Tien-Yien Li

According to our database1, Tien-Yien Li authored at least 36 papers between 1991 and 2021.

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Bibliography

2021
A numerical method for computing the Jordan Canonical Form.
CoRR, 2021

2018
RankRev: aMatlab package for computing the numerical rank and updating/downdating.
Numer. Algorithms, 2018

2015
Homotopy continuation method for solving systems of nonlinear and polynomial equations.
Commun. Inf. Syst., 2015

2014
Theoretical aspects of mixed volume computation via mixed subdivision.
Commun. Inf. Syst., 2014

Hom4PS-3: A Parallel Numerical Solver for Systems of Polynomial Equations Based on Polyhedral Homotopy Continuation Methods.
Proceedings of the Mathematical Software - ICMS 2014, 2014

2013
NAClab: a Matlab toolbox for numerical algebraic computation.
ACM Commun. Comput. Algebra, 2013

2012
Spherical projective path tracking for homotopy continuation methods.
Commun. Inf. Syst., 2012

2011
Multiple zeros of nonlinear systems.
Math. Comput., 2011

2009
A Rank-Revealing Method with Updating, Downdating, and Applications. Part II.
SIAM J. Matrix Anal. Appl., 2009

HOM4PS-2.0para: Parallelization of HOM4PS-2.0 for solving polynomial systems.
Parallel Comput., 2009

2008
HOM4PS-2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation method.
Computing, 2008

2005
Algorithm 846: MixedVol: a software package for mixed-volume computation.
ACM Trans. Math. Softw., 2005

A Rank-Revealing Method with Updating, Downdating, and Applications.
SIAM J. Matrix Anal. Appl., 2005

2003
Counting Real Connected Components of Trinomial Curve Intersections and m-nomial Hypersurfaces.
Discret. Comput. Geom., 2003

Mixed Volume Computation for Semi-Mixed Systems.
Discret. Comput. Geom., 2003

2002
Numerical Schubert Calculus by the Pieri Homotopy Algorithm.
SIAM J. Numer. Anal., 2002

2001
Finding Mixed Cells in the Mixed Volume Computation.
Found. Comput. Math., 2001

2000
Balancing the lifting values to improve the numerical stability of polyhedral homotopy continuation methods.
Appl. Math. Comput., 2000

1999
Implementing the Parallel Quasi-Laguerre's Algorithm for Symmetric Tridiagonal Eigenproblems.
SIAM J. Sci. Comput., 1999

The Homotopy Continuation Algorithm for the Real Nonsymmetric Eigenproblem: Further Development and Implementation.
SIAM J. Sci. Comput., 1999

Finding All Isolated Zeros of Polynomial Systems inCnvia Stable Mixed Volumes.
J. Symb. Comput., 1999

1998
Counterexamples to the Connectivity Conjecture of the Mixed Cells.
Discret. Comput. Geom., 1998

1997
The quasi-Laguerre iteration.
Math. Comput., 1997

1996
Quasi-Laguerre Iteration in Solving Symmetric Tridiagonal Eigenvalue Problems.
SIAM J. Sci. Comput., 1996

The BKK root count in C<sup>n</sup>.
Math. Comput., 1996

1995
A Scalable Eigenvalue Solver for Symmetric Tridiagonal Matrices.
Parallel Comput., 1995

A Parallel Algorithm for the Singular Value Problem in Bidiagonal Matrices.
Proceedings of the Seventh SIAM Conference on Parallel Processing for Scientific Computing, 1995

1994
The Laguerre Iteration in Solving the Symmetric Tridiagonal Eigenproblem, Revisited.
SIAM J. Sci. Comput., 1994

An algorithm for the generalized symmetric tridiagonal eigenvalue problem.
Numer. Algorithms, 1994

Design and Performance Evaluation of a Distributed Eigenvalue Solver on a Workstation Cluster.
Proceedings of the 14th International Conference on Distributed Computing Systems, 1994

1993
An Algorithm for Symmetric Tridiagonal Eigenproblems: Divide and Conquer with Homotopy Continuation.
SIAM J. Sci. Comput., 1993

A homotopy algorithm for a symmetric generalized eigenproblem.
Numer. Algorithms, 1993

A Scalable Eigenvalue Solver for Symmetric Tridiagonal Matrices.
Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, 1993

1991
Parallel Homotopy Algorithm for the Symmetric Tridiagonal Eigenvalue Problem.
SIAM J. Sci. Comput., 1991

A Polynomial-Time Predictor-Corrector Algorithm for a Class of Linear Complementarity Problems.
SIAM J. Optim., 1991

An Efficient Parallel Homotopy Algorithm for Nonsymmetric Eigenvalue Problems with <i>O(N)</i> Running Time.
Proceedings of the Fifth SIAM Conference on Parallel Processing for Scientific Computing, 1991


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