Tien-Yien Li

CoRR, 2021

2018

RankRev: aMatlab package for computing the numerical rank and updating/downdating.

[BibT_eX]

[DOI]

Numer. Algorithms, 2018

2015

Homotopy continuation method for solving systems of nonlinear and polynomial equations.

[BibT_eX]

[DOI]

Commun. Inf. Syst., 2015

2014

Theoretical aspects of mixed volume computation via mixed subdivision.

[BibT_eX]

[DOI]

Commun. Inf. Syst., 2014

Hom4PS-3: A Parallel Numerical Solver for Systems of Polynomial Equations Based on Polyhedral Homotopy Continuation Methods.

[BibT_eX]

[DOI]

Proceedings of the Mathematical Software - ICMS 2014, 2014

2013

NAClab: a Matlab toolbox for numerical algebraic computation.

[BibT_eX]

[DOI]

ACM Commun. Comput. Algebra, 2013

2012

Spherical projective path tracking for homotopy continuation methods.

[BibT_eX]

[DOI]

Commun. Inf. Syst., 2012

2011

Multiple zeros of nonlinear systems.

[BibT_eX]

[DOI]

Barry H. Dayton

Math. Comput., 2011

2009

A Rank-Revealing Method with Updating, Downdating, and Applications. Part II.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2009

HOM4PS-2.0para: Parallelization of HOM4PS-2.0 for solving polynomial systems.

[BibT_eX]

[DOI]

Chih-Hsiung Tsai

Parallel Comput., 2009

2008

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

[BibT_eX]

[DOI]

Chih-Hsiung Tsai

Computing, 2008

2005

Algorithm 846: MixedVol: a software package for mixed-volume computation.

[BibT_eX]

[DOI]

Tangan Gao

Mengnien Wu

ACM Trans. Math. Softw., 2005

A Rank-Revealing Method with Updating, Downdating, and Applications.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2005

2003

Counting Real Connected Components of Trinomial Curve Intersections and m-nomial Hypersurfaces.

[BibT_eX]

[DOI]

J. Maurice Rojas

Discret. Comput. Geom., 2003

Mixed Volume Computation for Semi-Mixed Systems.

[BibT_eX]

[DOI]

Tangan Gao

Discret. Comput. Geom., 2003

2002

Numerical Schubert Calculus by the Pieri Homotopy Algorithm.

[BibT_eX]

[DOI]

Mengnien Wu

SIAM J. Numer. Anal., 2002

2001

Finding Mixed Cells in the Mixed Volume Computation.

[BibT_eX]

[DOI]

Xing Li

Found. Comput. Math., 2001

2000

Balancing the lifting values to improve the numerical stability of polyhedral homotopy continuation methods.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2000

1999

Implementing the Parallel Quasi-Laguerre's Algorithm for Symmetric Tridiagonal Eigenproblems.

[BibT_eX]

[DOI]

Xiulin Zou

SIAM J. Sci. Comput., 1999

The Homotopy Continuation Algorithm for the Real Nonsymmetric Eigenproblem: Further Development and Implementation.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 1999

Finding All Isolated Zeros of Polynomial Systems inCnvia Stable Mixed Volumes.

[BibT_eX]

[DOI]

Tangan Gao

J. Symb. Comput., 1999

1998

Counterexamples to the Connectivity Conjecture of the Mixed Cells.

[BibT_eX]

[DOI]

Discret. Comput. Geom., 1998

1997

The quasi-Laguerre iteration.

[BibT_eX]

[DOI]

Math. Comput., 1997

1996

Quasi-Laguerre Iteration in Solving Symmetric Tridiagonal Eigenvalue Problems.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 1996

The BKK root count in C<sup>n</sup>.

[BibT_eX]

[DOI]

Math. Comput., 1996

1995

A Scalable Eigenvalue Solver for Symmetric Tridiagonal Matrices.

[BibT_eX]

[DOI]

Parallel Comput., 1995

A Parallel Algorithm for the Singular Value Problem in Bidiagonal Matrices.

[BibT_eX]

Proceedings of the Seventh SIAM Conference on Parallel Processing for Scientific Computing, 1995

1994

The Laguerre Iteration in Solving the Symmetric Tridiagonal Eigenproblem, Revisited.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 1994

An algorithm for the generalized symmetric tridiagonal eigenvalue problem.

[BibT_eX]

[DOI]

Kuiyuan Li

Numer. Algorithms, 1994

Design and Performance Evaluation of a Distributed Eigenvalue Solver on a Workstation Cluster.

[BibT_eX]

[DOI]

Proceedings of the 14th International Conference on Distributed Computing Systems, 1994

1993

An Algorithm for Symmetric Tridiagonal Eigenproblems: Divide and Conquer with Homotopy Continuation.

[BibT_eX]

[DOI]

Kuiyuan Li

SIAM J. Sci. Comput., 1993

A homotopy algorithm for a symmetric generalized eigenproblem.

[BibT_eX]

[DOI]

Kuiyuan Li

Numer. Algorithms, 1993

A Scalable Eigenvalue Solver for Symmetric Tridiagonal Matrices.

[BibT_eX]

Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, 1993

1991

Parallel Homotopy Algorithm for the Symmetric Tridiagonal Eigenvalue Problem.

[BibT_eX]

[DOI]

Hong Zhang

Xian-He Sun

SIAM J. Sci. Comput., 1991

A Polynomial-Time Predictor-Corrector Algorithm for a Class of Linear Complementarity Problems.

[BibT_eX]

[DOI]

Jiu Ding

SIAM J. Optim., 1991

An Efficient Parallel Homotopy Algorithm for Nonsymmetric Eigenvalue Problems with <i>O(N)</i> Running Time.

[BibT_eX]

Xiaola Lin