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NumericalAlgebraicGeometry

swMATH ID: 12155
Software Authors: Leykin, Anton
Description: Numerical algebraic geometry. Numerical algebraic geometry uses numerical data to describe algebraic varieties. It is based on numerical polynomial homotopy continuation, which is an alternative to the classical symbolic approaches of computational algebraic geometry. We present a package, whose primary purpose is to interlink the existing symbolic methods of Macaulay2 and the powerful engine of numerical approximate computations. The core procedures of the package exhibit performance competitive with the other homotopy continuation software.
Homepage: http://www2.macaulay2.com/Macaulay2/doc/Macaulay2-1.12/share/doc/Macaulay2/NumericalAlgebraicGeometry/html/
Dependencies: Macaulay2
Related Software: Bertini; Macaulay2; PHCpack; NAG4M2; HOM4PS; alphaCertified; Hom4PS-3; HomotopyContinuation; MonodromySolver; Bertini.m2; SINGULAR; Maple; NumericalCertification; Paramotopy; SageMath; polymake; DEMiCs; mctoolbox; DGM; pss5
Cited in: 34 Documents
all top 5

Cited by 77 Authors

8 Leykin, Anton
6 Duff, Timothy
4 Rodriguez, Jose Israel
3 Hao, Wenrui
3 Hauenstein, Jonathan D.
3 Sottile, Frank
2 Beltrán, Carlos E.
2 Breiding, Paul
2 del Campo, Abraham Martín
2 Heaton, Alexander
2 Kubjas, Kaie
2 Verschelde, Jan
2 Walker, Elise
2 Yahl, Thomas
1 Angelini, Elena
1 Bates, Daniel J.
1 Bernstein, Daniel Irving
1 Bradford, Russell J.
1 Burr, Michael A.
1 Çelik, Türkü Özlüm
1 Chen, Qipin
1 Chen, Tianran
1 Davenport, James Harold
1 England, Matthew
1 Errami, Hassan
1 Farnsworth, Cameron
1 Gallardo, Patricio
1 Galuppi, Francesco
1 Gerdt, Vladimir Petrovich
1 Gesmundo, Fulvio
1 Grigor’ev, Dmitriĭ Yur’evich
1 Grosdos, Alexandros
1 Guan, Yun
1 Hein, Nickolas
1 Hill, Cvetelina
1 Holweck, Frédéric
1 Hoyt, Charles Tapley
1 Huang, Yao
1 Jaffali, Hamza
1 Jensen, Anders Nedergaard
1 Kosta, Dimitra
1 Košta, Marek
1 Krone, Robert
1 Lee, Kisun
1 Lee, Tsung-Lin
1 Li, Tien-Yien
1 Liddell, Alan C. jun.
1 Lin, Guang
1 Maraj, Aida
1 Mella, Massimiliano
1 Michałek, Mateusz
1 Niemerg, Matthew E.
1 Oeding, Luke
1 Ottaviani, Giorgio Maria
1 Pardo, Luis Miguel
1 Pearlstein, Gregory J.
1 Plaumann, Daniel
1 Radulescu, Ovidiu
1 Ruddy, Michael G.
1 Sattelberger, Anna-Laura
1 Schaffler, Luca
1 Scholten, Georgy
1 Sommars, Jeff
1 Sommese, Andrew John
1 Sorea, Miruna-Ştefana
1 Sturm, Thomas
1 Telen, Simon
1 Vakil, Ravi
1 Vannieuwenhoven, Nick
1 Venturello, Lorenzo
1 Wang, Yu
1 Weber, Andreas Günter
1 Wu, Wenyuan
1 Xia, Bican
1 Yürük, Oğuzhan
1 Zhang, Zheng
1 Zheng, Chunyue
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Cited in 19 Serials

9 Journal of Symbolic Computation
3 Mathematics of Computation
2 Computers & Mathematics with Applications
2 Journal of Pure and Applied Algebra
2 Journal of Scientific Computing
2 Foundations of Computational Mathematics
1 IMA Journal of Numerical Analysis
1 Bulletin of Mathematical Biology
1 Mathematische Nachrichten
1 Advances in Applied Mathematics
1 Numerical Algorithms
1 Applied and Computational Harmonic Analysis
1 Advances in Geometry
1 Journal of Algebra and its Applications
1 Mathematics in Computer Science
1 Journal of Physics A: Mathematical and Theoretical
1 ACM Communications in Computer Algebra
1 Numerical Algebra, Control and Optimization
1 The Journal of Software for Algebra and Geometry
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Cited in 16 Fields

21 Algebraic geometry (14-XX)
20 Numerical analysis (65-XX)
11 Computer science (68-XX)
7 Commutative algebra (13-XX)
2 Combinatorics (05-XX)
2 Field theory and polynomials (12-XX)
2 Convex and discrete geometry (52-XX)
2 Statistics (62-XX)
2 Biology and other natural sciences (92-XX)
1 General and overarching topics; collections (00-XX)
1 Partial differential equations (35-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Differential geometry (53-XX)
1 Operations research, mathematical programming (90-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year