Edit Profile Ralph, Daniel Compute Distance To: Compute Author ID: ralph.daniel Published as: Ralph, D.; Ralph, Daniel Documents Indexed: 54 Publications since 1993, including 4 Books all top 5 Co-Authors 6 single-authored 6 Pang, Jong-Shi 5 Jiang, Houyuan 5 Luo, Zhi-Quan 4 Ferris, Michael C. 4 Wright, Stephen J. 3 Eberhard, Andrew C. 2 Churilov, Leonid 2 Crouzeix, Jean-Pierre 2 Hu, Xinmin 2 Scholtes, Stefan 2 Sniedovich, Moshe 1 Boland, Natashia L. 1 Bomze, Immanuel M. 1 Facchinei, Francisco 1 Giallombardo, Giovanni 1 Glover, Barney M. 1 Goulart, Paul J. 1 Hill, Robin D. 1 Holmberg, Pär 1 Hult, Edward 1 Kerrigan, Eric C. 1 Munson, Todd S. 1 Neame, Philip J. 1 Newbery, David M. G. 1 Parpas, Panos 1 Sim, Chee-Khian 1 Smeers, Yves 1 Stein, Oliver 1 Sun, Jie 1 Wiesemann, Wolfram 1 Wu, Shiquan 1 Xu, Huifu all top 5 Serials 11 Mathematical Programming. Series A. Series B 6 Mathematics of Operations Research 3 SIAM Journal on Optimization 3 Computational Optimization and Applications 1 Journal of Economic Theory 1 Journal of Optimization Theory and Applications 1 Operations Research 1 Operations Research Letters 1 Asia-Pacific Journal of Operational Research 1 Linear Algebra and its Applications 1 Optimization Methods & Software 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Applied Optimization 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 39 Operations research, mathematical programming (90-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 General and overarching topics; collections (00-XX) 4 Numerical analysis (65-XX) 2 Real functions (26-XX) 2 Systems theory; control (93-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 46 Publications have been cited 895 times in 701 Documents Cited by ▼ Year ▼ Exact penalization and stationarity conditions of mathematical programs with equilibrium constraints. Zbl 0870.90092Luo, Zhi-Quan; Pang, Jong-Shi; Ralph, Daniel; Wu, Shi-Quan 150 1996 Mathematical programs with equilibrium constraints. Reprint of the 1997 hardback ed. Zbl 1139.90003Luo, Zhi-Quan; Pang, Jong-Shi; Ralph, Daniel 111 2008 Mathematical programs with equilibrium constraints. Zbl 0898.90006Luo, Zhi-Quan; Pang, Jong-Shi; Ralph, Daniel 109 1997 Smooth SQP methods for mathematical programs with nonlinear complementarity constraints. Zbl 0955.90134Jiang, Houyuan; Ralph, Daniel 56 2000 Piecewise smoothness, local invertibility, and parametric analysis of normal maps. Zbl 0857.90122Pang, Jong-Shi; Ralph, Daniel 51 1996 Using EPECs to model bilevel games in restructured electricity markets with locational prices. Zbl 1167.91357Hu, Xinmin; Ralph, Daniel 50 2007 Some properties of regularization and penalization schemes for MPECs. Zbl 1097.90054Ralph, Daniel; Wright, Stephen J. 34 2004 Directional derivatives of the solution of a parametric nonlinear program. Zbl 0844.90089Ralph, D.; Dempe, S. 34 1995 Global convergence of damped Newton’s method for nonsmooth equations via the path search. Zbl 0819.90102Ralph, Daniel 33 1994 OPECgen, a MATLAB generator for mathematical programs with quadratic objectives and affine variational inequality constraints. Zbl 1040.90500Jiang, Houyuan; Ralph, Daniel 21 1999 A superlinear infeasible-interior-point algorithm for monotone complementarity problems. Zbl 0867.90112Wright, Stephen; Ralph, Daniel 19 1996 Open versus closed loop capacity equilibria in electricity markets under perfect and oligopolistic competition. Zbl 1273.90113Wogrin, S.; Hobbs, B. F.; Ralph, D.; Centeno, E.; Barquín, J. 