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Zhonggang Zeng
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2020 – today
- 2023
- [j22]Zhonggang Zeng:
A Newton's iteration converges quadratically to nonisolated solutions too. Math. Comput. 92(344): 2795-2824 (2023) - [i10]Zhonggang Zeng:
Computing multiple roots of inexact polynomials. CoRR abs/2301.07880 (2023) - 2021
- [i9]Zhonggang Zeng:
A Newton's Iteration Converges Quadratically to Nonisolated Solutions Too. CoRR abs/2101.09180 (2021) - [i8]Zhonggang Zeng:
Geometric modeling and regularization of algebraic problems. CoRR abs/2102.08330 (2021) - [i7]Zhonggang Zeng:
Singular algebraic equations with empirical data. CoRR abs/2102.09496 (2021) - [i6]Zhonggang Zeng:
On the sensitivity of singular and ill-Conditioned linear systems. CoRR abs/2102.09739 (2021) - [i5]Zhonggang Zeng, Tien-Yien Li:
A numerical method for computing the Jordan Canonical Form. CoRR abs/2103.02086 (2021) - [i4]Zhonggang Zeng:
Sensitivity and computation of a defective eigenvalue. CoRR abs/2103.03185 (2021) - [i3]Zhonggang Zeng:
The numerical greatest common divisor of univariate polynomials. CoRR abs/2103.04196 (2021) - [i2]Wenyuan Wu, Zhonggang Zeng:
The numerical factorization of polynomials. CoRR abs/2103.04888 (2021) - [i1]Barry H. Dayton, Tien-Yien Li, Zhonggang Zeng:
Multiple zeros of nonlinear systems. CoRR abs/2103.05738 (2021) - 2020
- [c11]Zhonggang Zeng:
Geometric modeling and regularization of algebraic problems. ISSAC 2020: 458-465
2010 – 2019
- 2019
- [j21]Zhonggang Zeng
:
On the Sensitivity of Singular and Ill-Conditioned Linear Systems. SIAM J. Matrix Anal. Appl. 40(3): 918-942 (2019) - 2018
- [j20]Tsung-Lin Lee
, Tien-Yien Li, Zhonggang Zeng:
RankRev: aMatlab package for computing the numerical rank and updating/downdating. Numer. Algorithms 77(2): 559-576 (2018) - [c10]Zhonggang Zeng:
Intuitive Interface for Solving Linear and Nonlinear System of Equations. ICMS 2018: 498-506 - 2017
- [j19]Wenyuan Wu, Zhonggang Zeng:
The Numerical Factorization of Polynomials. Found. Comput. Math. 17(1): 259-286 (2017) - 2016
- [j18]Zhonggang Zeng:
Sensitivity and Computation of a Defective Eigenvalue. SIAM J. Matrix Anal. Appl. 37(2): 798-817 (2016) - 2013
- [j17]Zhonggang Zeng, Tien-Yien Li:
NAClab: a Matlab toolbox for numerical algebraic computation. ACM Commun. Comput. Algebra 47(3/4): 170-173 (2013) - [j16]Wenrui Hao
, Andrew J. Sommese, Zhonggang Zeng:
Algorithm 931: An algorithm and software for computing multiplicity structures at zeros of nonlinear systems. ACM Trans. Math. Softw. 40(1): 5:1-5:16 (2013) - 2011
- [j15]Barry H. Dayton, Tien-Yien Li, Zhonggang Zeng:
Multiple zeros of nonlinear systems. Math. Comput. 80(276): 2143-2168 (2011)
2000 – 2009
- 2009
- [j14]Tsung-Lin Lee, Tien-Yien Li, Zhonggang Zeng:
A Rank-Revealing Method with Updating, Downdating, and Applications. Part II. SIAM J. Matrix Anal. Appl. 31(2): 503-525 (2009) - [c9]Zhonggang Zeng:
The approximate irreducible factorization of a univariate polynomial: revisited. ISSAC 2009: 367-374 - 2008
- [j13]Zhonggang Zeng:
ApaTools: a software toolbox for approximate polynomial algebra. ACM Commun. Comput. Algebra 42(3): 177-179 (2008) - [j12]Zhonggang Zeng:
