Iterative Methods for Solving Non-Linear Equations

Aleksandr A. Samarskii and Evgenii S. Nikolaev
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Aleksandr A. Samarskii: Moscow University, Department of Computational, Mathematics and Cybernetics
Evgenii S. Nikolaev: Moscow University, Department of Computational, Mathematics and Cybernetics

Chapter Chapter 13 in Numerical Methods for Grid Equations, 1989, pp 351-387 from Springer

Abstract: Abstract In this chapter we study iterative methods for solving non-linear difference schemes. In Section 13.1 we outline the general theory of iterative methods for abstract non-linear operator equations in a Hilbert space; various assumptions concerning the operators are considered. In Section 13.2, we look at the application of the general theory to the solution of difference analogs of boundary-value problems for quasi-linear second-order elliptic equations.

Keywords: Iterative Method; Iterative Scheme; Iteration Count; Iterative Parameter; Gateau Derivative (search for similar items in EconPapers)
Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-9142-4_9

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DOI: 10.1007/978-3-0348-9142-4_9

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