The nonlinear inexact Uzawa hybrid algorithms based on one-step Newton method for solving nonlinear saddle-point problems

Na Huang and Chang-Feng Ma

Applied Mathematics and Computation, 2015, vol. 270, issue C, 291-311

Abstract: This paper mainly consider the construction of efficient Uzawa-type algorithms for solving the nonlinear saddle-point problem (NSPP). Two nonlinear inexact Uzawa hybrid algorithms based on one-step Newton method are proposed for solving the NSPPs. By using the so-called energy-norm, the convergence of the proposed algorithms is verified under some practical conditions. In addition, some numerical results are reported to illustrate the behavior of the considered algorithm.

Keywords: Nonlinear saddle-point problem; Nonlinear inexact Uzawa algorithm; One-step Newton method; Preconditioning (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:270:y:2015:i:c:p:291-311

DOI: 10.1016/j.amc.2015.08.022

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