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Author ID: zeng.zhonggang Recent zbMATH articles by "Zeng, Zhonggang"
Published as: Zeng, Zhonggang; Zeng, Z.; Zeng, Zhong Gang

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 309 times in 190 Documents Cited by Year
Computing the multiplicity structure in solving polynomial systems. Zbl 1360.65151
Dayton, Barry H.; Zeng, Zhonggang
57
2005
Computing multiple roots of inexact polynomials. Zbl 1079.12007
Zeng, Zhonggang
42
2005
Multiple zeros of nonlinear systems. Zbl 1242.65102
Dayton, Barry H.; Li, Tien-Yien; Zeng, Zhonggang
35
2011
The approximate GCD of inexact polynomials. II: A multivariate algorithm. Zbl 1134.13313
Zeng, Zhonggang; Dayton, Barry H.
27
2004
A rank-revealing method with updating, downdating, and applications. Zbl 1114.15004
Li, T. Y.; Zeng, Zhonggang
20
2005
Dynamics of thin liquid films on vertical cylindrical fibres. Zbl 1415.76150
Ji, H.; Falcon, C.; Sadeghpour, A.; Zeng, Z.; Ju, Y. S.; Bertozzi, A. L.
14
2019
The numerical greatest common divisor of univariate polynomials. Zbl 1236.65051
Zeng, Zhonggang
13
2011
The closedness subspace method for computing the multiplicity structure of a polynomial system. Zbl 1181.65074
Zeng, Zhonggang
13
2009
Solving eigenvalue problems of real nonsymmetric matrices with real homotopies. Zbl 0749.65028
Li, T. Y.; Zeng, Zhonggang; Cong, Luan
12
1992
ApaTools: a software toolbox for approximate polynomial algebra. Zbl 1148.68581
Zeng, Zhonggang
10
2008
Algorithm 931: An algorithm and software for computing multiplicity structures at zeros of nonlinear systems. Zbl 1295.65058
Hao, Wenrui; Sommese, Andrew J.; Zeng, Zhonggang
10
2013
Homotopy-determinant algorithm for solving nonsymmetric eigenvalue problems. Zbl 0783.65034
Li, T. Y.; Zeng, Zhonggang
9
1992
The quasi-Laguerre iteration. Zbl 0854.65033
Du, Qiang; Jin, Ming; Li, T. Y.; Zeng, Z.
8
1997
A method computing multiple roots of inexact polynomials. Zbl 1072.68704
Zeng, Zhonggang
8
2003
The Laguerre iteration in solving the symmetric tridiagonal eigenproblem, revisited. Zbl 0809.65035
Li, T. Y.; Zeng, Zhonggang
7
1994
An algorithm for the generalized symmetric tridiagonal eigenvalue problem. Zbl 0821.65018
Li, Kuiyuan; Li, Tien-Yien; Zeng, Zhonggang
4
1994
A numerical elimination method for polynomial computations. Zbl 1156.65049
Zeng, Zhonggang
4
2008
Sensitivity and computation of a defective eigenvalue. Zbl 1342.65118
Zeng, Zhonggang
4
2016
Regularization and matrix computation in numerical polynomial algebra. Zbl 1191.65036
Zeng, Zhonggang
4
2009
The approximate irreducible factorization of a univariate polynomial. Revisited. Zbl 1237.65048
Zeng, Zhonggang
3
2009
Quasi-Laguerre iteration in solving symmetric tridiagonal eigenvalue problems. Zbl 0865.65021
Du, Qiang; Jin, Ming; Li, T. Y.; Zeng, Z.
