Edit Profile (opens in new tab) Verschelde, Jan Co-Author Distance Author ID: verschelde.jan Published as: Verschelde, Jan; Verschelde, J. Documents Indexed: 77 Publications since 1991, including 18 Additional arXiv Preprints 4 Contributions as Editor Co-Authors: 42 Co-Authors with 66 Joint Publications 956 Co-Co-Authors all top 5 Co-Authors 15 single-authored 12 Sommese, Andrew John 11 Wampler, Charles W. II 7 Leykin, Anton 5 Adrovic, Danko 5 Cools, Ronald 4 Yu, Xiangcheng 3 Bliss, Nathan 3 Haegemans, Ann 3 Sommars, Jeff 3 Sottile, Frank 3 Vakil, Ravi 3 Watt, Stephen Michael 3 Yoffe, Genady 3 Zhao, Ailing 2 del Campo, Abraham Martín 2 Gatermann, Karin 2 Guan, Yun 2 Huber, Birkett 2 Reid, Greg J. 2 Telen, Simon 2 Van Barel, Marc 2 Wang, Yusong 2 Zhi, Lihong 1 Beckers, Marc 1 Emiris, Ioannis Z. 1 Forbes, Angus 1 Gao, Tangan 1 Gross, Elizabeth 1 Jensen, Anders Nedergaard 1 Li, Tien-Yien 1 Michiels, T. 1 Otto, Jasmine T. 1 Petrović, Sonja 1 Piret, Kathy 1 Stillman, Michael Eugene 1 Takayama, Nobuki 1 Verlinden, Pierre 1 Viswanathan, Kylash 1 Wittkopf, Allan D. 1 Wu, Mengnien 1 Wu, Wenyuan 1 Zhuang, Yan all top 5 Serials 5 SIAM Journal on Numerical Analysis 4 Theoretical Computer Science 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Journal of Symbolic Computation 2 Journal of Complexity 2 Discrete & Computational Geometry 2 ACM Communications in Computer Algebra 1 Computers & Mathematics with Applications 1 Discrete Applied Mathematics 1 Mathematics of Computation 1 ACM Transactions on Mathematical Software 1 IEEE Transactions on Automatic Control 1 Numerische Mathematik 1 SIAM Journal on Control and Optimization 1 SIGSAM Bulletin 1 Advances in Applied Mathematics 1 Numerical Algorithms 1 Linear Algebra and its Applications 1 Applicable Algebra in Engineering, Communication and Computing 1 Experimental Mathematics 1 SIAM Journal on Scientific Computing 1 The IMA Volumes in Mathematics and its Applications 1 The Journal of Software for Algebra and Geometry all top 5 Fields 47 Numerical analysis (65-XX) 37 Computer science (68-XX) 29 Algebraic geometry (14-XX) 17 Field theory and polynomials (12-XX) 15 Commutative algebra (13-XX) 15 Real functions (26-XX) 13 Functions of a complex variable (30-XX) 4 General and overarching topics; collections (00-XX) 4 Convex and discrete geometry (52-XX) 3 Systems theory; control (93-XX) 2 Statistics (62-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 56 Publications have been cited 770 times in 383 Documents Cited by ▼ Year ▼ Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation. Zbl 0961.65047 Verschelde, Jan 177 1999 Newton’s method with deflation for isolated singularities of polynomial systems. Zbl 1106.65046 Leykin, Anton; Verschelde, Jan; Zhao, Ailing 65 2006 Homotopies exploiting Newton polytopes for solving sparse polynomial systems. Zbl 0809.65048 Verschelde, Jan; Verlinden, Pierre; Cools, Ronald 62 1994 Numerical decomposition of the solution sets of polynomial systems into irreducible components. Zbl 1002.65060 Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 47 2001 Symmetric functions applied to decomposing solution sets of polynomial systems. Zbl 1034.65034 Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 32 2002 Higher-order deflation for polynomial systems with isolated singular solutions. Zbl 1138.65038 Leykin, Anton; Verschelde, Jan; Zhao, Ailing 26 2008 Using monodromy to decompose solution sets