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Enlarging the ball of convergence of secant-like methods for non-differentiable operators

IOANNISK.ARGYROS|Hongmin Ren
대한수학회 (The Korean Mathematical Society)|2018.01|대한수학회지 (Journal of the KMS)|제55권 제1호|pp. 17-28

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참고문헌

키워드

non-differentiable operator equationthe secant-like methodthe ball of convergenceaffine invariant form
주제분류수학

초록

In this paper, we enlarge the ball of convergence of a uniparametric family of secant-like methods for solving non-differentiable operators equations in Banach spaces via using $\omega$-condition and centered-like $\omega$-condition meantime as well as some fine techniques such as the affine invariant form. Numerical examples are also provided.

Abstract

In this paper, we enlarge the ball of convergence of a uniparametric family of secant-like methods for solving non-differentiable operators equations in Banach spaces via using $\omega$-condition and centered-like $\omega$-condition meantime as well as some fine techniques such as the affine invariant form. Numerical examples are also provided.

참고문헌 (16)

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