Point estimation of simultaneous methods for solving polynomial equations: a survey
Copyright policy )Point estimation of simultaneous methods for solving polynomial equations: a survey
The authors state new and refined initial conditions which ensure the guaranteed convergence of the most frequently used simultaneous methods for solving algebraic equations. Smale's point estimation theory is applied to iterative methods for the simultaneous approximation of simple zeros of polynomial equations.
- Institute of Mathematics Belarus
- Czech Academy of Sciences Czech Republic
- National Academy of Sciences of Belarus Belarus
- Institute of Mathematics Ukraine
- National Academy of Sciences of Ukraine Ukraine
convergence, Applied Mathematics, Point estimation, polynomial equations, Real polynomials: location of zeros, Approximate zeros, Computational Mathematics, initial conditions for convergence, Computational aspects of field theory and polynomials, iterative methods, Numerical computation of solutions to single equations, point estimation, polynomial zeros, Simultaneous methods, Polynomial zeros, Initial conditions for convergence, simple zeros
convergence, Applied Mathematics, Point estimation, polynomial equations, Real polynomials: location of zeros, Approximate zeros, Computational Mathematics, initial conditions for convergence, Computational aspects of field theory and polynomials, iterative methods, Numerical computation of solutions to single equations, point estimation, polynomial zeros, Simultaneous methods, Polynomial zeros, Initial conditions for convergence, simple zeros
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