Finite dimensional realization of a parameter choice strategy for fractional Tikhonov regularization method  in Hilbert scales

Chitra Mekoth; Santhosh George; Jidesh P

Article Details

Finite dimensional realization of a parameter choice strategy for fractional Tikhonov regularization method in Hilbert scales

Authors:

Chitra Mekoth | Santhosh George | Jidesh P

Publisher:

Hacettepe University

Main Topics:

Mathematical Sciences

Journal:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 3, pp.729-752

Document Type:

Article

Publication Date:

5/2023

Document Language:

English

Document ID (Org No.):

2001290013

pISSN:

2651-477X

Keywords:

Abstract:

 One of the most crucial parts of applying a regularization method to solve an ill-posed problem is choosing a regularization parameter to obtain an optimal order error estimate. In this paper, we consider the finite dimensional realization of the parameter choice strategy proposed in C. Mekoth, S. George and P. Jidesh, Appl. Math. Comput. 392, 125701, 2021 for Fractional Tikhonov regularization method for linear ill-posed operator equations in the setting of Hilbert scales.

 One of the most crucial parts of applying a regularization method to solve an ill-posed problem is choosing a regularization parameter to obtain an optimal order error estimate. In this paper, we consider the finite dimensional realization of the parameter choice strategy proposed in C. Mekoth, S. George and P. Jidesh, Appl. Math. Comput. 392, 125701, 2021 for Fractional Tikhonov regularization method for linear ill-posed operator equations in the setting of Hilbert scales.

 One of the most crucial parts of applying a regularization method to solve an ill-posed problem is choosing a regularization parameter to obtain an optimal order error estimate. In this paper, we consider the finite dimensional realization of the parameter choice strategy proposed in C. Mekoth, S. George and P. Jidesh, Appl. Math. Comput. 392, 125701, 2021 for Fractional Tikhonov regularization method for linear ill-posed operator equations in the setting of Hilbert scales.

 One of the most crucial parts of applying a regularization method to solve an ill-posed problem is choosing a regularization parameter to obtain an optimal order error estimate. In this paper, we consider the finite dimensional realization of the parameter choice strategy proposed in C. Mekoth, S. George and P. Jidesh, Appl. Math. Comput. 392, 125701, 2021 for Fractional Tikhonov regularization method for linear ill-posed operator equations in the setting of Hilbert scales.

Article Details

Finite dimensional realization of a parameter choice strategy for fractional Tikhonov regularization method in Hilbert scales

Authors: Chitra Mekoth | Santhosh George | Jidesh P

Publisher: Hacettepe University

Main Topics: Mathematical Sciences

Journal: Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 3, pp.729-752

Document Type: Article

Publication Date: 5/2023

Document Language: English

Document ID (Org No.): 2001290013

pISSN: 2651-477X

ill-posed problem

fractional Tikhonov regularization

Hilbert scales

parameter choice strategy

finite dimensional realization

Issues

Authors:

Chitra Mekoth | Santhosh George | Jidesh P

Publisher:

Hacettepe University

Main Topics:

Mathematical Sciences

Journal:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 3, pp.729-752

Document Type:

Article

Publication Date:

5/2023

Document Language:

English

Document ID (Org No.):

2001290013

pISSN:

2651-477X