http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
Enlarging the ball of convergence of secant-like methods for non-differentiable operators
IOANNISK.ARGYROS,Hongmin Ren 대한수학회 2018 대한수학회지 Vol.55 No.1
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.
ENLARGING THE BALL OF CONVERGENCE OF SECANT-LIKE METHODS FOR NON-DIFFERENTIABLE OPERATORS
Argyros, Ioannis K.,Ren, Hongmin Korean Mathematical Society 2018 대한수학회지 Vol.55 No.1
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.
AN IMPROVED LOCAL CONVERGENCE ANALYSIS FOR SECANT-LIKE METHOD
Argyros, Ioannis K.,Hilout, Said The Youngnam Mathematical Society Korea 2007 East Asian mathematical journal Vol.23 No.2
We provide a local convergence analysis for Secant-like algorithm for solving nonsmooth variational inclusions in Banach spaces. An existence-convergence theorem and an improvement of the ratio of convergence of this algorithm are given under center-conditioned divided difference and Aubin's continuity concept. Our result compare favorably with related obtained in [16].