-free optimization and large eddy simulation. Zbl 1145.76044Marsden, Alison L.; Wang, Meng; Dennis, J. E. jun.; Moin, Parviz 26 2007 Toward a unified convergence theory for Newton-like methods. Zbl 0276.65029Dennis, J. E. jun. 26 1971 A trust-region approach to nonlinear systems of equalities and inequalities. Zbl 0957.65058Dennis, J. E. jun.; El-Alem, Mahmoud; Williamson, Karen 25 1999 Parallel space decomposition of the mesh adaptive direct search algorithm. Zbl 1180.90363Audet, Charles; Dennis, J. E. jun.; Le Digabel, Sébastien 25 2008 Globalization strategies for mesh adaptive direct search. Zbl 1190.90204Audet, Charles; Dennis, J. E. jun.; Le Digabel, Sébastien 25 2010 A variable-metric variant of the Karmarkar algorithm for linear programming. Zbl 0635.90058Dennis, J. E. jun.; Morshedi, A. M.; Turner, Kathryn 20 1987 Optimization using surrogate objectives on a helicopter test example. Zbl 0937.76067Booker, Andrew J.; Dennis, J. E. jun.; Frank, Paul D.; Serafini, David B.; Torczon, Virginia 19 1998 Algorithms for solvents of matrix polynomials. Zbl 0386.65012Dennis, J. E. jun.; Traub, J. F.; Weber, R. P. 19 1978 Filter pattern search algorithms for mixed variable constrained optimization problems. Zbl 1138.65043Abramson, Mark A.; Audet, Charles; Dennis, J. E. jun. 18 2007 A stability analysis for perturbed nonlinear iterative methods. Zbl 0337.65032Boggs, Paul T.; Dennis, J. E. jun. 17 1976 Mixed variable optimization of the number and composition of heat intercepts in a thermal insulation system. Zbl 1078.90595Kokkolaras, Michael; Audet, Charles; Dennis, J. E. jun. 16 2001 On the convergence of Broyden’s method for nonlinear systems of equations. Zbl 0277.65030Dennis, J. E. jun. 16 1971 Techniques for nonlinear least squares and robust regression. Zbl 0395.62046Dennis, John E. jun.; Welsch, Roy E. 13 1978 Direct secant updates of matrix factorizations. Zbl 0482.65028Dennis, J. E. jun.; Marwil, Earl S. 13 1982 Trust-region interior-point algorithms for minimization problems with simple bounds. Zbl 0907.65056Dennis, J. E.; Vicente, Luis N. 13 1996 On the convergence theory of trust-region-based algorithms for equality-constrained optimization. Zbl 0891.65073Dennis, J. E.; Vicente, Luís N. 12 1997 Pattern search in the presence of degenerate linear constraints. Zbl 1162.90588Abramson, Mark A.; Brezhneva, Olga A.; Dennis, J. E. jun.; Pingel, Rachael L. 12 2008 Generalized conjugate directions. Zbl 0644.65025Dennis, J. E. jun.; Turner, Kathryn 12 1987 Generalized pattern searches with derivative information. Zbl 1146.90524Abramson, Mark A.; Audet, Charles; Dennis, J. E. jun. 11 2004 Inverse, shifted inverse, and Rayleigh quotient iteration as Newton’s method. Zbl 1382.65105Tapia, Richard A.; Dennis, J. E. jun.; Schäfermeyer, Jan P. 8 2018 A new type of Chebyshev quadrature. Zbl 0176.14302Barnhill, R. E.; Dennis, J. E. jun.; Nielson, G. M. 8 1969 Direct search methods for nonlinearly constrained optimization using filters and frames. Zbl 1085.90054Dennis, John E. jun.; Price, Christopher J.; Coope, Ian D. 7 2004 Numerical methods for unconstrained optimization and nonlinear equations. (Chislennye metody bezuslovnoj optimizatsii i resheniya nelinejnykh uravnenij). Transl. from the English. (Chislennye metody bezuslovnoj optimizatsii i resheniya nelinejnykh uravnenij.) Zbl 0671.65043Dennis, J. E. jun.; Schnabel, Robert B. 7 1988 Inaccuracy in quasi-Newton methods: Local improvement theorems. Zbl 0566.65038Dennis, J. E. jun.; Walker, Homer F. 7 1984 Erratum: Mesh adaptive direct search algorithms for