17 2013 Extension of quasi-Newton methods to mathematical programs with complementarity constraints. Zbl 1038.90100Jiang, Houyuan; Ralph, Daniel 15 2003 Small convex-valued subdifferentials in mathematical programming. Zbl 0816.49007Craven, B. D.; Ralph, D.; Glover, B. M. 15 1995 Convergence of stationary points of sample average two-stage stochastic programs: a generalized equation approach. Zbl 1246.90110Ralph, Daniel; Xu, Huifu 14 2011 Sensitivity analysis of composite piecewise smooth equations. Zbl 0871.90094Ralph, Daniel; Scholtes, Stefan 14 1997 Implicit smoothing and its application to optimization with piecewise smooth equality constraints. Zbl 1211.90278Ralph, D.; Xu, H. 10 2005 A geometrical insight on pseudoconvexity and pseudomonotonicity. Zbl 1189.26019Crouzeix, Jean-Pierre; Eberhard, Andrew; Ralph, Daniel 9 2010 Superlinear convergence of an interior-point method for monotone variational inequalities. Zbl 0886.90162Ralph, Daniel; Wright, Stephen J. 9 1997 Projected gradient methods for nonlinear complementarity problems via normal maps. Zbl 0946.90090Ferris, Michael C.; Ralph, Daniel 9 1995 A note on sensitivity of value functions of mathematical programs with complementarity constraints. Zbl 1065.90072Hu, Xinmin; Ralph, Daniel 8 2002 Superlinear convergence of an interior-point method despite dependent constraints. Zbl 0977.90082Ralph, Daniel; Wright, Stephen J. 7 2000 Global and local superlinear convergence analysis of Newton-type methods for semismooth equations with smooth least squares. Zbl 0928.65060Jiang, Houyuan; Ralph, Daniel 7 1999 Sequential quadratic programming for mathematical programs with linear complementarity constraints. Zbl 0910.90253Ralph, D. 7 1996 On branching numbers of normal manifolds. Zbl 0830.57014Ralph, Daniel 7 1994 Supply function equilibria: step functions and continuous representations. Zbl 1285.91103Holmberg, Pär; Newbery, David; Ralph, Daniel 6 2013 A note on the Lipschitz continuity of the gradient of the squared norm of the matrix-valued Fischer-Burmeister function. Zbl 1111.90112Sim, Chee-Khian; Sun, Jie; Ralph, Daniel 6 2006 An outer approximate subdifferential method for piecewise affine optimization. Zbl 0959.90047Neame, Philip; Boland, Natashia; Ralph, Daniel 6 2000 Piecewise sequential quadratic programming for mathematical programs with nonlinear complementarity constraints. Zbl 0897.90184Luo, Zhi-Quan; Pang, Jong-Shi; Ralph, Daniel 6 1998 A new proof of Robinson’s homeomorphism theorem for pl-normal maps. Zbl 0770.90069Ralph, Daniel 6 1993 Mathematical programs with complementarity constraints in traffic and telecommunications networks. Zbl 1153.90361Ralph, Daniel 5 2008 A stable homotopy approach to horizontal linear complementary problems. Zbl 1117.90069Ralph, D. 5 2002 A nonlinear duality result equivalent to the Clarke-Ledyaev mean value inequality. Zbl 0844.49014Lewis, A. S.; Ralph, D. 5 1996 First order approximations to nonsmooth mappings with application to metric regularity. Zbl 0811.49014Glover, B. M.; Ralph, D. 5 1994 Risk trading and endogenous probabilities in investment equilibria. Zbl 1372.91130Ralph, Daniel; Smeers, Yves 4 2015 Efficient robust optimization for robust control with constraints. Zbl 1143.49025Goulart, Paul J.; Kerrigan, Eric C.; Ralph, Daniel 4 2008 Multiplier convergence in trust-region methods with application to convergence of decomposition methods for MPECs. Zbl 1145.90073Giallombardo, Giovanni; Ralph, Daniel 4 2008 A