of polynomial systems into irreducible components. Zbl 0990.65051 Sommese, A. J.; Verschelde, J.; Wampler, C. W. 26 2001 Polyhedral end games for polynomial continuation. Zbl 0933.65057 Huber, Birkett; Verschelde, Jan 26 1998 Numerical homotopies to compute generic points on positive dimensional algebraic sets. Zbl 0982.65070 Sommese, Andrew J.; Verschelde, Jan 24 2000 Mixed-volume computation by dynamic lifting applied to polynomial system solving. Zbl 0854.68111 Verschelde, J.; Gatermann, K.; Cools, R. 20 1996 Numerical irreducible decomposition using projections from points on the components. Zbl 1061.68593 Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 15 2001 Introduction to numerical algebraic geometry. Zbl 1152.14313 Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 15 2005 Homotopies for intersecting solution components of polynomial systems. Zbl 1108.13308 Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 13 2004 PHClab: a MATLAB/Octave interface to PHCpack. Zbl 1148.68578 Guan, Yun; Verschelde, Jan 13 2008 Symbolic homotopy construction. Zbl 0804.65058 Verschelde, Jan; Cools, Ronald 12 1993 Solving polynomial systems equation by equation. Zbl 1136.65052 Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 11 2008 Numerical factorization of multivariate complex polynomials. Zbl 1147.13302 Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 11 2004 Symmetric Newton polytopes for solving sparse polynomial systems. Zbl 0832.65048 Verschelde, Jan; Gatermann, Karin 10 1995 Polynomial homotopy continuation with PHCpack. Zbl 1308.68198 Verschelde, Jan 9 2010 Computing Puiseux series for algebraic surfaces. Zbl 1323.68578 Adrovic, Danko; Verschelde, Jan 9 2012 A robust numerical path tracking algorithm for polynomial homotopy continuation. Zbl 1457.65023 Telen, Simon; Van Barel, Marc; Verschelde, Jan 9 2020 The GBQ-algorithm for constructing start systems of homotopies for polynomial systems. Zbl 0806.65054 Verschelde, Jan; Haegemans, Ann 8 1993 How to count efficiently all affine roots of a polynomial system. Zbl 1034.68715 Emiris, Ioannis Z.; Verschelde, Jan 8 1999 An intrinsic homotopy for intersecting algebraic varieties. Zbl 1108.13309 Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 7 2005 A new start system for solving deficient polynomial systems using continuation. Zbl 0743.65051 Verschelde, Jan; Beckers, Marc; Haegemans, Ann 7 1991 Symmetric homotopy construction. Zbl 0806.65055 Verschelde, Jan; Cools, Ronald 7 1994 Polyhedral methods for space curves exploiting symmetry applied to the cyclic \(n\)-roots problem. Zbl 1412.13030 Adrovic, Danko; Verschelde, Jan 7 2013 Interfacing with PHCpack. Zbl 1311.13002 Gross, Elizabeth; Petrović, Sonja; Verschelde, Jan 7 2013 Numerical evidence for a conjecture in real algebraic geometry. Zbl 1054.14080 Verschelde, Jan 6 2000 A method for tracking singular paths with application to the numerical irreducible decomposition. Zbl 1014.65035 Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 6 2002 Homotopies for solving polynomial systems within a bounded domain. Zbl 0811.65041 Verschelde, Jan; Haegemans, Ann 6 1994 Numerical irreducible decomposition. Zbl 1027.65066 Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 6 2003 Evaluation of Jacobian matrices for Newton’s method with deflation to approximate isolated singular solutions of polynomial systems. Zbl 1117.65074 Leykin, Anton; Verschelde, Jan; Zhao, Ailing 