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Verschelde, Jan

Co-Author Distance
Author ID: verschelde.jan Recent zbMATH articles by "Verschelde, Jan"
Published as: Verschelde, Jan; Verschelde, J.
Documents Indexed: 68 Publications since 1991, including 9 Additional arXiv Preprints
4 Contributions as Editor
Co-Authors: 41 Co-Authors with 62 Joint Publications
979 Co-Co-Authors
all top 5

Co-Authors

10 single-authored
12 Sommese, Andrew John
11 Wampler, Charles W. II
7 Leykin, Anton
5 Adrovic, Danko
5 Cools, Ronald
3 Bliss, Nathan
3 Haegemans, Ann
3 Sommars, Jeff
3 Sottile, Frank
3 Vakil, Ravi
3 Watt, Stephen Michael
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 Viswanathan, Kylash
2 Wang, Yusong
2 Yu, Xiangcheng
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 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

58 Publications have been cited 849 times in 432 Documents Cited by ▼ Year ▼
Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation. Zbl 0961.65047
Verschelde, Jan
193
1999
Newton’s method with deflation for isolated singularities of polynomial systems. Zbl 1106.65046
Leykin, Anton; Verschelde, Jan; Zhao, Ailing
72
2006
Homotopies exploiting Newton polytopes for solving sparse polynomial systems. Zbl 0809.65048
Verschelde, Jan; Verlinden, Pierre; Cools, Ronald
65
1994
Numerical decomposition of the solution sets of polynomial systems into irreducible components. Zbl 1002.65060
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
50
2001
Symmetric functions applied to decomposing solution sets of polynomial systems. Zbl 1034.65034
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
35
2002
Higher-order deflation for polynomial systems with isolated singular solutions. Zbl 1138.65038
Leykin, Anton; Verschelde, Jan; Zhao, Ailing
31
2008
Using monodromy to decompose solution sets of polynomial systems into irreducible components. Zbl 0990.65051
Sommese, A. J.; Verschelde, J.; Wampler, C. W.
30
2001
Polyhedral end games for polynomial continuation. Zbl 0933.65057
Huber, Birkett; Verschelde, Jan
27
1998
Numerical homotopies to compute generic points on positive dimensional algebraic sets. Zbl 0982.65070
Sommese, Andrew J.; Verschelde, Jan
27
2000
Mixed-volume computation by dynamic lifting applied to polynomial system solving. Zbl 0854.68111
Verschelde, J.; Gatermann, K.; Cools, R.
23
1996
Introduction to numerical algebraic geometry. Zbl 1152.14313
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
20
2005
Homotopies for intersecting solution components of polynomial systems. Zbl 1108.13308
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
15
2004
Numerical factorization of multivariate complex polynomials. Zbl 1147.13302
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
15
2004
Numerical irreducible decomposition using projections from points on the components. Zbl 1061.68593
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
15
2001
PHClab: a MATLAB/Octave interface to PHCpack. Zbl 1148.68578
Guan, Yun; Verschelde, Jan
14
2008
Symmetric Newton polytopes for solving sparse polynomial systems. Zbl 0832.65048
Verschelde, Jan; Gatermann, Karin
12
1995
Solving polynomial systems equation by equation. Zbl 1136.65052
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
12
2008
Symbolic homotopy construction. Zbl 0804.65058
Verschelde, Jan; Cools, Ronald
12
1993
Polynomial homotopy continuation with PHCpack. Zbl 1308.68198
Verschelde, Jan
11
2010
A robust numerical path tracking algorithm for polynomial homotopy continuation. Zbl 1457.65023
Telen, Simon; Van Barel, Marc; Verschelde, Jan
10
2020
Interfacing with PHCpack. Zbl 1311.13002
Gross, Elizabeth; Petrović, Sonja; Verschelde, Jan
9
2013
Computing Puiseux series for algebraic surfaces. Zbl 1323.68578
Adrovic, Danko; Verschelde, Jan
9
2012
How to count efficiently all affine roots of a polynomial system. Zbl 1034.68715
Emiris, Ioannis Z.; Verschelde, Jan
8
1999
The GBQ-algorithm for constructing start systems of homotopies for polynomial systems. Zbl 0806.65054
Verschelde, Jan; Haegemans, Ann
8
1993
Polyhedral methods for space curves exploiting symmetry applied to the cyclic \(n\)-roots problem. Zbl 1412.13030
Adrovic, Danko; Verschelde, Jan
7
2013
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
Homotopies for solving polynomial systems within a bounded domain. Zbl 0811.65041
Verschelde, Jan; Haegemans, Ann
7
1994
Symmetric homotopy construction. Zbl 0806.65055
Verschelde, Jan; Cools, Ronald
7
1994
Numerical evidence for a conjecture in real algebraic geometry. Zbl 1054.14080
Verschelde, Jan
7
2000
Numerical irreducible decomposition. Zbl 1027.65066
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
6
2003
Pieri homotopies for problems in enumerative geometry applied to pole placement in linear systems control. Zbl 0955.14038
Huber, Birkett; 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
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
6
2007
Sweeping algebraic curves for singular solutions. Zbl 1189.65101
Piret, Kathy; Verschelde, Jan
6
2010
Toric Newton method for polynomial homotopies. Zbl 0992.65048
Verschelde, Jan
5
2000
Polyhedral methods in numerical algebraic geometry. Zbl 1181.65073
Verschelde, Jan
5
2009
Geometric completion of differential systems using numeric symbolic continuation. Zbl 1054.65090