chain rule for nonsmooth composite functions via minimisation. Zbl 0829.49015Ralph, D. 4 1994 The C-index: a new stability concept for quadratic programs with complementarity constraints. Zbl 1243.90219Ralph, Daniel; Stein, Oliver 3 2011 Characterizations for perturbed exact penalty functions. Zbl 1090.90183Yang, X. Q.; Ralph, D. 3 2005 A note on composite concave quadratic programming. Zbl 0941.90059Churilov, Leonid; Ralph, Daniel; Sniedovich, Moshe 2 1998 (Convex) level sets integration. Zbl 1390.26022Crouzeix, Jean-Pierre; Eberhard, Andrew; Ralph, Daniel 1 2016 Exact computational approaches to a stochastic uncapacitated single allocation \(p\)-hub center problem. Zbl 1302.90237Hult, Edward; Jiang, Houyuan; Ralph, Daniel 1 2014 Hyper sensitivity analysis of portfolio optimization problems. Zbl 1059.91037Churilov, Leonid; Bomze, Immanuel M.; Sniedovich, Moshe; Ralph, Daniel 1 2004 Dual-sampling-rate moving-horizon control of a class of linear systems with input saturation and plant uncertainty. Zbl 1040.93054Brockwell, A.; Polak, E.; Evans, R.; Ralph, D. 1 2003 A homotopy method for mixed complementarity problems based on the PATH solver. Zbl 0952.65050Ferris, M. C.; Munson, T. S.; Ralph, D. 1 2000 (Convex) level sets integration. Zbl 1390.26022Crouzeix, Jean-Pierre; Eberhard, Andrew; Ralph, Daniel 1 2016 Risk trading and endogenous probabilities in investment equilibria. Zbl 1372.91130Ralph, Daniel; Smeers, Yves 4 2015 Exact computational approaches to a stochastic uncapacitated single allocation \(p\)-hub center problem. Zbl 1302.90237Hult, Edward; Jiang, Houyuan; Ralph, Daniel 1 2014 Open versus closed loop capacity equilibria in electricity markets under perfect and oligopolistic competition. Zbl 1273.90113Wogrin, S.; Hobbs, B. F.; Ralph, D.; Centeno, E.; Barquín, J. 17 2013 Supply function equilibria: step functions and continuous representations. Zbl 1285.91103Holmberg, Pär; Newbery, David; Ralph, Daniel 6 2013 Convergence of stationary points of sample average two-stage stochastic programs: a generalized equation approach. Zbl 1246.90110Ralph, Daniel; Xu, Huifu 14 2011 The C-index: a new stability concept for quadratic programs with complementarity constraints. Zbl 1243.90219Ralph, Daniel; Stein, Oliver 3 2011 A geometrical insight on pseudoconvexity and pseudomonotonicity. Zbl 1189.26019Crouzeix, Jean-Pierre; Eberhard, Andrew; Ralph, Daniel 9 2010 Mathematical programs with equilibrium constraints. Reprint of the 1997 hardback ed. Zbl 1139.90003Luo, Zhi-Quan; Pang, Jong-Shi; Ralph, Daniel 111 2008 Mathematical programs with complementarity constraints in traffic and telecommunications networks. Zbl 1153.90361Ralph, Daniel 5 2008 Efficient robust optimization for robust control with constraints. Zbl 1143.49025Goulart, Paul J.; Kerrigan, Eric C.; Ralph, Daniel 4 2008 Multiplier convergence in trust-region methods with application to convergence of decomposition methods for MPECs. Zbl 1145.90073Giallombardo, Giovanni; Ralph, Daniel 4 2008 Using EPECs to model bilevel games in restructured electricity markets with locational prices. Zbl 1167.91357Hu, Xinmin; Ralph, Daniel 50 2007 A note on the Lipschitz continuity of the gradient of the squared norm of the matrix-valued Fischer-Burmeister function. Zbl 1111.90112Sim, Chee-Khian; Sun, Jie; Ralph, Daniel 6 2006 Implicit smoothing and its application to optimization with piecewise smooth equality constraints. Zbl 1211.90278Ralph, D.; Xu, H. 10 2005 Characterizations for