constrained optimization. Zbl 1166.90366Audet, Charles; Custódio, A. L.; Dennis, J. E. jun. 7 2007 Triangular decomposition methods for solving reducible nonlinear systems of equations. Zbl 0814.65050Dennis, J. E. jun.; Martínez, José Mario; Zhang, Xiaodong 7 1994 Quantitative object reconstruction using Abel transform X-ray tomography and mixed variable optimization. Zbl 1177.65200Abramson, Mark A.; Asaki, Thomas J.; Dennis, J. E. jun.; O’Reilly, Kevin R.; Pingel, Rachael L. 6 2008 An efficient class of direct search surrogate methods for solving expensive optimization problems with CPU-time-related functions. Zbl 1274.74006Abramson, Mark A.; Asaki, Thomas J.; Dennis, John E. jun.; Magallanez, Raymond jun.; Sottile, Matthew J. 5 2012 A curvilinear search using tridiagonal secant updates for unconstrained optimization. Zbl 0756.65088Dennis, J. E. jun.; Echebest, N.; Guardarucci, M. T.; Martínez, J. M.; Scolnik, H. D.; Vacchino, C. 5 1991 On the successive projections approach to least-squares problems. Zbl 0614.65059Dennis, J. E. jun.; Steihaug, Trond 5 1986 Suppression of vortex-shedding noise via derivative-free shape optimization. Zbl 1187.76332Marsden, Alison L.; Wang, Meng; Dennis, J. E.; Moin, Parviz 5 2004 On Newton’s method and nonlinear simultaneous displacements. Zbl 0149.36502Dennis, J. E. jun. 4 1967 Least-change sparse secant update methods with inaccurate secant conditions. Zbl 0597.65049Dennis, J. E. jun.; Walker, Homer F. 4 1985 On the convergence of Newton-like methods. Zbl 0252.65045Dennis, J. E. jun. 4 1970 A stationary Newton method for nonlinear functional equations. Zbl 0155.19503Dennis, J. E. jun. 3 1967 On Newton-like iteration functions: General convergence theorems and a specific algorithm. Zbl 0176.13702Brown, K. M.; Dennis, J. E. jun. 3 1968 On some methods based on Broyden’s secant approximation to the Hessian. Zbl 0303.65045Dennis, J. E. jun. 3 1972 Trade-off studies in blackbox optimization. Zbl 1260.90005Audet, Charles; Dennis, J. E. jun.; Le Digabel, Sébastien 2 2012 Multilevel algorithms for nonlinear optimization. Zbl 0834.90112Alexandrov, Natalia; Dennis, J. E. jun. 2 1995 Algorithms for nonlinear fitting. Zbl 0545.65007Dennis, J. E. jun. 2 1982 Cubature and the Tchakaloff cone. Zbl 0194.47201Dennis, J. E.; Goldstein, A. A. 2 1969 Some computational techniques for the nonlinear least squares problem. Zbl 0275.65020Dennis, J. E. jun. 2 1973 A brief introduction to quasi-Newton methods. Zbl 0397.65034Dennis, J. E. jun. 1 1978 Parallel block triangular decompositions for solving sparse nonlinear systems of equations. Zbl 0789.65036Dennis, John E. jun.; Martínez, J. Mario; Zhang, Xiaodong 1 1992 A memoryless augmented Gauss-Newton method for nonlinear least-squares problems. Zbl 0662.65054Dennis, J. E. jun.; Sheng, Song-Bai; Phuong, Anh Vu 1 1988 Inverse, shifted inverse, and Rayleigh quotient iteration as Newton’s method. Zbl 1382.65105Tapia, Richard A.; Dennis, J. E. jun.; Schäfermeyer, Jan P. 8 2018 An efficient class of direct search surrogate methods for solving expensive optimization problems with CPU-time-related functions. Zbl 1274.74006Abramson, Mark A.; Asaki, Thomas J.; Dennis, John E. jun.; Magallanez, Raymond jun.; Sottile, Matthew J. 5 2012 Trade-off studies in blackbox optimization. Zbl 1260.90005Audet, Charles; Dennis, J. E. jun.; Le Digabel, Sébastien 2 2012 Globalization strategies for mesh adaptive direct search. Zbl 1190.90204Audet, Charles; Dennis, J. E. jun.; Le Digabel, Sébastien 25 2010 A progressive barrier for derivative-free nonlinear programming. Zbl 