5 2007 Sweeping algebraic curves for singular solutions. Zbl 1189.65101 Piret, Kathy; Verschelde, Jan 5 2010 Toric Newton method for polynomial homotopies. Zbl 0992.65048 Verschelde, Jan 5 2000 Pieri homotopies for problems in enumerative geometry applied to pole placement in linear systems control. Zbl 0955.14038 Huber, Birkett; Verschelde, Jan 5 2000 Polyhedral methods in numerical algebraic geometry. Zbl 1181.65073 Verschelde, Jan 5 2009 Balancing the lifting values to improve the numerical stability of polyhedral homotopy continuation methods. Zbl 1023.65048 Gao, Tangan; Li, T. Y.; Verschelde, Jan; Wu, Mengnien 4 2000 Enumerating regular mixed-cell configurations. Zbl 0951.52012 Michiels, T.; Verschelde, J. 4 1999 Pruning algorithms for pretropisms of Newton polytopes. Zbl 1453.52015 Sommars, Jeff; Verschelde, Jan 4 2016 Solving Schubert problems with Littlewood-Richardson homotopies. Zbl 1321.68541 Sottile, Frank; Vakil, Ravi; Verschelde, Jan 3 2010 Interfacing with the numerical homotopy algorithms in PHCpack. Zbl 1230.65061 Leykin, Anton; Verschelde, Jan 3 2006 Geometric completion of differential systems using numeric symbolic continuation. Zbl 1054.65090 Reid, Greg; Smith, Chris; Verschelde, Jan 2 2002 Nonlinear reduction for solving deficient polynomial systems by continuation methods. Zbl 0756.65080 Verschelde, Jan; Cools, Ronald 2 1992 Computing dynamic output feedback laws. Zbl 1365.93198 Verschelde, Jan; Wang, Yusong 2 2004 Proceedings of the 2007 international workshop on symbolic-numeric computation, SNC ’07, University of Western Ontario, London, ON, Canada, July 25–27, 2007. Zbl 1143.00005 2 2007 Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm. Zbl 1468.14093 Leykin, Anton; Del Campo, Abraham Martín; Sottile, Frank; Vakil, Ravi; Verschelde, Jan 2 2021 The method of Gauss-Newton to compute power series solutions of polynomial homotopies. Zbl 1418.65068 Bliss, Nathan; Verschelde, Jan 2 2018 Software for algebraic geometry. Papers of a workshop, Minneapolis, MN, USA, October 23–27, 2006. Zbl 1138.68008 1 2008 Solving polynomial systems in the cloud with polynomial homotopy continuation. Zbl 1439.13078 Bliss, Nathan; Sommars, Jeff; Verschelde, Jan; Yu, Xiangcheng 1 2015 Computing all space curve solutions of polynomial systems by polyhedral methods. Zbl 1453.13084 Bliss, Nathan; Verschelde, Jan 1 2016 Tropical algebraic geometry in Maple: a preprocessing algorithm for finding common factors for multivariate polynomials with approximate coefficients. Zbl 1225.14050 Adrovic, Danko; Verschelde, Jan 1 2011 Parallel homotopy algorithms to solve polynomial systems. Zbl 1230.65062 Leykin, Anton; Verschelde, Jan; Zhuang, Yan 1 2006 Locating the closest singularity in a polynomial homotopy. Zbl 1507.14084 Verschelde, Jan; Viswanathan, Kylash 1 2022 Robust numerical tracking of one path of a polynomial homotopy on parallel shared memory computers. Zbl 07635852 Telen, Simon; Van Barel, Marc; Verschelde, Jan 1 2020 A blackbox polynomial system solver on parallel shared memory computers. Zbl 1453.65469 Verschelde, Jan 1 2018 Locating the closest singularity in a polynomial homotopy. Zbl 1507.14084 Verschelde, Jan; Viswanathan, Kylash 1 2022 Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm. Zbl 1468.14093 Leykin, Anton; Del Campo, Abraham Martín; Sottile, Frank; Vakil, Ravi; Verschelde, Jan 2 2021 A robust numerical path tracking algorithm