perturbed exact penalty functions. Zbl 1090.90183Yang, X. Q.; Ralph, D. 3 2005 Some properties of regularization and penalization schemes for MPECs. Zbl 1097.90054Ralph, Daniel; Wright, Stephen J. 34 2004 Hyper sensitivity analysis of portfolio optimization problems. Zbl 1059.91037Churilov, Leonid; Bomze, Immanuel M.; Sniedovich, Moshe; Ralph, Daniel 1 2004 Extension of quasi-Newton methods to mathematical programs with complementarity constraints. Zbl 1038.90100Jiang, Houyuan; Ralph, Daniel 15 2003 Dual-sampling-rate moving-horizon control of a class of linear systems with input saturation and plant uncertainty. Zbl 1040.93054Brockwell, A.; Polak, E.; Evans, R.; Ralph, D. 1 2003 A note on sensitivity of value functions of mathematical programs with complementarity constraints. Zbl 1065.90072Hu, Xinmin; Ralph, Daniel 8 2002 A stable homotopy approach to horizontal linear complementary problems. Zbl 1117.90069Ralph, D. 5 2002 Smooth SQP methods for mathematical programs with nonlinear complementarity constraints. Zbl 0955.90134Jiang, Houyuan; Ralph, Daniel 56 2000 Superlinear convergence of an interior-point method despite dependent constraints. Zbl 0977.90082Ralph, Daniel; Wright, Stephen J. 7 2000 An outer approximate subdifferential method for piecewise affine optimization. Zbl 0959.90047Neame, Philip; Boland, Natashia; Ralph, Daniel 6 2000 A homotopy method for mixed complementarity problems based on the PATH solver. Zbl 0952.65050Ferris, M. C.; Munson, T. S.; Ralph, D. 1 2000 OPECgen, a MATLAB generator for mathematical programs with quadratic objectives and affine variational inequality constraints. Zbl 1040.90500Jiang, Houyuan; Ralph, Daniel 21 1999 Global and local superlinear convergence analysis of Newton-type methods for semismooth equations with smooth least squares. Zbl 0928.65060Jiang, Houyuan; Ralph, Daniel 7 1999 Piecewise sequential quadratic programming for mathematical programs with nonlinear complementarity constraints. Zbl 0897.90184Luo, Zhi-Quan; Pang, Jong-Shi; Ralph, Daniel 6 1998 A note on composite concave quadratic programming. Zbl 0941.90059Churilov, Leonid; Ralph, Daniel; Sniedovich, Moshe 2 1998 Mathematical programs with equilibrium constraints. Zbl 0898.90006Luo, Zhi-Quan; Pang, Jong-Shi; Ralph, Daniel 109 1997 Sensitivity analysis of composite piecewise smooth equations. Zbl 0871.90094Ralph, Daniel; Scholtes, Stefan 14 1997 Superlinear convergence of an interior-point method for monotone variational inequalities. Zbl 0886.90162Ralph, Daniel; Wright, Stephen J. 9 1997 Exact penalization and stationarity conditions of mathematical programs with equilibrium constraints. Zbl 0870.90092Luo, Zhi-Quan; Pang, Jong-Shi; Ralph, Daniel; Wu, Shi-Quan 150 1996 Piecewise smoothness, local invertibility, and parametric analysis of normal maps. Zbl 0857.90122Pang, Jong-Shi; Ralph, Daniel 51 1996 A superlinear infeasible-interior-point algorithm for monotone complementarity problems. Zbl 0867.90112Wright, Stephen; Ralph, Daniel 19 1996 Sequential quadratic programming for mathematical programs with linear complementarity constraints. Zbl 0910.90253Ralph, D. 7 1996 A nonlinear duality result equivalent to the Clarke-Ledyaev mean value inequality. Zbl 0844.49014Lewis, A. S.; Ralph, D. 5 1996 Directional derivatives of the solution of a parametric nonlinear program. Zbl 0844.90089Ralph, D.; Dempe, S. 34 1995 Small convex-valued subdifferentials in mathematical programming. Zbl 0816.49007Craven, B. D.; Ralph, D.; Glover, B. M. 