Reid, Greg; Smith, Chris; Verschelde, Jan
4
2002
Enumerating regular mixed-cell configurations. Zbl 0951.52012
Michiels, T.; Verschelde, J.
4
1999
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
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
Computing dynamic output feedback laws. Zbl 1365.93198
Verschelde, Jan; Wang, Yusong
3
2004
Parallel homotopy algorithms to solve polynomial systems. Zbl 1230.65062
Leykin, Anton; Verschelde, Jan; Zhuang, Yan
2
2006
The method of Gauss-Newton to compute power series solutions of polynomial homotopies. Zbl 1418.65068
Bliss, Nathan; Verschelde, Jan
2
2018
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
Nonlinear reduction for solving deficient polynomial systems by continuation methods. Zbl 0756.65080
Verschelde, Jan; Cools, Ronald
2
1992
Solving polynomial systems in the cloud with polynomial homotopy continuation. Zbl 1439.13078
Bliss, Nathan; Sommars, Jeff; Verschelde, Jan; Yu, Xiangcheng
1
2015
Symbolic-numeric completion of differential systems by homotopy continuation. Zbl 1361.13013
Reid, Greg; Verschelde, Jan; Wittkopf, Allan; Wu, Wenyuan
1
2005
Numerical algebraic geometry and symbolic computation. Zbl 1134.65349
Verschelde, Jan
1
2004
Software for algebraic geometry. Papers of a workshop, Minneapolis, MN, USA, October 23–27, 2006. Zbl 1138.68008
1
2008
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
A blackbox polynomial system solver on parallel shared memory computers. Zbl 1453.65469
Verschelde, Jan
1
2018
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
Locating the closest singularity in a polynomial homotopy. Zbl 1507.14084
Verschelde, Jan; Viswanathan, Kylash
1
2022
Computing all space curve solutions of polynomial systems by polyhedral methods. Zbl 1453.13084
Bliss, Nathan; Verschelde, Jan
1
2016
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
10
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
Interfacing with PHCpack. Zbl 1311.13002
Gross, Elizabeth; Petrović, Sonja; Verschelde, Jan
9
2013
Polyhedral methods for space curves exploiting symmetry applied to the cyclic \(n\)-roots problem. Zbl 1412.13030
Adrovic, Danko; 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
11
2010
Sweeping algebraic curves for singular solutions. Zbl 1189.65101
Piret, Kathy; Verschelde, Jan
6
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
31
2008
PHClab: a MATLAB/Octave interface to PHCpack. Zbl 1148.68578
Guan, Yun; Verschelde, Jan
14
2008
Solving polynomial systems equation by equation. Zbl 1136.65052
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
12
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
6
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
72
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
2
2006
Introduction to numerical algebraic geometry. Zbl 1152.14313
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
20
2005
An intrinsic homotopy for intersecting algebraic varieties. Zbl 1108.13309
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
7
2005
Symbolic-numeric completion of differential systems by homotopy continuation. Zbl 1361.13013
Reid, Greg; Verschelde, Jan; Wittkopf, Allan; Wu, Wenyuan
1
2005
Homotopies for intersecting solution components of polynomial systems. Zbl 1108.13308
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
15
2004
Numerical factorization of multivariate complex polynomials. Zbl 1147.13302
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
15
2004
Computing dynamic output feedback laws. Zbl 1365.93198
Verschelde, Jan; Wang, Yusong
3
2004
Numerical algebraic geometry and symbolic computation. Zbl 1134.65349
Verschelde, Jan
1
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.
35
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
4
2002
Numerical decomposition of the solution sets of polynomial systems into irreducible components. Zbl 1002.65060
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W.
50
2001
Using monodromy to decompose solution sets of polynomial systems into irreducible components. Zbl 0990.65051
Sommese, A. J.; Verschelde, J.; Wampler, C. W.
30
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
27
2000
Numerical evidence for a conjecture in real algebraic geometry. Zbl 1054.14080
Verschelde, Jan
7
2000
Pieri homotopies for problems in enumerative geometry applied to pole placement in linear systems control. Zbl 0955.14038
Huber, Birkett; Verschelde, Jan
6
2000
Toric Newton method for polynomial homotopies. Zbl 0992.65048
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
193
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
27
1998
Mixed-volume computation by dynamic lifting applied to polynomial system solving. Zbl 0854.68111
Verschelde, J.; Gatermann, K.; Cools, R.
23
1996
Symmetric Newton polytopes for solving sparse polynomial systems. Zbl 0832.65048
Verschelde, Jan; Gatermann, Karin
12
1995
Homotopies exploiting Newton polytopes for solving sparse polynomial systems. Zbl 0809.65048
Verschelde, Jan; Verlinden, Pierre; Cools, Ronald
65
1994
Homotopies for solving polynomial systems within a bounded domain. Zbl 0811.65041
Verschelde, Jan; Haegemans, Ann
7
1994
Symmetric homotopy construction. Zbl 0806.65055
Verschelde, Jan; Cools, Ronald
7
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 569 Authors

