Convergence and Applications of Newton-type Iterations

By Ioannis K. Argyros. 2008

441 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/df9f68ab90b4c2541a6abdf6ca0f377241cf359a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Dumitru Băleanu
2. Doddabhadrappla Gowda Prakasha
3. Pundikala Veeresha

In Numerical Analysis

1. Doddabhadrappla Gowda Prakasha
2. Pundikala Veeresha
3. Dumitru Băleanu
4. Ioannis K. Argyros
5. Arran Fernandez
6. Behzad Ghanbari
7. Thabet Abdeljawad
8. Sunil Kumar

Citations in the corpus

• Unified Convergence Criteria for Iterative Banach Space Valued Methods with Applications (2021, methodology): “(c) Let us see how parameters δ1, δ, λ and functions h, g look like in the case of Newton’s method.”
• An Efficient Numerical Technique for the Nonlinear Fractional Kolmogorov–Petrovskii–Piskunov Equation (2019, methodology): “With the aid of the integral mean value theorem [44,45], the above relation reduced to”