1187.90266Audet, Charles; Dennis, J. E. jun. 81 2009 OrthoMADS: A deterministic MADS instance with orthogonal directions. Zbl 1189.90202Abramson, Mark A.; Audet, Charles; Dennis, J. E. jun.; Le Digabel, Sébastien 68 2009 Using simplex gradients of nonsmooth functions in direct search methods. Zbl 1156.65059Custódio, A. L.; Dennis, J. E. jun.; Vicente, L. N. 28 2008 Parallel space decomposition of the mesh adaptive direct search algorithm. Zbl 1180.90363Audet, Charles; Dennis, J. E. jun.; Le Digabel, Sébastien 25 2008 Pattern search in the presence of degenerate linear constraints. Zbl 1162.90588Abramson, Mark A.; Brezhneva, Olga A.; Dennis, J. E. jun.; Pingel, Rachael L. 12 2008 Quantitative object reconstruction using Abel transform X-ray tomography and mixed variable optimization. Zbl 1177.65200Abramson, Mark A.; Asaki, Thomas J.; Dennis, J. E. jun.; O’Reilly, Kevin R.; Pingel, Rachael L. 6 2008 Trailing-edge noise reduction using derivative-free optimization and large eddy simulation. Zbl 1145.76044Marsden, Alison L.; Wang, Meng; Dennis, J. E. jun.; Moin, Parviz 26 2007 Filter pattern search algorithms for mixed variable constrained optimization problems. Zbl 1138.65043Abramson, Mark A.; Audet, Charles; Dennis, J. E. jun. 18 2007 Erratum: Mesh adaptive direct search algorithms for constrained optimization. Zbl 1166.90366Audet, Charles; Custódio, A. L.; Dennis, J. E. jun. 7 2007 Mesh adaptive direct search algorithms for constrained optimization. Zbl 1112.90078Audet, Charles; Dennis, J. E. jun. 217 2006 A pattern search filter method for nonlinear programming without derivatives. Zbl 1073.90066Audet, Charles; Dennis, J. E. jun. 85 2004 Optimal aeroacoustic shape design using the surrogate management framework. Zbl 1116.90417Marsden, Alison L.; Wang, Meng; Dennis, John E. jun.; Moin, Parviz 32 2004 Generalized pattern searches with derivative information. Zbl 1146.90524Abramson, Mark A.; Audet, Charles; Dennis, J. E. jun. 11 2004 Direct search methods for nonlinearly constrained optimization using filters and frames. Zbl 1085.90054Dennis, John E. jun.; Price, Christopher J.; Coope, Ian D. 7 2004 Suppression of vortex-shedding noise via derivative-free shape optimization. Zbl 1187.76332Marsden, Alison L.; Wang, Meng; Dennis, J. E.; Moin, Parviz 5 2004 Analysis of generalized pattern searches. Zbl 1053.90118Audet, Charles; Dennis, J. E. jun. 113 2003 Mixed variable optimization of the number and composition of heat intercepts in a thermal insulation system. Zbl 1078.90595Kokkolaras, Michael; Audet, Charles; Dennis, J. E. jun. 16 2001 Pattern search algorithms for mixed variable programming. Zbl 1035.90048Audet, Charles; Dennis, J. E. jun. 35 2000 A trust-region approach to nonlinear systems of equalities and inequalities. Zbl 0957.65058Dennis, J. E. jun.; El-Alem, Mahmoud; Williamson, Karen 25 1999 Normal-boundary intersection: A new method for generating the Pareto surface in nonlinear multicriteria optimization problems. Zbl 0911.90287Das, Indraneel; Dennis, J. E. 171 1998 Trust-region interior-point SQP algorithms for a class of nonlinear programming problems. Zbl 0921.90137Dennis, J. E.; Heinkenschloss, Matthias; Vicente, Luís N. 36 1998 Optimization using surrogate objectives on a helicopter test example. Zbl 0937.76067Booker, Andrew J.; Dennis, J. E. jun.; Frank, Paul D.; Serafini, David B.; Torczon, Virginia 19 1998 A global convergence theory for general trust-region-based algorithms for equality constrained optimization. Zbl 0867.65031Dennis, J. E. jun.; El-Alem, Mahmoud; Maciel, Maria C. 41 1997 