Interfacing with the Numerical Homotopy Algorithms in PHCpack

Lecture Notes in Computer Science - Mathematical Software - ICMS 2006 ◽

10.1007/11832225_35 ◽

2006 ◽

pp. 354-360 ◽

Cited By ~ 5

Author(s):

Anton Leykin ◽

Jan Verschelde

Keyword(s):

Homotopy Algorithms

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Piecewise-Linear Homotopy Algorithms for Sparse Systems of Nonlinear Equations

SIAM Journal on Control and Optimization ◽

10.1137/0321011 ◽

1983 ◽

Vol 21 (2) ◽

pp. 204-214 ◽

Cited By ~ 5

Author(s):

Michael J. Todd

Keyword(s):

Nonlinear Equations ◽

Piecewise Linear ◽

Systems Of Nonlinear Equations ◽

Piecewise Linear Homotopy ◽

Sparse Systems ◽

Homotopy Algorithms

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The D2-Triangulation for Simplicial Homotopy Algorithms

Lecture Notes in Economics and Mathematical Systems - Triangulations and Simplicial Methods ◽

10.1007/978-3-642-48775-0_9 ◽

1995 ◽

pp. 145-172

Author(s):

Chuangyin Dang

Keyword(s):

Homotopy Algorithms ◽

Simplicial Homotopy

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Homotopy Algorithms

Lecture Notes in Economics and Mathematical Systems - The Computation of Fixed Points and Applications ◽

10.1007/978-3-642-50327-6_9 ◽

1976 ◽

pp. 94-100

Author(s):

Michael J. Todd

Keyword(s):

Homotopy Algorithms

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Homotopy Algorithms

Algebraic Systems of Equations and Computational Complexity Theory ◽

10.1007/978-94-011-0796-9_6 ◽

1994 ◽

pp. 147-174

Author(s):

Wang Zeke ◽

Xu Senlin ◽

Gao Tangan

Keyword(s):

Homotopy Algorithms

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PL Homotopy Algorithms

Numerical Continuation Methods - Springer Series in Computational Mathematics ◽

10.1007/978-3-642-61257-2_13 ◽

1990 ◽

pp. 173-202

Author(s):

Eugene L. Allgower ◽

Kurt Georg

Keyword(s):

Homotopy Algorithms

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Probability-one homotopy algorithms for full and reduced order H/sup 2//H/sup ∞/ controller synthesis

Proceedings of 1994 33rd IEEE Conference on Decision and Control ◽

10.1109/cdc.1994.411301 ◽

2002 ◽

Author(s):

Yuzhen Ge ◽

L.T. Watson ◽

E.G. Collins ◽

D.S. Bernstein

Keyword(s):

Controller Synthesis ◽

Reduced Order ◽

Homotopy Algorithms

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Probability-one homotopy algorithms for solving the coupled Lyapunov equations arising in reduced-order H2/H∞ modeling, estimation, and control

Applied Mathematics and Computation ◽

10.1016/s0096-3003(00)00059-x ◽

2001 ◽

Vol 123 (2) ◽

pp. 155-185 ◽

Cited By ~ 11

Author(s):

Y. Wang ◽

D.S. Bernstein ◽

L.T. Watson

Keyword(s):

Lyapunov Equations ◽

Reduced Order ◽

Homotopy Algorithms ◽

Estimation And Control ◽

And Control

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Homotopy Algorithms for Engineering Analysis

Supercomputing in Engineering Analysis ◽

10.1201/9781003066767-7 ◽

2020 ◽

pp. 199-260

Author(s):

Layne T. Watson ◽

Manohar P. Kamat

Keyword(s):

Engineering Analysis ◽

Homotopy Algorithms

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On the computational complexity of piecewise-linear homotopy algorithms

Mathematical Programming ◽

10.1007/bf01585104 ◽

1982 ◽

Vol 24 (1) ◽

pp. 216-224 ◽

Cited By ~ 11

Author(s):

Michael J. Todd

Keyword(s):

Computational Complexity ◽

Piecewise Linear ◽

Piecewise Linear Homotopy ◽

Homotopy Algorithms

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Stability verification for monotone systems using homotopy algorithms

Numerical Algorithms ◽

10.1007/s11075-011-9468-3 ◽

2011 ◽

Vol 58 (4) ◽

pp. 529-543 ◽

Cited By ~ 7

Author(s):

Björn S. Rüffer ◽

Fabian R. Wirth

Keyword(s):

Monotone Systems ◽

Homotopy Algorithms

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