polyhedral homotopy Latest Research Papers

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

Mathematical Software – ICMS 2014 - Lecture Notes in Computer Science ◽

10.1007/978-3-662-44199-2_30 ◽

2014 ◽

pp. 183-190 ◽

Cited By ~ 13

Author(s):

Tianran Chen ◽

Tsung-Lin Lee ◽

Tien-Yien Li

Keyword(s):

Continuation Methods ◽

Homotopy Continuation ◽

Polynomial Equations ◽

Polyhedral Homotopy ◽

Homotopy Continuation Methods ◽

Numerical Solver ◽

Systems Of Polynomial Equations

Download Full-text

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

Computing ◽

10.1007/s00607-008-0015-6 ◽

2008 ◽

Vol 83 (2-3) ◽

pp. 109-133 ◽

Cited By ~ 120

Author(s):

T. L. Lee ◽

T. Y. Li ◽

C. H. Tsai

Keyword(s):

Software Package ◽

Continuation Method ◽

Polynomial Systems ◽

Homotopy Continuation ◽

Polyhedral Homotopy ◽

Homotopy Continuation Method

Download Full-text

Parallel Implementation of the Polyhedral Homotopy Method

2006 International Conference on Parallel Processing Workshops (ICPPW'06) ◽

10.1109/icppw.2006.61 ◽

2006 ◽

Cited By ~ 4

Author(s):

J. Verschelde ◽

Y. Zhuang

Keyword(s):

Parallel Implementation ◽

Homotopy Method ◽

Polyhedral Homotopy

Download Full-text

PHoMpara – Parallel Implementation of the Polyhedral Homotopy Continuation Method for Polynomial Systems

Computing ◽

10.1007/s00607-006-0166-2 ◽

2006 ◽

Vol 77 (4) ◽

pp. 387-411 ◽

Cited By ~ 9

Author(s):

T. Gunji ◽

S. Kim ◽

K. Fujisawa ◽

M. Kojima

Keyword(s):

Parallel Implementation ◽

Continuation Method ◽

Polynomial Systems ◽

Homotopy Continuation ◽

Polyhedral Homotopy ◽

Homotopy Continuation Method

Download Full-text

Numerical Stability of Path Tracing in Polyhedral Homotopy Continuation Methods

Computing ◽

10.1007/s00607-004-0070-6 ◽

2004 ◽

Vol 73 (4) ◽

pp. 329-348 ◽

Cited By ~ 9

Author(s):

S. Kim ◽

M. Kojima

Keyword(s):

Numerical Stability ◽

Continuation Methods ◽

Homotopy Continuation ◽

Polyhedral Homotopy ◽

Path Tracing ◽

Homotopy Continuation Methods

Download Full-text

PHoM ? a Polyhedral Homotopy Continuation Method for Polynomial Systems

Computing ◽

10.1007/s00607-003-0032-4 ◽

2004 ◽

Vol 73 (1) ◽

Cited By ~ 39

Author(s):

Takayuki Gunji ◽

Sunyoung Kim ◽

Masakazu Kojima ◽

Akiko Takeda ◽

Katsuki Fujisawa ◽

...

Keyword(s):

Continuation Method ◽

Polynomial Systems ◽

Homotopy Continuation ◽

Polyhedral Homotopy ◽

Homotopy Continuation Method

Download Full-text

Computing all nonsingular solutions of cyclic-n polynomial using polyhedral homotopy continuation methods

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(02)00698-2 ◽

2003 ◽

Vol 152 (1-2) ◽

pp. 83-97 ◽

Cited By ~ 11

Author(s):

Yang Dai ◽

Sunyoung Kim ◽

Masakazu Kojima

Keyword(s):

Continuation Methods ◽

Homotopy Continuation ◽

Polyhedral Homotopy ◽

Homotopy Continuation Methods

Download Full-text

ENUMERATION OF ALL SOLUTIONS OF A COMBINATORIAL LINEAR INEQUALITY SYSTEM ARISING FROM THE POLYHEDRAL HOMOTOPY CONTINUATION METHOD

Journal of the Operations Research Society of Japan ◽

10.15807/jorsj.45.64 ◽

2002 ◽

Vol 45 (1) ◽

pp. 64-82 ◽

Cited By ~ 3

Author(s):

Akiko Takeda ◽

Masakazu Kojima ◽

Katsuki Fujisawa

Keyword(s):

Linear Inequality ◽

Continuation Method ◽

Homotopy Continuation ◽

Polyhedral Homotopy ◽

Inequality System ◽

Homotopy Continuation Method ◽

All Solutions ◽

Linear Inequality System

Download Full-text

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

Applied Mathematics and Computation ◽

10.1016/s0096-3003(99)00115-0 ◽

2000 ◽

Vol 114 (2-3) ◽

pp. 233-247 ◽

Cited By ~ 6

Author(s):

Tangan Gao ◽

T.Y. Li ◽

Jan Verschelde ◽

Mengnien Wu

Keyword(s):

Numerical Stability ◽

Continuation Methods ◽

Homotopy Continuation ◽

Polyhedral Homotopy ◽

Homotopy Continuation Methods

Download Full-text

Polyhedral homotopy-spheres

Bulletin of the American Mathematical Society ◽

10.1090/s0002-9904-1960-10511-3 ◽

1960 ◽

Vol 66 (6) ◽

pp. 485-489 ◽

Cited By ~ 25

Author(s):

John R. Stallings

Keyword(s):

Polyhedral Homotopy

Download Full-text

polyhedral homotopy
Recently Published Documents

TOTAL DOCUMENTS

H-INDEX

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

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

Parallel Implementation of the Polyhedral Homotopy Method

PHoMpara – Parallel Implementation of the Polyhedral Homotopy Continuation Method for Polynomial Systems

Numerical Stability of Path Tracing in Polyhedral Homotopy Continuation Methods

PHoM ? a Polyhedral Homotopy Continuation Method for Polynomial Systems

Computing all nonsingular solutions of cyclic-n polynomial using polyhedral homotopy continuation methods

ENUMERATION OF ALL SOLUTIONS OF A COMBINATORIAL LINEAR INEQUALITY SYSTEM ARISING FROM THE POLYHEDRAL HOMOTOPY CONTINUATION METHOD

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

Polyhedral homotopy-spheres

Export Citation Format

polyhedral homotopyRecently Published Documents

TOTAL DOCUMENTS

H-INDEX

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

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

Parallel Implementation of the Polyhedral Homotopy Method

PHoMpara – Parallel Implementation of the Polyhedral Homotopy Continuation Method for Polynomial Systems

Numerical Stability of Path Tracing in Polyhedral Homotopy Continuation Methods

PHoM ? a Polyhedral Homotopy Continuation Method for Polynomial Systems

Computing all nonsingular solutions of cyclic-n polynomial using polyhedral homotopy continuation methods

ENUMERATION OF ALL SOLUTIONS OF A COMBINATORIAL LINEAR INEQUALITY SYSTEM ARISING FROM THE POLYHEDRAL HOMOTOPY CONTINUATION METHOD

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

Polyhedral homotopy-spheres

polyhedral homotopy
Recently Published Documents