45 Hauenstein, Jonathan D.
24 Verschelde, Jan
22 Sottile, Frank
20 Sommese, Andrew John
17 Leykin, Anton
15 Rodriguez, Jose Israel
13 Wampler, Charles W. II
11 Wu, Wenyuan
11 Zhi, Lihong
10 Bates, Daniel J.
9 Duff, Timothy
9 Mourrain, Bernard
9 Peterson, Chris
9 Telen, Simon
8 Hao, Wenrui
8 Li, Tien-Yien
8 Mehta, Dhagash
7 Yu, Bo
7 Zeng, Zhonggang
6 Emiris, Ioannis Z.
6 Galligo, André
6 Helmer, Martin
6 Li, Nan
6 Regan, Margaret H.
5 Breiding, Paul
5 Burr, Michael A.
5 Chen, Changbo
5 Eklund, David
5 Hubert, Evelyne
5 Jeronimo, Gabriela
5 Liddell, Alan C. jun.
5 Reid, Greg J.
5 Sabia, Juan
5 Sturmfels, Bernd
5 Szántó, Ágnes
5 Van Barel, Marc
4 Bai, Fengshan
4 Bazan, Erick Rodriguez
4 Beltrán, Carlos E.
4 Bliss, Nathan
4 del Campo, Abraham Martín
4 Di Rocco, Sandra
4 Dong, Bo
4 Gross, Elizabeth
4 He, Yang-Hui Evariste
4 Herrero, María Isabel
4 Lee, Kisun
4 Mantzaflaris, Angelos
4 Matera, Guillermo
4 Moreno Maza, Marc
4 Niemerg, Matthew E.
4 Plestenjak, Bor
4 Rojas, J. Maurice
4 Schost, Éric
3 Bozorgmanesh, Hassan
3 Brysiewicz, Taylor
3 Chen, Tianran
3 Chèze, Guillaume
3 Cools, Ronald
3 Dayton, Barry H.
3 De Lathauwer, Lieven
3 Feng, Yong
3 Gatermann, Karin
3 Giesbrecht, Mark W.
3 Hajarian, Masoud
3 Hein, Nickolas
3 Hochstenbach, Michiel E.
3 Huber, Birkett
3 Kaltofen, Erich L.
3 Krone, Robert
3 Labahn, George
3 Lairez, Pierre
3 Lasserre, Jean-Bernard
3 Lecerf, Grégoire
3 Lee, Tsung-Lin
3 Lee, Wen-shin
3 Noma, Atsushi
3 Oeding, Luke
3 Sherman, Samantha N.
3 Yahl, Thomas
3 Yang, Zhengfeng
3 Zhang, JinTao
3 Zhang, Xuping
2 Arsham, Hossein
2 Banks, Jeffrey W.
2 Batenkov, Dmitry
2 Batselier, Kim
2 Bender, Matías R.
2 Bradford, Russell J.
2 Brake, Daniel A.
2 Brandyberry, Alan A.
2 Chen, Justin
2 Cheng, Jinsan
2 Cuyt, Annie A. M.
2 Dahan, Xavier
2 Damij, Talib
2 Davenport, James Harold
2 De Moor, Bart L. R.
2 Domes, Ferenc
2 Dou, Xiaojie
...and 469 more Authors
all top 5