On the convergence theory of trust-region-based algorithms for equality-constrained optimization. Zbl 0891.65073Dennis, J. E.; Vicente, Luís N. 12 1997 Numerical methods for unconstrained optimization and nonlinear equations. Repr. Zbl 0847.65038Dennis, J. E. jun.; Schnabel, Robert B. 371 1996 Trust-region interior-point algorithms for minimization problems with simple bounds. Zbl 0907.65056Dennis, J. E.; Vicente, Luis N. 13 1996 A unified approach to global convergence of trust region methods for nonsmooth optimization. Zbl 0835.90086Dennis, John E. jun.; Li, Shou-Bai B.; Tapia, Richard A. 26 1995 Multilevel algorithms for nonlinear optimization. Zbl 0834.90112Alexandrov, Natalia; Dennis, J. E. jun. 2 1995 Problem formulation for multidisciplinary optimization. Zbl 0818.65055Cramer, Evin J.; Dennis, J. E. jun.; Frank, Paul D.; Lewis, Robert Michael; Shubin, Gregory R. 29 1994 Triangular decomposition methods for solving reducible nonlinear systems of equations. Zbl 0814.65050Dennis, J. E. jun.; Martínez, José Mario; Zhang, Xiaodong 7 1994 Sizing and least-change secant methods. Zbl 0802.65081Dennis, J. E. jun.; Wolkowicz, Henry 53 1993 On the superlinear and quadratic convergence of primal-dual interior point linear programming algorithms. Zbl 0763.90066Zhang, Yin; Tapia, Richard A.; Dennis, John E. jun. 29 1992 Parallel block triangular decompositions for solving sparse nonlinear systems of equations. Zbl 0789.65036Dennis, John E. jun.; Martínez, J. Mario; Zhang, Xiaodong 1 1992 Direct search methods on parallel machines. Zbl 0754.90051Dennis, J. E. jun.; Torczon, Virginia 38 1991 A curvilinear search using tridiagonal secant updates for unconstrained optimization. Zbl 0756.65088Dennis, J. E. jun.; Echebest, N.; Guardarucci, M. T.; Martínez, J. M.; Scolnik, H. D.; Vacchino, C. 5 1991 Convergence theory for the structured BFGS secant method with an application to nonlinear least squares. Zbl 0645.65026Dennis, J. E. jun.; Martinez, H. J.; Tapia, R. A. 33 1989 Numerical methods for unconstrained optimization and nonlinear equations. (Chislennye metody bezuslovnoj optimizatsii i resheniya nelinejnykh uravnenij). Transl. from the English. (Chislennye metody bezuslovnoj optimizatsii i resheniya nelinejnykh uravnenij.) Zbl 0671.65043Dennis, J. E. jun.; Schnabel, Robert B. 7 1988 A memoryless augmented Gauss-Newton method for nonlinear least-squares problems. Zbl 0662.65054Dennis, J. E. jun.; Sheng, Song-Bai; Phuong, Anh Vu 1 1988 A variable-metric variant of the Karmarkar algorithm for linear programming. Zbl 0635.90058Dennis, J. E. jun.; Morshedi, A. M.; Turner, Kathryn 20 1987 Generalized conjugate directions. Zbl 0644.65025Dennis, J. E. jun.; Turner, Kathryn 12 1987 On the successive projections approach to least-squares problems. Zbl 0614.65059Dennis, J. E. jun.; Steihaug, Trond 5 1986 A trust region strategy for nonlinear equality constrained optimization. Zbl 0566.65048Celis, M. R.; Dennis, J. E.; Tapia, R. A. 66 1985 Least-change sparse secant update methods with inaccurate secant conditions. Zbl 0597.65049Dennis, J. E. jun.; Walker, Homer F. 4 1985 Inaccuracy in quasi-Newton methods: Local improvement theorems. Zbl 0566.65038Dennis, J. E. jun.; Walker, Homer F. 7 1984 Numerical methods for unconstrained optimization and nonlinear equations. Zbl 0579.65058Dennis, J. E. jun.; Schnabel, Robert B. 759 1983 Direct secant updates of matrix factorizations. Zbl 0482.65028Dennis, J. E. jun.; Marwil, Earl S. 13 1982 Algorithms for nonlinear fitting. Zbl 0545.65007Dennis, J. E. jun. 2 1982 An adaptive nonlinear