Chebyshev Polynomial Iterations and Approximate Solutions of Linear Operator Equations
Copyright policy )Chebyshev Polynomial Iterations and Approximate Solutions of Linear Operator Equations
An iteration scheme for the approximate solution of a linear operator equation in a Banach space is discussed from the viewpoint of Chebyshev polynomials. The optimal rate of convergence is described by numerical characteristics which are similar to (but different from) the classical Chebyshev constants. The abstract results are illustrated by some examples which frequently arise in applications.
- Peoples' Friendship University of Russia Russian Federation
polynomial iterations, Approximation by polynomials, Numerical solutions to equations with linear operators, Chebyshev polynomials, Equations and inequalities involving linear operators, with vector unknowns, 510, Chebyshev characteristics
polynomial iterations, Approximation by polynomials, Numerical solutions to equations with linear operators, Chebyshev polynomials, Equations and inequalities involving linear operators, with vector unknowns, 510, Chebyshev characteristics
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