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Technische Universität München
Lehrstuhl für Effiziente Algorithmen
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Triangular decomposition of semi-algebraic systems
Changbo Chen
,
James H. Davenport
,
John P. May
,
Marc Moreno Maza
,
Bican Xia
,
Rong Xiao
Journal Symbolic Computation
49
, 2013, pp. 3-26
Computing with semi-algebraic sets: Relaxation techniques and effective boundaries
Changbo Chen
,
James H. Davenport
,
Marc Moreno Maza
,
Bican Xia
,
Rong Xiao
Journal Symbolic Computation
52
, 2013, pp. 72-96
Discovering polynomial Lyapunov functions for continuous dynamical systems
Zhikun She
,
Haoyang Li
,
Bai Xue
,
Zhiming Zheng
,
Bican Xia
Journal Symbolic Computation
58
, 2013, pp. 41-63
Computing with semi-algebraic sets represented by triangular decomposition
Changbo Chen
,
James H. Davenport
,
Marc Moreno Maza
,
Bican Xia
,
Rong Xiao
Proceedings of the 36th International Symposium on Symbolic and Algebraic Computation, ISSAC'2011 (San Jose, CA, USA, June 8-11, 2011)
, 2011, pp. 75-82
Triangular decomposition of semi-algebraic systems
Changbo Chen
,
James H. Davenport
,
John P. May
,
Marc Moreno Maza
,
Bican Xia
,
Rong Xiao
Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation, ISSAC'2010 (Technische Universität München, Munich, Germany, July 25-28, 2010)
, 2010, pp. 187-194
Termination of linear programs with nonlinear constraints
Bican Xia
,
Zhihai Zhang
Journal Symbolic Computation
45
(11), 2010, pp. 1234-1249
Computing cylindrical algebraic decomposition via triangular decomposition
Changbo Chen
,
Marc Moreno Maza
,
Bican Xia
,
Lu Yang
Proceedings of the 2009 International Symposium on Symbolic and Algebraic Computation, ISSAC'2009 (Seoul, Korea, July 28-31, 2009)
, 2009, pp. 95-102
Real solution classification for parametric semi-algebraic systems
Lu Yang
,
Bican Xia
Proceedings of the Algorithmic Algebra and Logic Conference in Honor of the 60th Birthday of Volker Weispfenning, A3L'2005 (Passau, Germany, April 3-6, 2005)
, 2005, pp. 281-289
Stability analysis of biological systems with real solution classification
Dongming Wang
,
Bican Xia
Proceedings of the 2005 International Symposium on Symbolic and Algebraic Computation, ISSAC'2005 (Beijing, China, July 24-27, 2005)
, 2004, pp. 354-361
An algorithmic for isolating the real solutions of semi-algebraic systems
Bican Xia
,
Lu Yang
Journal Symbolic Computation
34
(5), 2002, pp. 461-477