least-squares algorithm. Zbl 0464.65040Dennis, John E. jun.; Gay, David M.; Welsch, Roy E. 64 1981 Convergence theorems for least-change secant update methods. Zbl 0527.65032Dennis, J. E. jun.; Walker, Homer F. 49 1981 Least change secant updates for quasi-Newton methods. Zbl 0424.65020Dennis, J. E. jun.; Schnabel, Robert B. 54 1979 Two new unconstrained optimization algorithms which use function and gradient values. Zbl 0388.65022Dennis, J. E. jun.; Mei, H. H. W. 35 1979 Algorithms for solvents of matrix polynomials. Zbl 0386.65012Dennis, J. E. jun.; Traub, J. F.; Weber, R. P. 19 1978 Techniques for nonlinear least squares and robust regression. Zbl 0395.62046Dennis, John E. jun.; Welsch, Roy E. 13 1978 A brief introduction to quasi-Newton methods. Zbl 0397.65034Dennis, J. E. jun. 1 1978 Quasi-Newton methods, motivation and theory. Zbl 0356.65041Dennis, J. E. jun.; More, Jorge J. 335 1977 The algebraic theory of matrix polynomials. Zbl 0361.15013Dennis, J. E. jun.; Traub, J. F.; Weber, R. P. 56 1976 A stability analysis for perturbed nonlinear iterative methods. Zbl 0337.65032Boggs, Paul T.; Dennis, J. E. jun. 17 1976 A characterization of superlinear convergence and its application to quasi-Newton methods. Zbl 0282.65042Dennis, J. E. jun.; More, Jorge J. 218 1974 On the local and superlinear convergence of quasi-Newton methods. Zbl 0282.65041Broyden, C. G.; Dennis, J. E. jun.; More, Jorge J. 156 1973 Some computational techniques for the nonlinear least squares problem. Zbl 0275.65020Dennis, J. E. jun. 2 1973 Derivative free analogues of the Levenberg-Marquardt and Gauss algorithms for nonlinear least squares approximation. Zbl 0235.65043Brown, Kenneth M.; Dennis, J. E. jun. 28 1972 On some methods based on Broyden’s secant approximation to the Hessian. Zbl 0303.65045Dennis, J. E. jun. 3 1972 Toward a unified convergence theory for Newton-like methods. Zbl 0276.65029Dennis, J. E. jun. 26 1971 On the convergence of Broyden’s method for nonlinear systems of equations. Zbl 0277.65030Dennis, J. E. jun. 16 1971 On the convergence of Newton-like methods. Zbl 0252.65045Dennis, J. E. jun. 4 1970 On the Kantorovich hypothesis for Newton’s method. Zbl 0221.65098Dennis, J. E. jun. 30 1969 A new type of Chebyshev quadrature. Zbl 0176.14302Barnhill, R. E.; Dennis, J. E. jun.; Nielson, G. M. 8 1969 Cubature and the Tchakaloff cone. Zbl 0194.47201Dennis, J. E.; Goldstein, A. A. 2 1969 On Newton-like methods. Zbl 0165.17303Dennis, J. E. jun. 35 1968 On Newton-like iteration functions: General convergence theorems and a specific algorithm. Zbl 0176.13702Brown, K. M.; Dennis, J. E. jun. 3 1968 On Newton’s method and nonlinear simultaneous displacements. Zbl 0149.36502Dennis, J. E. jun. 4 1967 A stationary Newton method for nonlinear functional equations. Zbl 0155.19503Dennis, J. E. jun. 3 1967 all cited Publications top 5 cited Publications all top 5 Cited by 3,831 Authors 55 Martínez, José Mario 37 Argyros, Ioannis Konstantinos 32 Audet, Charles 29 Zhu, Detong 24 Toint, Philippe L. 21 Le Digabel, Sébastien 20 Vicente, Luis Nunes 20 Yuan, Gonglin 19 Kelley, Carl T. 19 Leong, Wah June 19 Lucidi, Stefano 17 Ma, Changfeng 17 Tapia, Richard A. 16 Waziri, Mohammed Yusuf 16 Yang, Haijian 15 Cai, Xiao-Chuan 15 Nadarajah, Saralees 15 Qi, Liqun 15 Santos, Sandra Augusta 15 Wei, Zengxin 14 Dennis, John E. jun. 14 Scitovski, Rudolf 14 Yang, Chao 13 Andrei, Neculai 12 Birgin, Ernesto G. 12 Li, Donghui 12 Morini, Benedetta 11 Ferreira, Orizon Pereira 11 Hare, Warren L. 11 Jukić, Dragan 11 Nocedal, Jorge 11 Sachs, Ekkehard W. 11 