A globally convergent parallel algorithm for zeros of polynomial systems
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Publication:3484271
DOI10.1016/0362-546X(89)90017-5zbMath0704.65037MaRDI QIDQ3484271
Alexander P. Morgan, Layne T. Watson
Publication date: 1989
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Numerical computation of solutions to systems of equations (65H10) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Parallel numerical computation (65Y05)
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Cites Work
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- A parallel algorithm for simple roots of polynomials
- A transformation to avoid solutions at infinity for polynomial systems
- A homotopy for solving polynomial systems
- A globally convergent algorithm for computing fixed points of \(C^2\) maps
- Handbook series linear algebra. Linear least squares solutions by Householder transformations
- Algorithm 652
- Parallel Algorithms for Nonlinear Problems
- A Nonlinear Parallel Algorithm with Application to the Stefan Problem
- Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations
- Algorithm 555: Chow-Yorke Algorithm for Fixed Points or Zeros of C 2 Maps [C5]
- Algorithm 502: Dependence of Solution of Nonlinear Systems on a Parameter [C5]
- Finding Zeroes of Maps: Homotopy Methods That are Constructive With Probability One
- A Survey of Parallel Algorithms in Numerical Linear Algebra
