Edit Profile (opens in new tab) Zeng, Zhonggang Co-Author Distance Author ID: zeng.zhonggang Published as: Zeng, Zhonggang; Zeng, Z.; Zeng, Zhong Gang more...less Documents Indexed: 46 Publications since 1984, including 3 Additional arXiv Preprints Co-Authors: 16 Co-Authors with 22 Joint Publications 550 Co-Co-Authors all top 5 Co-Authors 20 single-authored 16 Li, Tien-Yien 3 Dayton, Barry H. 2 Du, Qiang 2 Jin, Ming 2 Lee, Tsung-Lin 2 Li, Kuiyuan 2 McKinley, Philip K. 2 Trefftz, Christian 1 Bertozzi, Andrea Louise 1 Cong, Luan 1 Falcon, Claudia 1 Hao, Wenrui 1 Hunka, C. 1 Ji, Hangjie 1 Ju, Xin 1 Ju, Y. Sungtaek 1 Laffey, D. 1 Lei, Jingan 1 Lin, Xiaola 1 Ning, R. H. 1 Rhee, Noah H. 1 Sadeghpour, Abolfazl 1 Sommese, Andrew John 1 Whalley, Richard D. 1 Wu, Wenyuan 1 Yang, Xiaozhuo all top 5 Serials 5 Mathematics of Computation 4 SIAM Journal on Matrix Analysis and Applications 3 SIAM Journal on Scientific Computing 2 Numerical Algorithms 1 Journal of Fluid Mechanics 1 ACM Transactions on Mathematical Software 1 Journal of the Operational Research Society 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Theoretical Computer Science 1 Numerical Mathematics 1 Journal of Mathematics. Wuhan University 1 Journal of Wuhan University. Natural Science Edition 1 Parallel Computing 1 Applied Mathematical Modelling 1 International Journal of Modern Physics C 1 Foundations of Computational Mathematics 1 ACM Communications in Computer Algebra all top 5 Fields 37 Numerical analysis (65-XX) 10 Computer science (68-XX) 8 Field theory and polynomials (12-XX) 6 Commutative algebra (13-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Operator theory (47-XX) 3 Real functions (26-XX) 2 Partial differential equations (35-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 305 times in 188 Documents Cited by ▼ Year ▼ Computing the multiplicity structure in solving polynomial systems. Zbl 1360.65151 Dayton, Barry H.; Zeng, Zhonggang 56 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. 26 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 12 2009 Solving eigenvalue problems of real nonsymmetric matrices with real homotopies. Zbl 0749.65028 Li, T. Y.; Zeng, Zhonggang; Cong, Luan 12 1992 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 ApaTools: a software toolbox for approximate polynomial algebra. Zbl 1148.68581 Zeng, Zhonggang 10 2008 Homotopy-determinant algorithm for solving nonsymmetric eigenvalue problems. Zbl 0783.65034 Li, T. Y.; Zeng, Zhonggang 9 1992 A method computing multiple roots of inexact polynomials. Zbl 1072.68704 Zeng, Zhonggang 8 2003 The quasi-Laguerre iteration. Zbl 0854.65033 Du, Qiang; Jin, Ming; Li, T. Y.; Zeng, Z. 8 1997 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 A rank-revealing method with updating, downdating, and applications. II. Zbl 1190.65058 Lee, Tsung-Lin; Li, Tien-Yien; Zeng, Zhonggang 3 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 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 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 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 12 2009 Regularization and matrix computation in numerical polynomial algebra. Zbl 1191.65036 Zeng, Zhonggang 4 2009 A rank-revealing method with updating, downdating, and applications. II. Zbl 1190.65058 Lee, Tsung-Lin; Li, Tien-Yien; Zeng, Zhonggang 3 2009 The approximate irreducible factorization of a univariate polynomial. Revisited. Zbl 1237.65048 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 56 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. 26 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 cited Publications top 5 cited Publications all top 5 Cited by 261 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 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 Bělík, Pavel 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 1 Dayton, Barry H. 1 De Lathauwer, Lieven 1 Decker, Wolfram ...and 161 more Authors all top 5 Cited in 59 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 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 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Computer Aided Geometric Design 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 all top 5 Cited in 33 Fields 143 Numerical analysis (65-XX) 55 Computer science (68-XX) 41 Commutative algebra (13-XX) 37 Algebraic geometry (14-XX) 28 Field theory and polynomials (12-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 11 Real functions (26-XX) 10 Functions of a complex variable (30-XX) 9 Number theory (11-XX) 5 Operations research, mathematical programming (90-XX) 4 Approximations and expansions (41-XX) 3 Special functions (33-XX) 3 Partial differential equations (35-XX) 3 Systems theory; control (93-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Mathematics education (97-XX) Citations by Year