Yuan, Ya-xiang 11 Zhang, Jianzhong 10 Conn, Andrew Roger 10 Fukushima, Masao 10 Gasparo, Maria Grazia 10 Gratton, Serge 10 Hernández-Verón, Miguel Ángel 10 Marsden, Alison L. 10 Pu, Dingguo 10 Rinaldi, Francesco 10 Schütze, Oliver 10 Sun, Wenyu 10 Watson, Layne Terry 9 Bellavia, Stefania 9 Byrd, Richard H. 9 Griewank, Andreas 9 Hilout, Saïd 9 Kanzow, Christian 9 Keyes, David Elliot 9 Liuzzi, Giampaolo 9 Lukšan, Ladislav 9 Shieh, Leang-San 9 Zhang, Yin 8 Bala Abubakar, Auwal 8 Fang, Shu-Cherng 8 Gu, Chao 8 Hwang, Fengnan 8 Ibrahim, Abdulkarim Hassan 8 Kumam, Poom 8 Ni, Qin 8 Price, Christopher John 8 Raydan, Marcos 8 Regis, Rommel G. 8 Sabo, Kristian 8 Singer, Hermann 8 Sun, Shuyu 8 Svaiter, Benar Fux 8 Vrahatis, Michael N. 7 Bewley, Thomas R. 7 Chen, Xiaojun 7 Coleman, Thomas F. 7 Custódio, Ana Luísa 7 Fernandes, Edite M. G. P. 7 Ford, John A. 7 Halilu, Abubakar Sani 7 Harbrecht, Helmut 7 Hassan, Malik Abu 7 Khorram, Esmaile 7 Kimiaei, Morteza 7 Krejić, Nataša 7 Macconi, Maria 7 Mohammad, Hassan 7 Potra, Florian-Alexandru 7 Powell, Michael James David 7 Prudente, Leandro F. 7 Steihaug, Trond 7 Wild, Stefan M. 7 Yamamoto, Tetsuro 7 Yamashita, Nobuo 7 Ypma, Tjalling J. 7 Yu, Zhensheng 6 Abramson, Mark A. 6 Al-Baali, Mehiddin 6 Costa, M. Fernanda P. 6 Diniz-Ehrhardt, Maria Aparecida 6 El-Alem, Mahmoud M. 6 El-Sobky, Bothina 6 Gilbert, Jean Charles ...and 3,731 more Authors all top 5 Cited in 379 Serials 154 Journal of Optimization Theory and Applications 146 Journal of Computational and Applied Mathematics 119 Applied Mathematics and Computation 115 Computational Optimization and Applications 97 Optimization Methods & Software 96 Mathematical Programming. Series A. Series B 70 Journal of Computational Physics 66 Journal of Global Optimization 64 Computers & Mathematics with Applications 60 Computer Methods in Applied Mechanics and Engineering 60 Numerical Algorithms 60 Optimization and Engineering 50 Applied Numerical Mathematics 44 SIAM Journal on Optimization 42 European Journal of Operational Research 41 Computing 40 Optimization 37 Mathematical Programming 36 Mathematics of Computation 35 Numerische Mathematik 30 International Journal of Computer Mathematics 30 Optimization Letters 28 Computational and Applied Mathematics 27 Linear Algebra and its Applications 24 Numerical Functional Analysis and Optimization 22 Applied Mathematical Modelling 21 Automatica 21 Information Sciences 21 Journal of Applied Mathematics and Computing 21 Structural and Multidisciplinary Optimization 20 SIAM Journal on Scientific Computing 19 Computers and Fluids 19 Applied Mathematics Letters 18 Annals of Operations Research 18 Computational Statistics and Data Analysis 16 International Journal of Control 16 Computers & Operations Research 15 Calcolo 15 International Journal for Numerical Methods in Engineering 15 Journal of Scientific Computing 14 Operations Research Letters 14 Mathematical Problems in Engineering 12 Computer Physics Communications 12 Journal of the Franklin Institute 12 Journal of Mathematical Analysis and Applications 12 BIT 11 Mathematical and Computer Modelling 11 Computational Geosciences 10 Mathematics and Computers in Simulation 10 Journal of Industrial and Management Optimization 10 Engineering Optimization 10 Mathematical Programming Computation 9 Computational Mechanics 9 Journal of Economic Dynamics & Control 8 International Journal of Systems Science 8 Journal of Applied Mathematics 7 Statistics 7 Top 7 S\(\vec{\text{e}}\)MA Journal 6 Journal of Fluid Mechanics 6 Journal of Econometrics 6 Acta Mathematicae