GPU-based parallel solver via the Kantorovich theorem for the nonlinear Bernstein polynomial systems

DOI10.1016/j.camwa.2011.05.058zbMath1231.65094OpenAlexW2076942007MaRDI QIDQ660912

Jieqing Feng, Feifei Wei, Hong-Wei Lin

Publication date: 5 February 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.05.058

zbMATH Keywords

tensornonlinear systemnormal coneparallel computingKantorovich theoremtangent root

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Numerical algorithms for specific classes of architectures (65Y10)

Related Items (2)

Tracking control based on adaptive Bernstein polynomial approximation for a class of unknown nonlinear dynamic systems ⋮ Using low-rank approximation of the Jacobian matrix in the Newton-Raphson method to solve certain singular equations

Uses Software

• CUDA
• CUDPP

Cites Work

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• Optimal bounding cones of vectors in three dimensions
• Eigenvalues and invariants of tensors
• Blossoms are polar forms
• Subdivision methods for solving polynomial equations
• Loop detection in surface patch intersections
• Bounds on a polynomial
• Computation of the solutions of nonlinear polynomial systems
• Isolating real roots of real polynomials
• Algorithms for intersecting parametric and algebraic curves I

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