Geodesic
On the semilocal convergence of a two-step Newton-like projection method for ill-posed equations
Ioannis K. Argyros 1   ; Santhosh George 2
1 Department of Mathematical Sciences Cameron University Lawton, OK 73505, U.S.A.
2 Department of Mathematical and Computational Sciences National Institute of Technology Karnataka, India 757 025
Applicationes Mathematicae, Tome 40 (2013) no. 3, pp. 367-382 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am40-3-7
Keywords: present semilocal convergence conditions two step newton like projection method lavrentiev regularization solving ill posed equations hilbert space setting convergence conditions weaker earlier studies examples presented older convergence conditions satisfied conditions satisfied

Ioannis K. Argyros  1   ; Santhosh George  2

1 Department of Mathematical Sciences Cameron University Lawton, OK 73505, U.S.A.
2 Department of Mathematical and Computational Sciences National Institute of Technology Karnataka, India 757 025 
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     title = {On the semilocal convergence of a
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Ioannis K. Argyros; Santhosh George. On the semilocal convergence of a
 two-step Newton-like projection method
 for ill-posed equations. Applicationes Mathematicae, Tome 40 (2013) no. 3, pp. 367-382. doi: 10.4064/am40-3-7

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