for polynomial homotopy continuation. Zbl 1457.65023 Telen, Simon; Van Barel, Marc; Verschelde, Jan 9 2020 Robust numerical tracking of one path of a polynomial homotopy on parallel shared memory computers. Zbl 07635852 Telen, Simon; Van Barel, Marc; Verschelde, Jan 1 2020 The method of Gauss-Newton to compute power series solutions of polynomial homotopies. Zbl 1418.65068 Bliss, Nathan; Verschelde, Jan 2 2018 A blackbox polynomial system solver on parallel shared memory computers. Zbl 1453.65469 Verschelde, Jan 1 2018 Pruning algorithms for pretropisms of Newton polytopes. Zbl 1453.52015 Sommars, Jeff; Verschelde, Jan 4 2016 Computing all space curve solutions of polynomial systems by polyhedral methods. Zbl 1453.13084 Bliss, Nathan; Verschelde, Jan 1 2016 Solving polynomial systems in the cloud with polynomial homotopy continuation. Zbl 1439.13078 Bliss, Nathan; Sommars, Jeff; Verschelde, Jan; Yu, Xiangcheng 1 2015 Polyhedral methods for space curves exploiting symmetry applied to the cyclic \(n\)-roots problem. Zbl 1412.13030 Adrovic, Danko; Verschelde, Jan 7 2013 Interfacing with PHCpack. Zbl 1311.13002 Gross, Elizabeth; Petrović, Sonja; Verschelde, Jan 7 2013 Computing Puiseux series for algebraic surfaces. Zbl 1323.68578 Adrovic, Danko; Verschelde, Jan 9 2012 Tropical algebraic geometry in Maple: a preprocessing algorithm for finding common factors for multivariate polynomials with approximate coefficients. Zbl 1225.14050 Adrovic, Danko; Verschelde, Jan 1 2011 Polynomial homotopy continuation with PHCpack. Zbl 1308.68198 Verschelde, Jan 9 2010 Sweeping algebraic curves for singular solutions. Zbl 1189.65101 Piret, Kathy; Verschelde, Jan 5 2010 Solving Schubert problems with Littlewood-Richardson homotopies. Zbl 1321.68541 Sottile, Frank; Vakil, Ravi; Verschelde, Jan 3 2010 Polyhedral methods in numerical algebraic geometry. Zbl 1181.65073 Verschelde, Jan 5 2009 Higher-order deflation for polynomial systems with isolated singular solutions. Zbl 1138.65038 Leykin, Anton; Verschelde, Jan; Zhao, Ailing 26 2008 PHClab: a MATLAB/Octave interface to PHCpack. Zbl 1148.68578 Guan, Yun; Verschelde, Jan 13 2008 Solving polynomial systems equation by equation. Zbl 1136.65052 Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 11 2008 Software for algebraic geometry. Papers of a workshop, Minneapolis, MN, USA, October 23–27, 2006. Zbl 1138.68008 1 2008 Evaluation of Jacobian matrices for Newton’s method with deflation to approximate isolated singular solutions of polynomial systems. Zbl 1117.65074 Leykin, Anton; Verschelde, Jan; Zhao, Ailing 5 2007 Proceedings of the 2007 international workshop on symbolic-numeric computation, SNC ’07, University of Western Ontario, London, ON, Canada, July 25–27, 2007. Zbl 1143.00005 2 2007 Newton’s method with deflation for isolated singularities of polynomial systems. Zbl 1106.65046 Leykin, Anton; Verschelde, Jan; Zhao, Ailing 65 2006 Interfacing with the numerical homotopy algorithms in PHCpack. Zbl 1230.65061 Leykin, Anton; Verschelde, Jan 3 2006 Parallel homotopy algorithms to solve polynomial systems. Zbl 1230.65062 Leykin, Anton; Verschelde, Jan; Zhuang, Yan 1 2006 Introduction to numerical algebraic geometry. Zbl 1152.14313 Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 15 2005 An intrinsic homotopy for intersecting algebraic varieties. Zbl 1108.13309 Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 7 2005 Homotopies for