3
1996
The numerical factorization of polynomials. Zbl 1454.65031
Wu, Wenyuan; Zeng, Zhonggang
3
2017
A rank-revealing method with updating, downdating, and applications. II. Zbl 1190.65058
Lee, Tsung-Lin; Li, Tien-Yien; Zeng, Zhonggang
3
2009
An efficient and accurate parallel algorithm for the singular value problem of bidiagonal matrices. Zbl 0823.65040
Li, T. Y.; Rhee, Noah H.; Zeng, Zhonggang
2
1995
The homotopy continuation algorithm for the real nonsymmetric eigenproblem: Further development and implementation. Zbl 0936.65040
Li, T. Y.; Zeng, Zhonggang
2
1999
A scalable eigenvalue solver for symmetric tridiagonal matrices. Zbl 0873.65033
Trefftz, C.; Huang, C. C.; McKinley, P. K.; Li, T.-Y.; Zeng, Z.
2
1995
On the sensitivity of singular and ill-conditioned linear systems. Zbl 1420.65055
Zeng, Zhonggang
2
2019
Algorithms for two-dimensional transfer function computation. Zbl 0780.93058
Whalley, R.; Zeng, Z.
1
1992
RankRev: a Matlab package for computing the numerical rank and updating/downdating. Zbl 1382.65119
Lee, Tsung-Lin; Li, Tien-Yien; Zeng, Zhonggang
1
2018
Intuitive interface for solving linear and nonlinear system of equations. Zbl 1397.65344
Zeng, Zhonggang
1
2018
Dynamics of thin liquid films on vertical cylindrical fibres. Zbl 1415.76150
Ji, H.; Falcon, C.; Sadeghpour, A.; Zeng, Z.; Ju, Y. S.; Bertozzi, A. L.
14
2019
On the sensitivity of singular and ill-conditioned linear systems. Zbl 1420.65055
Zeng, Zhonggang
2
2019
RankRev: a Matlab package for computing the numerical rank and updating/downdating. Zbl 1382.65119
Lee, Tsung-Lin; Li, Tien-Yien; Zeng, Zhonggang
1
2018
Intuitive interface for solving linear and nonlinear system of equations. Zbl 1397.65344
Zeng, Zhonggang
1
2018
The numerical factorization of polynomials. Zbl 1454.65031
Wu, Wenyuan; Zeng, Zhonggang
3
2017
Sensitivity and computation of a defective eigenvalue. Zbl 1342.65118
Zeng, Zhonggang
4
2016
Algorithm 931: An algorithm and software for computing multiplicity structures at zeros of nonlinear systems. Zbl 1295.65058
Hao, Wenrui; Sommese, Andrew J.; Zeng, Zhonggang
10
2013
Multiple zeros of nonlinear systems. Zbl 1242.65102
Dayton, Barry H.; Li, Tien-Yien; Zeng, Zhonggang
35
2011
The numerical greatest common divisor of univariate polynomials. Zbl 1236.65051
Zeng, Zhonggang
13
2011
The closedness subspace method for computing the multiplicity structure of a polynomial system. Zbl 1181.65074
Zeng, Zhonggang
13
2009
Regularization and matrix computation in numerical polynomial algebra. Zbl 1191.65036
Zeng, Zhonggang
4
2009
The approximate irreducible factorization of a univariate polynomial. Revisited. Zbl 1237.65048
Zeng, Zhonggang
3
2009
A rank-revealing method with updating, downdating, and applications. II. Zbl 1190.65058
Lee, Tsung-Lin; Li, Tien-Yien; Zeng, Zhonggang
3
2009
ApaTools: a software toolbox for approximate polynomial algebra. Zbl 1148.68581
Zeng, Zhonggang
10
2008
A numerical elimination method for polynomial computations. Zbl 1156.65049
Zeng, Zhonggang
4
2008
Computing the multiplicity structure in solving polynomial systems. Zbl 1360.65151
Dayton, Barry H.; Zeng, Zhonggang
57
2005
Computing multiple roots of inexact polynomials. Zbl 1079.12007
Zeng, Zhonggang
42
2005
A rank-revealing method with updating, downdating, and applications. Zbl 1114.15004
Li, T. Y.; Zeng, Zhonggang
20
2005
The approximate GCD of inexact polynomials. II: A multivariate algorithm. Zbl 1134.13313
Zeng, Zhonggang; Dayton, Barry H.