Cited in 115 Serials

63 Journal of Symbolic Computation
18 Mathematics of Computation
18 Applied Mathematics and Computation
16 Theoretical Computer Science
13 Foundations of Computational Mathematics
12 Journal of Computational and Applied Mathematics
10 Journal of Complexity
10 Numerical Algorithms
9 Experimental Mathematics
7 Journal of Pure and Applied Algebra
7 Journal of Scientific Computing
7 Journal of High Energy Physics
7 SIAM Journal on Applied Algebra and Geometry
6 Advances in Applied Mathematics
6 Discrete & Computational Geometry
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
3 The Journal of Software for Algebra and Geometry
2 Communications in Algebra
2 Journal of Mathematical Physics
2 Chaos, Solitons and Fractals
2 Automatica
2 Compositio Mathematica
2 Journal of Algebra
2 Journal of Optimization Theory and Applications
2 Mathematics and Computers in Simulation
2 Numerische Mathematik
2 Transactions of the American Mathematical Society
2 Computer Aided Geometric Design
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
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 Nonlinearity
1 ACM Transactions on Mathematical Software
1 Annales de l’Institut Fourier
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 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 Bulletin des Sciences Mathématiques
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 Chaos
1 Annals of Mathematics. Second Series
1 Qualitative Theory of Dynamical Systems
1 Dynamical Systems
1 Acta Numerica
1 Computational Management Science
...and 15 more Serials
all top 5

Cited in 47 Fields

254 Numerical analysis (65-XX)
160 Algebraic geometry (14-XX)
149 Computer science (68-XX)
110 Commutative algebra (13-XX)
51 Field theory and polynomials (12-XX)
30 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 Convex and discrete geometry (52-XX)
15 Mechanics of particles and systems (70-XX)
14 Partial differential equations (35-XX)
13 Biology and other natural sciences (92-XX)
10 Quantum theory (81-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Systems theory; control (93-XX)
8 Statistics (62-XX)
7 Combinatorics (05-XX)
7 Ordinary differential equations (34-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Number theory (11-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Approximations and expansions (41-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
5 Probability theory and stochastic processes (60-XX)
4 Group theory and generalizations (20-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 Differential geometry (53-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 Difference and functional equations (39-XX)
1 Operator theory (47-XX)
1 Geometry (51-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Citations by Year