A numerical elimination method for polynomial computations. Theor. Comput. Sci. 409(2): 318-331 (2008) - 2006
- [j11]Ágnes Szántó, Jan Verschelde, Zhonggang Zeng:
Symbolic-numeric computation and applications: list of abstracts. ACM Commun. Comput. Algebra 40(1): 15-17 (2006) - 2005
- [j10]Zhonggang Zeng:
Computing multiple roots of inexact polynomials. Math. Comput. 74(250) (2005) - [j9]Tien-Yien Li, Zhonggang Zeng:
A Rank-Revealing Method with Updating, Downdating, and Applications. SIAM J. Matrix Anal. Appl. 26(4): 918-946 (2005) - [c8]Barry H. Dayton, Zhonggang Zeng:
Computing the multiplicity structure in solving polynomial systems. ISSAC 2005: 116-123 - 2004
- [j8]Zhonggang Zeng:
A Matlab package computing polynomial roots and multiplicities. SIGSAM Bull. 38(1): 28-29 (2004) - [j7]Zhonggang Zeng:
Algorithm 835: MultRoot - a Matlab package for computing polynomial roots and multiplicities. ACM Trans. Math. Softw. 30(2): 218-236 (2004) - [c7]Zhonggang Zeng, Barry H. Dayton:
The approximate GCD of inexact polynomials. ISSAC 2004: 320-327 - 2003
- [c6]Zhonggang Zeng:
A method computing multiple roots of inexact polynomials. ISSAC 2003: 266-272
1990 – 1999
- 1999
- [j6]Tien-Yien Li, Zhonggang Zeng:
The Homotopy Continuation Algorithm for the Real Nonsymmetric Eigenproblem: Further Development and Implementation. SIAM J. Sci. Comput. 20(5): 1627-1651 (1999) - 1997
- [j5]Qiang Du
, Ming Jin, Tien-Yien Li, Zhonggang Zeng:
The quasi-Laguerre iteration. Math. Comput. 66(217): 345-361 (1997) - 1996
- [j4]Qiang Du
, Ming Jin, Tien-Yien Li, Zhonggang Zeng:
Quasi-Laguerre Iteration in Solving Symmetric Tridiagonal Eigenvalue Problems. SIAM J. Sci. Comput. 17(6): 1347-1368 (1996) - 1995
- [j3]Christian Trefftz, C. C. Huang, Philip K. McKinley, Tien-Yien Li, Zhonggang Zeng:
A Scalable Eigenvalue Solver for Symmetric Tridiagonal Matrices. Parallel Comput. 21(8): 1213-1240 (1995) - [c5]Christian Trefftz, Philip K. McKinley, Tien-Yien Li, Zhonggang Zeng:
A Parallel Algorithm for the Singular Value Problem in Bidiagonal Matrices. PP 1995: 62-67 - [c4]Kuiyuan Li, Xiaozhuo Yang, Zhonggang Zeng:
A Parallel Algorithm for Banded Eigenvalue Problems. PP 1995: 558-563 - 1994
- [j2]Kuiyuan Li, Tien-Yien Li, Zhonggang Zeng:
An algorithm for the generalized symmetric tridiagonal eigenvalue problem. Numer. Algorithms 8(2): 269-291 (1994) - [j1]Tien-Yien Li, Zhonggang Zeng:
The Laguerre Iteration in Solving the Symmetric Tridiagonal Eigenproblem, Revisited. SIAM J. Sci. Comput. 15(5): 1145-1173 (1994) - [c3]Christian Trefftz, C. C. Huang, Philip K. McKinley, Tien-Yien Li, Zhonggang Zeng:
Design and Performance Evaluation of a Distributed Eigenvalue Solver on a Workstation Cluster. ICDCS 1994: 608-615 - 1993
- [c2]Christian Trefftz, Philip K. McKinley, Tien-Yien Li, Zhonggang Zeng:
A Scalable Eigenvalue Solver for Symmetric Tridiagonal Matrices. PPSC 1993: 602-609 - 1991
- [c1]Zhonggang Zeng, Xiaola Lin, Tien-Yien Li:
An Efficient Parallel Homotopy Algorithm for Nonsymmetric Eigenvalue Problems with O(N) Running Time. PP 1991: 29-33
Coauthor Index
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