intersecting solution components of polynomial systems. Zbl 1108.13308 Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 13 2004 Numerical factorization of multivariate complex polynomials. Zbl 1147.13302 Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 11 2004 Computing dynamic output feedback laws. Zbl 1365.93198 Verschelde, Jan; Wang, Yusong 2 2004 Numerical irreducible decomposition. Zbl 1027.65066 Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 6 2003 Symmetric functions applied to decomposing solution sets of polynomial systems. Zbl 1034.65034 Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 32 2002 A method for tracking singular paths with application to the numerical irreducible decomposition. Zbl 1014.65035 Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 6 2002 Geometric completion of differential systems using numeric symbolic continuation. Zbl 1054.65090 Reid, Greg; Smith, Chris; Verschelde, Jan 2 2002 Numerical decomposition of the solution sets of polynomial systems into irreducible components. Zbl 1002.65060 Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 47 2001 Using monodromy to decompose solution sets of polynomial systems into irreducible components. Zbl 0990.65051 Sommese, A. J.; Verschelde, J.; Wampler, C. W. 26 2001 Numerical irreducible decomposition using projections from points on the components. Zbl 1061.68593 Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. 15 2001 Numerical homotopies to compute generic points on positive dimensional algebraic sets. Zbl 0982.65070 Sommese, Andrew J.; Verschelde, Jan 24 2000 Numerical evidence for a conjecture in real algebraic geometry. Zbl 1054.14080 Verschelde, Jan 6 2000 Toric Newton method for polynomial homotopies. Zbl 0992.65048 Verschelde, Jan 5 2000 Pieri homotopies for problems in enumerative geometry applied to pole placement in linear systems control. Zbl 0955.14038 Huber, Birkett; Verschelde, Jan 5 2000 Balancing the lifting values to improve the numerical stability of polyhedral homotopy continuation methods. Zbl 1023.65048 Gao, Tangan; Li, T. Y.; Verschelde, Jan; Wu, Mengnien 4 2000 Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation. Zbl 0961.65047 Verschelde, Jan 177 1999 How to count efficiently all affine roots of a polynomial system. Zbl 1034.68715 Emiris, Ioannis Z.; Verschelde, Jan 8 1999 Enumerating regular mixed-cell configurations. Zbl 0951.52012 Michiels, T.; Verschelde, J. 4 1999 Polyhedral end games for polynomial continuation. Zbl 0933.65057 Huber, Birkett; Verschelde, Jan 26 1998 Mixed-volume computation by dynamic lifting applied to polynomial system solving. Zbl 0854.68111 Verschelde, J.; Gatermann, K.; Cools, R. 20 1996 Symmetric Newton polytopes for solving sparse polynomial systems. Zbl 0832.65048 Verschelde, Jan; Gatermann, Karin 10 1995 Homotopies exploiting Newton polytopes for solving sparse polynomial systems. Zbl 0809.65048 Verschelde, Jan; Verlinden, Pierre; Cools, Ronald 62 1994 Symmetric homotopy construction. Zbl 0806.65055 Verschelde, Jan; Cools, Ronald 7 1994 Homotopies for solving polynomial systems within a bounded domain. Zbl 0811.65041 Verschelde, Jan; Haegemans, Ann 6 1994 Symbolic homotopy construction. Zbl 0804.65058 Verschelde, Jan; Cools, Ronald 12 1993 The GBQ-algorithm for constructing start systems of homotopies for polynomial systems. Zbl 0806.65054 Verschelde, Jan; Haegemans, Ann 8 1993 Nonlinear reduction