Weak Semilocal Convergence Conditions for a Two-Step Newton Method in Banach Space

İoannis K ARGYROS; Santhosh GEORGE

Makale detayları

Weak Semilocal Convergence Conditions for a Two-Step Newton Method in Banach Space

Yazarlar:

İoannis K ARGYROS | Santhosh GEORGE

Yayıncı:

Fuat USTA

Ana Başlıklar:

Matematik

Dergi:

Fundamental Journal of Mathematics and Applications 2018 Vol.1 Issue 2, pp.137-144

Belge Tipi:

Makale

Yayın Tarihi:

12/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000422196

pISSN:

2645-8845

Özet:

 

We present new sufficient convergence conditions for a two step Newton method (TSNM) to solve nonlinear equations in a Banach space setting. The new conditions depend on the center-Lipschitz constant instead of the Lipschitz constant. This way the applicability of (TSNM) is expanded in cases not covered before. Numerical examples are also provided in this study.

Makale detayları

Weak Semilocal Convergence Conditions for a Two-Step Newton Method in Banach Space

Yazarlar: İoannis K ARGYROS | Santhosh GEORGE

Yayıncı: Fuat USTA

Ana Başlıklar: Matematik

Dergi: Fundamental Journal of Mathematics and Applications 2018 Vol.1 Issue 2, pp.137-144

Belge Tipi: Makale

Yayın Tarihi: 12/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000422196

pISSN: 2645-8845

Sayı

Yazarlar:

İoannis K ARGYROS | Santhosh GEORGE

Yayıncı:

Fuat USTA

Ana Başlıklar:

Matematik

Dergi:

Fundamental Journal of Mathematics and Applications 2018 Vol.1 Issue 2, pp.137-144

Belge Tipi:

Makale

Yayın Tarihi:

12/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000422196

pISSN:

2645-8845