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Journal Articles
- 2018
[j30]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)- 2015
- [j29]Tianran Chen, Tien-Yien Li:
Homotopy continuation method for solving systems of nonlinear and polynomial equations. Commun. Inf. Syst. 15(2): 119-307 (2015) - 2014
- [j28]Tianran Chen, Tien-Yien Li, Xiaoshen Wang:
Theoretical aspects of mixed volume computation via mixed subdivision. Commun. Inf. Syst. 14(4): 213-242 (2014) - 2013
- [j27]Zhonggang Zeng, Tien-Yien Li:
NAClab: a Matlab toolbox for numerical algebraic computation. ACM Commun. Comput. Algebra 47(3/4): 170-173 (2013) - 2012
- [j26]Tianran Chen, Tien-Yien Li:
Spherical projective path tracking for homotopy continuation methods. Commun. Inf. Syst. 12(3): 195-220 (2012) - 2011
- [j25]Barry H. Dayton, Tien-Yien Li, Zhonggang Zeng:
Multiple zeros of nonlinear systems. Math. Comput. 80(276): 2143-2168 (2011) - 2009
- [j24]Tien-Yien Li, Chih-Hsiung Tsai:
HOM4PS-2.0para: Parallelization of HOM4PS-2.0 for solving polynomial systems. Parallel Comput. 35(4): 226-238 (2009) - [j23]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) - 2008
- [j22]Tsung-Lin Lee, Tien-Yien Li, Chih-Hsiung Tsai:
HOM4PS-2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation method. Computing 83(2-3): 109-133 (2008) - 2005
- [j21]Tien-Yien Li, Zhonggang Zeng:
A Rank-Revealing Method with Updating, Downdating, and Applications. SIAM J. Matrix Anal. Appl. 26(4): 918-946 (2005) - [j20]Tangan Gao, Tien-Yien Li, Mengnien Wu:
Algorithm 846: MixedVol: a software package for mixed-volume computation. ACM Trans. Math. Softw. 31(4): 555-560 (2005) - 2003
- [j19]Tangan Gao, Tien-Yien Li:
Mixed Volume Computation for Semi-Mixed Systems. Discret. Comput. Geom. 29(2): 257-277 (2003) - [j18]Tien-Yien Li, J. Maurice Rojas, Xiaoshen Wang:
Counting Real Connected Components of Trinomial Curve Intersections and m-nomial Hypersurfaces. Discret. Comput. Geom. 30(3): 379-414 (2003) - 2002
- [j17]Tien-Yien Li, Xiaoshen Wang, Mengnien Wu:
Numerical Schubert Calculus by the Pieri Homotopy Algorithm. SIAM J. Numer. Anal. 40(2): 578-600 (2002) - 2001
- [j16]Tien-Yien Li, Xing Li:
Finding Mixed Cells in the Mixed Volume Computation. Found. Comput. Math. 1(2): 161-181 (2001) - 2000
- [j15]Tangan Gao, Tien-Yien Li, Jan Verschelde, Mengnien Wu:
Balancing the lifting values to improve the numerical stability of polyhedral homotopy continuation methods. Appl. Math. Comput. 114(2-3): 233-247 (2000) - 1999
- [j14]Tangan Gao, Tien-Yien Li, Xiaoshen Wang:
Finding All Isolated Zeros of Polynomial Systems inCnvia Stable Mixed Volumes. J. Symb. Comput. 28(1-2): 187-211 (1999) - [j13]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) - [j12]Tien-Yien Li, Xiulin Zou:
Implementing the Parallel Quasi-Laguerre's Algorithm for Symmetric Tridiagonal Eigenproblems. SIAM J. Sci. Comput. 20(6): 1954-1963 (1999) - 1998
- [j11]Tien-Yien Li, Xiaoshen Wang:
Counterexamples to the Connectivity Conjecture of the Mixed Cells. Discret. Comput. Geom. 20(4): 515-521 (1998) - 1997
- [j10]Qiang Du, Ming Jin, Tien-Yien Li, Zhonggang Zeng:
The quasi-Laguerre iteration. Math. Comput. 66(217): 345-361 (1997) - 1996
- [j9]Tien-Yien Li, Xiaoshen Wang:
The BKK root count in Cn. Math. Comput. 65(216): 1477-1484 (1996) - [j8]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
- [j7]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) - 1994
- [j6]Kuiyuan Li, Tien-Yien Li, Zhonggang Zeng:
An algorithm for the generalized symmetric tridiagonal eigenvalue problem. Numer. Algorithms 8(2): 269-291 (1994) - [j5]Tien-Yien Li, Zhonggang Zeng:
The Laguerre Iteration in Solving the Symmetric Tridiagonal Eigenproblem, Revisited. SIAM J. Sci. Comput. 15(5): 1145-1173 (1994) - 1993
- [j4]Kuiyuan Li, Tien-Yien Li:
A homotopy algorithm for a symmetric generalized eigenproblem. Numer. Algorithms 4(1): 167-195 (1993) - [j3]Kuiyuan Li, Tien-Yien Li:
An Algorithm for Symmetric Tridiagonal Eigenproblems: Divide and Conquer with Homotopy Continuation. SIAM J. Sci. Comput. 14(3): 735-751 (1993) - 1991
- [j2]Jiu Ding, Tien-Yien Li:
A Polynomial-Time Predictor-Corrector Algorithm for a Class of Linear Complementarity Problems. SIAM J. Optim. 1(1): 83-92 (1991) - [j1]Tien-Yien Li, Hong Zhang, Xian-He Sun:
Parallel Homotopy Algorithm for the Symmetric Tridiagonal Eigenvalue Problem. SIAM J. Sci. Comput. 12(3): 469-487 (1991)
Conference and Workshop Papers
- 2014
- [c6]Tianran Chen, Tsung-Lin Lee, Tien-Yien Li:
Hom4PS-3: A Parallel Numerical Solver for Systems of Polynomial Equations Based on Polyhedral Homotopy Continuation Methods. ICMS 2014: 183-190 - 1996
- [c5]Tien-Yien Li, Xiulin Zou:
Implementing the Parallel Quasi-Laguerre's Algorithm for Symmetric Tridiagonal Eigenproblems. Euro-Par, Vol. II 1996: 44-51 - 1995
- [c4]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 - 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
Informal and Other Publications
- 2021
- [i2]Zhonggang Zeng, Tien-Yien Li:
A numerical method for computing the Jordan Canonical Form. CoRR abs/2103.02086 (2021) - [i1]Barry H. Dayton, Tien-Yien Li, Zhonggang Zeng:
Multiple zeros of nonlinear systems. CoRR abs/2103.05738 (2021)
Coauthor Index
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