On the semilocal convergence of a two-step Newton-like projection method for ill-posed equations

• Autorzy: Ioannis K. Argyros , Santhosh George
• Języki publikacji: EN

Abstrakty

EN

We present new semilocal convergence conditions for a two-step Newton-like projection method of Lavrentiev regularization for solving ill-posed equations in a Hilbert space setting. The new convergence conditions are weaker than in earlier studies. Examples are presented to show that older convergence conditions are not satisfied but the new conditions are satisfied.

Kategorie tematyczne

• 49M15: Newton-type methods
• 47J35: Nonlinear evolution equations
• 65G99: None of the above, but in this section
• 65J20: Improperly posed problems; regularization
• 47H99: None of the above, but in this section
• 65H10: Systems of equations
• 65J15: Equations with nonlinear operators (do not use )

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2013
• Tom: 40
• Numer: 3
• Strony: 367-382

Daty

wydano

2013

Twórcy

autor

Ioannis K. Argyros

• Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, U.S.A.

autor

Santhosh George

• Department of Mathematical, and Computational Sciences, National Institute of Technology, Karnataka, India 757 025

Identyfikatory

DOI

10.4064/am40-3-7