Applicatae Sinica. English Series 6 Journal of Complexity 6 Neural Computation 6 Communications in Statistics. Simulation and Computation 6 Applied Mathematics. Series B (English Edition) 6 Engineering Analysis with Boundary Elements 6 Set-Valued and Variational Analysis 6 Science China. Mathematics 6 Numerical Algebra, Control and Optimization 5 Psychometrika 5 Kybernetika 5 SIAM Journal on Numerical Analysis 5 Transactions of the American Mathematical Society 5 Systems & Control Letters 5 Computer Aided Geometric Design 5 Physica D 5 SIAM Journal on Matrix Analysis and Applications 5 Journal of Statistical Computation and Simulation 5 SIAM Review 5 Journal of Mathematical Sciences (New York) 5 Numerical Linear Algebra with Applications 5 Soft Computing 5 Journal of Applied Statistics 5 International Journal of Applied Mathematics and Computer Science 5 The ANZIAM Journal 5 Nonlinear Analysis. Real World Applications 5 Algorithms 4 International Journal for Numerical Methods in Fluids 4 Journal of Mathematical Biology 4 Linear and Multilinear Algebra 4 Mathematical Biosciences 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Applied Mathematics and Optimization 4 The Journal of Mathematical Sociology 4 Asia-Pacific Journal of Operational Research 4 Applications of Mathematics 4 Computational Statistics 4 Communications in Statistics. Theory and Methods 4 International Transactions in Operational Research ...and 279 more Serials all top 5 Cited in 54 Fields 1,470 Operations research, mathematical programming (90-XX) 1,440 Numerical analysis (65-XX) 309 Calculus of variations and optimal control; optimization (49-XX) 199 Statistics (62-XX) 178 Fluid mechanics (76-XX) 130 Mechanics of deformable solids (74-XX) 125 Systems theory; control (93-XX) 104 Computer science (68-XX) 90 Partial differential equations (35-XX) 80 Biology and other natural sciences (92-XX) 79 Operator theory (47-XX) 75 Linear and multilinear algebra; matrix theory (15-XX) 50 Ordinary differential equations (34-XX) 48 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 38 Probability theory and stochastic processes (60-XX) 30 Approximations and expansions (41-XX) 30 Geophysics (86-XX) 30 Information and communication theory, circuits (94-XX) 27 Classical thermodynamics, heat transfer (80-XX) 24 Mechanics of particles and systems (70-XX) 23 Statistical mechanics, structure of matter (82-XX) 19 Optics, electromagnetic theory (78-XX) 18 Integral equations (45-XX) 16 Dynamical systems and ergodic theory (37-XX) 14 Global analysis, analysis on manifolds (58-XX) 10 Quantum theory (81-XX) 9 Field theory and polynomials (12-XX) 9 Real functions (26-XX) 9 Differential geometry (53-XX) 7 Algebraic geometry (14-XX) 6 Number theory (11-XX) 6 Functions of a complex variable (30-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Special functions (33-XX) 5 Functional analysis (46-XX) 5 Convex and discrete geometry (52-XX) 4 General and overarching topics; collections (00-XX) 4 Combinatorics (05-XX) 3 Commutative algebra (13-XX) 3 Difference and functional equations (39-XX) 3 Integral transforms, operational calculus (44-XX) 3 Geometry (51-XX) 3 Astronomy and astrophysics (85-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 General algebraic systems (08-XX) 2 Potential theory (31-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 General topology (54-XX) 2 Relativity and gravitational theory (83-XX) 2 Mathematics education (97-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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