27
2004
A method computing multiple roots of inexact polynomials. Zbl 1072.68704
Zeng, Zhonggang
8
2003
The homotopy continuation algorithm for the real nonsymmetric eigenproblem: Further development and implementation. Zbl 0936.65040
Li, T. Y.; Zeng, Zhonggang
2
1999
The quasi-Laguerre iteration. Zbl 0854.65033
Du, Qiang; Jin, Ming; Li, T. Y.; Zeng, Z.
8
1997
Quasi-Laguerre iteration in solving symmetric tridiagonal eigenvalue problems. Zbl 0865.65021
Du, Qiang; Jin, Ming; Li, T. Y.; Zeng, Z.
3
1996
An efficient and accurate parallel algorithm for the singular value problem of bidiagonal matrices. Zbl 0823.65040
Li, T. Y.; Rhee, Noah H.; Zeng, Zhonggang
2
1995
A scalable eigenvalue solver for symmetric tridiagonal matrices. Zbl 0873.65033
Trefftz, C.; Huang, C. C.; McKinley, P. K.; Li, T.-Y.; Zeng, Z.
2
1995
The Laguerre iteration in solving the symmetric tridiagonal eigenproblem, revisited. Zbl 0809.65035
Li, T. Y.; Zeng, Zhonggang
7
1994
An algorithm for the generalized symmetric tridiagonal eigenvalue problem. Zbl 0821.65018
Li, Kuiyuan; Li, Tien-Yien; Zeng, Zhonggang
4
1994
Solving eigenvalue problems of real nonsymmetric matrices with real homotopies. Zbl 0749.65028
Li, T. Y.; Zeng, Zhonggang; Cong, Luan
12
1992
Homotopy-determinant algorithm for solving nonsymmetric eigenvalue problems. Zbl 0783.65034
Li, T. Y.; Zeng, Zhonggang
9
1992
Algorithms for two-dimensional transfer function computation. Zbl 0780.93058
Whalley, R.; Zeng, Z.
1
1992
all top 5

Cited by 267 Authors

