Convergence Properties of an Iterative Method for Solving Symmetric Non-linear Equations

Weijun Zhou () and Dongmei Shen ()
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Weijun Zhou: Changsha University of Science and Technology
Dongmei Shen: Changsha University of Science and Technology

Journal of Optimization Theory and Applications, 2015, vol. 164, issue 1, No 15, 277-289

Abstract: Abstract We introduce an iterative method for solving symmetric systems of non-linear equations without computing Jacobian and gradient using the special structure of the underlying function. This derivative-free feature makes it solve relatively large-scale problems. We show that the proposed method has global and linear convergence properties under appropriate conditions. We also report some numerical results to show its efficiency.

Keywords: Non-linear equations; Symmetry; Convergence; 90C30; 65K05 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-014-0547-1

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