15 1995 Projected gradient methods for nonlinear complementarity problems via normal maps. Zbl 0946.90090Ferris, Michael C.; Ralph, Daniel 9 1995 Global convergence of damped Newton’s method for nonsmooth equations via the path search. Zbl 0819.90102Ralph, Daniel 33 1994 On branching numbers of normal manifolds. Zbl 0830.57014Ralph, Daniel 7 1994 First order approximations to nonsmooth mappings with application to metric regularity. Zbl 0811.49014Glover, B. M.; Ralph, D. 5 1994 A chain rule for nonsmooth composite functions via minimisation. Zbl 0829.49015Ralph, D. 4 1994 A new proof of Robinson’s homeomorphism theorem for pl-normal maps. Zbl 0770.90069Ralph, Daniel 6 1993 all cited Publications top 5 cited Publications all top 5 Cited by 959 Authors 25 Pang, Jong-Shi 21 Zhang, Liwei 19 Lin, Guihua 16 Kanzow, Christian 16 Xu, Huifu 15 Fukushima, Masao 12 Outrata, Jiří V. 12 Ralph, Daniel 12 Ye, Jane J. 11 Qi, Liqun 11 Yang, Xiaoqi 9 Chen, Xiaojun 9 Dempe, Stephan 9 Schmidt, Martin 9 Zhang, Jin 8 Chiou, Suh-Wen 8 Lin, Lai-Jiu 8 Mordukhovich, Boris S. 8 Schwartz, Alexandra 8 Sun, Defeng 8 Wu, Jia 7 Barton, Paul I. 7 Červinka, Michal 7 Ferris, Michael C. 7 Júdice, Joaquim João 7 Lin, Gui-Hua 7 Liu, Guoshan 7 Sun, Hailin 7 Tin-Loi, Francis 7 Yao, Yonghong 7 Zhang, Jie 7 Zhang, Yi 7 Zhu, Xide 6 Andreani, Roberto 6 Chen, Jein-Shan 6 Gao, Yan 6 Hintermüller, Michael 6 Hobbs, Benjamin F. 6 Hoheisel, Tim 6 Huang, Xuexiang 6 Liu, Yongchao 6 Noor, Muhammad Aslam 6 Schewe, Lars 6 Zhang, Dali 6 Zhang, Jianzhong 5 Aussel, Didier 5 Facchinei, Francisco 5 Guo, Lei 5 Han, Jiye 5 Henrion, René 5 Le Thi, Hoai An 5 Liou, Yeongcheng 5 Martínez, José Mario 5 Pang, Liping 5 Pham Dinh Tao 5 Stechlinski, Peter G. 5 Still, Georg J. 5 Sun, Jie 4 Ali, Rehan 4 Ansari, Qamrul Hasan 4 Bouza-Allende, Gemayqzel 4 Ceng, Lu-Chuan 4 Gadhi, Nazih Abderrazzak 4 Glover, Bevil Milton 4 Grimm, Veronika 4 Izmailov, Alexey F. 4 Jian, Jinbao 4 Kazmi, Kaleem Raza 4 Leyffer, Sven 4 Lu, Shu 4 Mishra, Shashi Kant 4 Mitchell, John E. 4 Nie, Pu-yan 4 Pan, Shaohua 4 Pištěk, Miroslav 4 Shanbhag, Uday V. 4 Stein, Oliver 4 Surowiec, Thomas 4 Teo, Kok Lay 4 Tseng, Paul 4 Wan, Zhong 4 Wan, Zhongping 4 Yang, Xinmin 4 Zhao, Gongyun 4 Zhu, Zhibin 4 Zöttl, Gregor 3 Bai, Lijie 3 Chen, Jiawei 3 Cho, Yeol Je 3 De los Reyes, Juan Carlos 3 Dutta, Joydeep 3 Gabriel, Steven A. 3 Galligani, Emanuele 3 Hadjisavvas, Nicolas 3 Holmberg, Pär 3 Huang, Zheng-Hai 3 Huppmann, Daniel 3 Iiduka, Hideaki 3 Khan, Kamil A. 3 Li, Guoyin ...and 859 more Authors all top 5 Cited in 119 Serials 91 Journal of Optimization Theory and Applications 66 Mathematical Programming. Series A. Series B 36 Journal of Global Optimization 35 European Journal of Operational Research 35 Computational Optimization and Applications 31 Optimization 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 18 Set-Valued and Variational Analysis 17 Journal of Mathematical Analysis and Applications 14 Applied Mathematics and Computation 14 Optimization Methods & Software 13 Journal of Computational and Applied Mathematics 13 Networks and Spatial Economics 11 Computer Methods in Applied Mechanics and Engineering 11 SIAM Journal on Optimization 10 Numerical Functional Analysis and Optimization 10 Annals of Operations Research 9 Computers & Operations Research 9 Mathematical Methods of Operations Research 9 Journal of Inequalities and Applications 8 Operations Research Letters 8 Numerical Algorithms 7 Kybernetika 7 Journal of