for solving deficient polynomial systems by continuation methods. Zbl 0756.65080 Verschelde, Jan; Cools, Ronald 2 1992 A new start system for solving deficient polynomial systems using continuation. Zbl 0743.65051 Verschelde, Jan; Beckers, Marc; Haegemans, Ann 7 1991 all cited Publications top 5 cited Publications all top 5 Cited by 544 Authors 40 Hauenstein, Jonathan D. 22 Verschelde, Jan 20 Sottile, Frank 19 Sommese, Andrew John 16 Leykin, Anton 13 Rodriguez, Jose Israel 13 Wampler, Charles W. II 10 Bates, Daniel J. 9 Peterson, Chris 9 Telen, Simon 9 Wu, Wenyuan 9 Zhi, Lihong 8 Li, Tien-Yien 7 Duff, Timothy 7 Mourrain, Bernard 7 Yu, Bo 6 Hao, Wenrui 6 Helmer, Martin 6 Mehta, Dhagash 6 Regan, Margaret H. 5 Eklund, David 5 Emiris, Ioannis Z. 5 Galligo, André 5 Jeronimo, Gabriela 5 Li, Nan 5 Sabia, Juan 5 Sturmfels, Bernd 5 Van Barel, Marc 5 Zeng, Zhonggang 4 Bai, Fengshan 4 Beltrán, Carlos E. 4 Breiding, Paul 4 Burr, Michael A. 4 Chen, Changbo 4 del Campo, Abraham Martín 4 Di Rocco, Sandra 4 Dong, Bo 4 Herrero, María Isabel 4 Matera, Guillermo 4 Niemerg, Matthew E. 4 Plestenjak, Bor 4 Szántó, Ágnes 3 Bliss, Nathan 3 Bozorgmanesh, Hassan 3 Brysiewicz, Taylor 3 Chèze, Guillaume 3 Cools, Ronald 3 De Lathauwer, Lieven 3 Feng, Yong 3 Gatermann, Karin 3 Gross, Elizabeth 3 Hajarian, Masoud 3 He, Yang-Hui Evariste 3 Hein, Nickolas 3 Hochstenbach, Michiel E. 3 Huber, Birkett 3 Hubert, Evelyne 3 Krone, Robert 3 Lairez, Pierre 3 Lasserre, Jean-Bernard 3 Lecerf, Grégoire 3 Lee, Kisun 3 Lee, Tsung-Lin 3 Liddell, Alan C. jun. 3 Moreno Maza, Marc 3 Noma, Atsushi 3 Oeding, Luke 3 Reid, Greg J. 3 Schost, Éric 3 Sherman, Samantha N. 3 Yahl, Thomas 3 Zhang, JinTao 3 Zhang, Xuping 2 Arsham, Hossein 2 Banks, Jeffrey W. 2 Batselier, Kim 2 Bazan, Erick Rodriguez 2 Brandyberry, Alan A. 2 Chen, Justin 2 Chen, Tianran 2 Cheng, Jinsan 2 Dahan, Xavier 2 Damij, Talib 2 De Moor, Bart L. R. 2 Domes, Ferenc 2 Dou, Xiaojie 2 Dreesen, Philippe 2 Dunfield, Nathan M. 2 Durvye, Clémence 2 Engwerda, Jacob Christiaan 2 Feng, Erbao 2 Gallardo-Alvarado, Jaime 2 Gao, Tangan 2 Georg, Kurt 2 Grad, Janez 2 Hampton, Marshall 2 Han, Lixing 2 Heaton, Alexander 2 Henshaw, William D. 2 Jiao, Libin ...and 444 more Authors all top 5 Cited in 111 Serials 60 Journal of Symbolic Computation 18 Mathematics of Computation 18 Applied Mathematics and Computation 16 Theoretical Computer Science 12 Journal of Computational and Applied Mathematics 12 Foundations of Computational Mathematics 10 Journal of Complexity 10 Numerical Algorithms 9 Experimental Mathematics 7 Journal of Pure and Applied Algebra 7 Journal of Scientific Computing 7 SIAM Journal on Applied Algebra and Geometry 6 Advances in Applied Mathematics 6 Discrete & Computational Geometry 6 Journal of High Energy Physics 5 Computers & Mathematics with Applications 5 SIAM Journal on Matrix Analysis and Applications 5 Linear Algebra and its Applications 4 Computing 4 Journal of Global Optimization 4 Journal of Systems Science and Complexity 4 Journal of Algebra and its Applications 4 Mathematics in Computer Science 4 Arnold Mathematical Journal 3 Journal of Computational Physics 3 Bulletin of Mathematical Biology 3 International Journal of Computational Geometry & Applications 3 SIAM Journal on Scientific Computing 3 Mechanism and Machine Theory 3 Advances in Geometry 2 Communications in Algebra 2 Journal of Mathematical Physics 2 Chaos, Solitons and Fractals 2 Automatica 