Tien-Yien Li - researchr alias

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Viewing Publication 1 - 31 from 31

2018

RankRev: aMatlab package for computing the numerical rank and updating/downdatingTsung-Lin Lee, Tien-Yien Li, Zhonggang Zeng. na, 77(2):559-576, 2018. [doi]

2015

Homotopy continuation method for solving systems of nonlinear and polynomial equationsTianran Chen, Tien-Yien Li. cominfsys, 15(2):119-307, 2015. [doi]

2014

Hom4PS-3: A Parallel Numerical Solver for Systems of Polynomial Equations Based on Polyhedral Homotopy Continuation MethodsTianran Chen, Tsung-Lin Lee, Tien-Yien Li. icms 2014: 183-190 [doi]

Theoretical aspects of mixed volume computation via mixed subdivisionTianran Chen, Tien-Yien Li, Xiaoshen Wang. cominfsys, 14(4):213-242, 2014. [doi]

2013

NAClab: a Matlab toolbox for numerical algebraic computationZhonggang Zeng, Tien-Yien Li. cca, 47(3/4):170-173, 2013. [doi]

2012

Spherical projective path tracking for homotopy continuation methodsTianran Chen, Tien-Yien Li. cominfsys, 12(3):195-220, 2012. [doi]

2011

Multiple zeros of nonlinear systemsBarry H. Dayton, Tien-Yien Li, Zhonggang Zeng. moc, 80(276):2143-2168, 2011. [doi]

2009

A Rank-Revealing Method with Updating, Downdating, and Applications. Part IITsung-Lin Lee, Tien-Yien Li, Zhonggang Zeng. siammax, 31(2):503-525, 2009. [doi]

HOM4PS-2.0para: Parallelization of HOM4PS-2.0 for solving polynomial systemsTien-Yien Li, Chih-Hsiung Tsai. pc, 35(4):226-238, 2009. [doi]

2008

HOM4PS-2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation methodTsung-Lin Lee, Tien-Yien Li, Chih-Hsiung Tsai. computing, 83(2-3):109-133, 2008. [doi]

2005

A Rank-Revealing Method with Updating, Downdating, and ApplicationsTien-Yien Li, Zhonggang Zeng. siammax, 26(4):918-946, 2005. [doi]

2003

Mixed Volume Computation for Semi-Mixed SystemsTangan Gao, Tien-Yien Li. dcg, 29(2):257-277, 2003. [doi]

Counting Real Connected Components of Trinomial Curve Intersections and m-nomial HypersurfacesTien-Yien Li, J. Maurice Rojas, Xiaoshen Wang. dcg, 30(3):379-414, 2003. [doi]

2002

Numerical Schubert Calculus by the Pieri Homotopy AlgorithmTien-Yien Li, Xiaoshen Wang, Mengnien Wu. siamnum, 40(2):578-600, 2002. [doi]

1999

Finding All Isolated Zeros of Polynomial Systems inCnvia Stable Mixed VolumesTangan Gao, Tien-Yien Li, Xiaoshen Wang. JSC, 28(1-2):187-211, 1999.

The Homotopy Continuation Algorithm for the Real Nonsymmetric Eigenproblem: Further Development and ImplementationTien-Yien Li, Zhonggang Zeng. siamsc, 20(5):1627-1651, 1999. [doi]

1998

Counterexamples to the Connectivity Conjecture of the Mixed CellsTien-Yien Li, Xiaoshen Wang. dcg, 20(4):515-521, 1998. [doi]

1997

The quasi-Laguerre iterationQiang Du, Ming Jin, Tien-Yien Li, Z. Zeng. moc, 66(217):345-361, 1997.

1996

Quasi-Laguerre Iteration in Solving Symmetric Tridiagonal Eigenvalue ProblemsQiang Du, Ming Jin, Tien-Yien Li, Zhonggang Zeng. siamsc, 17(6):1347-1368, 1996. [doi]

The BKK root count in C:::n:::Tien-Yien Li, Xiaoshen Wang. moc, 65(216):1477-1484, 1996.

1995

A Parallel Algorithm for the Singular Value Problem in Bidiagonal MatricesChristian Trefftz, Philip K. McKinley, Tien-Yien Li, Z. Zeng. ppsc 1995: 62-67

A Scalable Eigenvalue Solver for Symmetric Tridiagonal MatricesChristian Trefftz, C.-C. Huang, Philip K. McKinley, Tien-Yien Li, Z. Zeng. pc, 21(8):1213-1240, 1995.

1994

The Laguerre Iteration in Solving the Symmetric Tridiagonal Eigenproblem, RevisitedTien-Yien Li, Zhonggang Zeng. siamsc, 15(5):1145-1173, 1994. [doi]

An algorithm for the generalized symmetric tridiagonal eigenvalue problemKuiyuan Li, Tien-Yien Li, Zhonggang Zeng. na, 8(2):269-291, 1994. [doi]

Design and Performance Evaluation of a Distributed Eigenvalue Solver on a Workstation ClusterChristian Trefftz, C.-C. Huang, Philip K. McKinley, Tien-Yien Li, Z. Zeng. icdcs 1994: 608-615

1993

An Algorithm for Symmetric Tridiagonal Eigenproblems: Divide and Conquer with Homotopy ContinuationKuiyuan Li, Tien-Yien Li. siamsc, 14(3):735-751, 1993. [doi]

A homotopy algorithm for a symmetric generalized eigenproblemKuiyuan Li, Tien-Yien Li. na, 4(1):167-195, 1993. [doi]

A Scalable Eigenvalue Solver for Symmetric Tridiagonal MatricesChristian Trefftz, Philip K. McKinley, Tien-Yien Li, Zhonggang Zeng. ppsc 1993: 602-609

1991

A Polynomial-Time Predictor-Corrector Algorithm for a Class of Linear Complementarity ProblemsJiu Ding, Tien-Yien Li. siamjo, 1(1):83-92, 1991. [doi]

Parallel Homotopy Algorithm for the Symmetric Tridiagonal Eigenvalue ProblemTien-Yien Li, Hong Zhang, Xian-He Sun. siamsc, 12(3):469-487, 1991. [doi]

An Efficient Parallel Homotopy Algorithm for Nonsymmetric Eigenvalue Problems with ::::O(N):::: Running TimeZhonggang Zeng, Xiaola Lin, Tien-Yien Li. ppsc 1992: 29-33

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