Applied Mathematics and Computing 7 Journal of Industrial and Management Optimization 7 Optimization Letters 6 Mathematics of Computation 5 Computers & Mathematics with Applications 5 Asia-Pacific Journal of Operational Research 5 Applications of Mathematics 5 Linear Algebra and its Applications 4 Automatica 4 Applied Mathematics and Mechanics. (English Edition) 4 Mathematical and Computer Modelling 4 Applied Mathematical Modelling 4 Vietnam Journal of Mathematics 4 Optimization and Engineering 4 Fixed Point Theory and Applications 4 Numerical Algebra, Control and Optimization 3 Journal of Economic Theory 3 Mathematics of Operations Research 3 Systems & Control Letters 3 Acta Mathematicae Applicatae Sinica. English Series 3 International Journal of Computer Mathematics 3 Journal of Mathematical Imaging and Vision 3 Set-Valued Analysis 3 Top 3 Mathematical Problems in Engineering 3 RAIRO. Operations Research 3 Computational Management Science 3 Science China. Mathematics 3 Journal of the Operations Research Society of China 3 Nonlinear Analysis. Theory, Methods & Applications 2 Acta Mathematica Vietnamica 2 Calcolo 2 International Journal for Numerical Methods in Engineering 2 Journal of Mathematical Economics 2 Journal of Economic Dynamics & Control 2 Economic Theory 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Discrete Dynamics in Nature and Society 2 Journal of Applied Mathematics 2 Journal of Fixed Point Theory and Applications 2 Mathematical Programming Computation 2 EURO Journal on Computational Optimization 1 Bulletin of the Australian Mathematical Society 1 International Journal of Solids and Structures 1 Journal of the Franklin Institute 1 Applied Mathematics and Optimization 1 Computing 1 Fuzzy Sets and Systems 1 International Journal of Game Theory 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Numerische Mathematik 1 Operations Research 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Journal of Information & Optimization Sciences 1 Mathematical Social Sciences 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Science in China. Series A 1 Neural Networks 1 Economics Letters 1 Computational Mathematics and Mathematical Physics 1 SIAM Journal on Applied Mathematics 1 Archive of Applied Mechanics 1 International Journal of Robust and Nonlinear Control 1 SIAM Journal on Scientific Computing 1 Computational and Applied Mathematics 1 Journal of Convex Analysis 1 INFORMS Journal on Computing 1 Abstract and Applied Analysis 1 Positivity 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 European Journal of Mechanics. A. Solids 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics ...and 19 more Serials all top 5 Cited in 29 Fields 581 Operations research, mathematical programming (90-XX) 189 Calculus of variations and optimal control; optimization (49-XX) 148 Numerical analysis (65-XX) 122 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 41 Operator theory (47-XX) 21 Mechanics of deformable solids (74-XX) 19 Real functions (26-XX) 12 Systems theory; control (93-XX) 11 Computer science (68-XX) 8 Ordinary differential equations (34-XX) 6 Partial differential equations (35-XX) 6 Convex and discrete geometry (52-XX) 5 Functional analysis (46-XX) 5 Statistics (62-XX) 5 Information and communication theory, circuits (94-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Biology and other natural sciences (92-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Geophysics (86-XX) Citations by Year