Exploring collision-free path planning by using homotopy continuation methods
From MaRDI portal
Publication:2451342
DOI10.1016/j.amc.2013.01.038zbMath1366.70011OpenAlexW2017085520MaRDI QIDQ2451342
Ahmet Yildirim, Yasir Khan, Hector Vazquez-Leal, Roberto Castañeda-Sheissa, Víctor-M. Jimenez-Fernández, A. Marin-Hernandez, U. A. Filobello-Nino
Publication date: 3 June 2014
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2013.01.038
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Cites Work
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- Homotopy curve tracking in approximate interior point optimization
- Globally convergent homotopy methods: A tutorial
- Efficient path tracking methods
- On the solution of the polynomial systems arising in the discretization of certain ODEs
- Modern homotopy methods in optimization
- HOM4PS-2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation method
- Probability-one homotopy maps for mixed complementarity problems
- k-th shortest collision-free path planning
- Computing all solutions to polynomial systems using homotopy continuation
- Collision-free path planning and modification based on task requirements.
- Computing equilibria in stochastic finance economies
- Probability-one homotopies in computational science
- 3D collision-free motion based on collision index
- PHoM -- a polyhedral homotopy continuation method for polynomial systems
- A modified formula of ancient Chinese algorithm by the homotopy continuation technique
- Newton-homotopy analysis method for nonlinear equations
- The secant-homotopy continuation method
- Solving the nonlinear equations by the Newton-homotopy continuation method with adjustable auxiliary homotopy function
- The inverse kinematics problem of spatial 4P3R robot manipulator by the homotopy continuation method with an adjustable auxiliary homotopy function
- Algorithm 652
- Tracking nonlinear equilibrium paths by a homotopy method
- Variable dimension algorithms for solving resistive circuits
- Adaptive Multiprecision Path Tracking
- Numerical Linear Algebra Aspects of Globally Convergent Homotopy Methods
- Threading Homotopies and DC Operating Points of Nonlinear Circuits
- Note on the end game in homotopy zero curve tracking
- A fixed-point homotopy method for solving modified nodal equations
- A homotopy approach for nonlinear control synthesis
- Convergent regions of the Newton homotopy method for nonlinear systems: theory and computational applications
- Polynomial homotopy continuation with PHCpack
- The Numerical Solution of Systems of Polynomials Arising in Engineering and Science