2 Compositio Mathematica 2 Journal of Optimization Theory and Applications 2 Mathematics and Computers in Simulation 2 Numerische Mathematik 2 Transactions of the American Mathematical Society 2 Applied Numerical Mathematics 2 Journal of the American Mathematical Society 2 European Journal of Operational Research 2 Pattern Recognition 2 Mathematical Programming. Series A. Series B 2 International Journal of Computer Vision 2 Mathematical Problems in Engineering 2 Geometry & Topology 2 Journal of the European Mathematical Society (JEMS) 2 ACM Communications in Computer Algebra 2 Asian Journal of Control 2 The Journal of Software for Algebra and Geometry 1 Computer Physics Communications 1 Discrete Applied Mathematics 1 International Journal of Control 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Annales de l’Institut Fourier 1 Journal of Algebra 1 Journal of Economic Theory 1 Journal für die Reine und Angewandte Mathematik 1 Kodai Mathematical Journal 1 Meccanica 1 SIAM Journal on Numerical Analysis 1 Acta Applicandae Mathematicae 1 Computer Aided Geometric Design 1 Numerical Methods for Partial Differential Equations 1 Journal of Economic Dynamics & Control 1 Applied Mathematics Letters 1 International Journal of Mathematics 1 Annals of Operations Research 1 Japan Journal of Industrial and Applied Mathematics 1 Computational Geometry 1 Differential Geometry and its Applications 1 International Journal of Computer Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Celestial Mechanics and Dynamical Astronomy 1 Applicable Algebra in Engineering, Communication and Computing 1 SIAM Journal on Optimization 1 Computational Optimization and Applications 1 Applied Mathematics. Series B (English Edition) 1 Applied and Computational Harmonic Analysis 1 Economic Theory 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Vietnam Journal of Mathematics 1 Optimization Methods & Software 1 Annals of Mathematics. Second Series 1 Qualitative Theory of Dynamical Systems 1 Dynamical Systems 1 Acta Numerica 1 Computational Management Science 1 Communications in Applied Mathematics and Computational Science 1 Frontiers of Mathematics in China 1 Advances in High Energy Physics 1 Involve ...and 11 more Serials all top 5 Cited in 46 Fields 228 Numerical analysis (65-XX) 144 Algebraic geometry (14-XX) 118 Computer science (68-XX) 95 Commutative algebra (13-XX) 50 Field theory and polynomials (12-XX) 29 Operations research, mathematical programming (90-XX) 22 Functions of a complex variable (30-XX) 21 Real functions (26-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 15 Mechanics of particles and systems (70-XX) 14 Convex and discrete geometry (52-XX) 12 Biology and other natural sciences (92-XX) 11 Partial differential equations (35-XX) 9 Quantum theory (81-XX) 9 Systems theory; control (93-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Combinatorics (05-XX) 7 Statistics (62-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Ordinary differential equations (34-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Number theory (11-XX) 5 Probability theory and stochastic processes (60-XX) 4 Group theory and generalizations (20-XX) 4 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Manifolds and cell complexes (57-XX) 2 Mathematical logic and foundations (03-XX) 2 Integral equations (45-XX) 2 Algebraic topology (55-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year