16 Hauenstein, Jonathan D.
13 Sommese, Andrew John
12 Zeng, Zhonggang
10 Li, Tien-Yien
8 Peterson, Chris
8 Wampler, Charles W. II
8 Zhi, Lihong
7 Soleymani, Fazlollah
7 Verschelde, Jan
7 Winkler, Joab R.
6 Batselier, Kim
6 Szántó, Ágnes
5 De Moor, Bart L. R.
5 Li, Nan
5 Li, Zhe
5 Nagasaka, Kosaku
4 Cheng, Jinsan
4 Dreesen, Philippe
4 Frauendiener, Jörg
4 Klein, Christian
4 Pan, Victor Yakovlevich
3 Bates, Daniel J.
3 Cordero, Alicia
3 Geum, Young Hee
3 Karcanias, Nicos
3 Lao, Xin
3 Leykin, Anton
3 Markovsky, Ivan
3 Mitrouli, Marilena
3 Mourrain, Bernard
3 Shateyi, Stanford
3 Torregrosa Sanchez, Juan Ramón
3 Wu, Wenyuan
2 Alcazar, Juan Gerardo
2 Ammar, Gregory S.
2 Babajee, Diyashvir Kreetee Rajiv
2 Bourne, Martin
2 Calvetti, Daniela
2 Christou, Dimitrios
2 Dou, Xiaojie
2 Fazzi, Antonio
2 Feng, Erbao
2 Galántai, Aurél
2 Galligo, André
2 Giesbrecht, Mark W.
2 Golub, Gene Howard
2 Guglielmi, Nicola
2 Hao, Wenrui
2 Haraldson, Joseph
2 Hasan, Madina
2 Hegedus, Csaba J.
2 Kaltofen, Erich L.
2 Kim, Young Ik
2 Lee, Kisun
2 Lee, Tsung-Lin
2 Li, Kuiyuan
2 Luo, Zhongxuan
2 Mantzaflaris, Angelos
2 Mir, Nazir Ahmad
2 Moreno Maza, Marc
2 Petković, Ljiljana D.
2 Petković, Miodrag S.
2 Pouget, Marc
2 Quintero, Emily
2 Rafiq, Naila
2 Reichel, Lothar
2 Schost, Éric
2 Su, Yi
2 Triantafyllou, Dimitrios S.
2 Wong, Ngai-Ying
2 Xia, Bican
2 Yakoubsohn, Jean-Claude
2 Zhang, Shugong
1 Abbott, John A.
1 Adrovic, Danko
1 Al-Fhaid, Abdulrahman S.
1 Aris, Nor’aini
1 Ayyildiz Akoglu, Tulay
1 Bakhtiari, Parisa
1 Batenkov, Dmitry
1 Bates, Dan
1 Behl, Ramandeep
1 Belhaj, Skander
1 Bělík, Pavel
1 Ben Kahla, Haithem
1 Bendkowski, Maciej
1 Bodini, Olivier
1 Bracciali, Cleonice Fátima
1 Bréhard, Florent
1 Burr, Michael A.
1 Busé, Laurent
1 Carstensen, Carsten
1 Chang, Feng Cheng
1 Chang, Shing-Lin
1 Chèze, Guillaume
1 Chien, Cheng-Sheng
1 Corless, Robert Malcolm
1 Daleo, Noah S.
1 Dallas, Matt
1 D’Andrea, Carlos
...and 167 more Authors
all top 5

Cited in 60 Serials

23 Journal of Symbolic Computation
18 Journal of Computational and Applied Mathematics
15 Numerical Algorithms
12 Applied Mathematics and Computation
12 Theoretical Computer Science
9 Linear Algebra and its Applications
7 Mathematics of Computation
5 Computers & Mathematics with Applications
4 Journal of Complexity
4 SIAM Journal on Matrix Analysis and Applications
4 Foundations of Computational Mathematics
4 Journal of Systems Science and Complexity
4 Journal of Applied Mathematics
2 International Journal of Control
2 Journal of Algebra
2 Computer Aided Geometric Design
2 Journal of Scientific Computing
2 International Journal of Computer Mathematics
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 SIAM Journal on Scientific Computing
2 Discrete Dynamics in Nature and Society
2 Mathematics in Computer Science
1 Journal of Mathematical Analysis and Applications
1 Letters in Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 BIT
1 Calcolo
1 Computing
1 Journal of Pure and Applied Algebra
1 Mathematics and Computers in Simulation
1 Numerische Mathematik
1 SIAM Journal on Numerical Analysis
1 Applied Mathematics and Mechanics. (English Edition)
1 Acta Applicandae Mathematicae
1 Applied Numerical Mathematics
1 Discrete & Computational Geometry
1 Applied Mathematics Letters
1 Japan Journal of Industrial and Applied Mathematics
1 International Journal of Algebra and Computation
1 SIAM Review
1 Computational Statistics and Data Analysis
1 Applied Mathematics. Series B (English Edition)
1 Combinatorics, Probability and Computing
1 Numerical Linear Algebra with Applications
1 Vietnam Journal of Mathematics
1 Abstract and Applied Analysis
1 Mechanism and Machine Theory
1 Advances in Geometry
1 Computational Methods and Function Theory
1 Journal of Algebra and its Applications
1 International Journal of Numerical Analysis and Modeling
1 Optimization Letters
1 International Electronic Journal of Algebra (IEJA)
1 Science China. Information Sciences
1 ISRN Applied Mathematics
1 ISRN Computational Mathematics
1 Mathematics
1 Annales Henri Lebesgue

Citations by Year