Finite dimensional realization of a quadratic convergence yielding iterative regularization method for ill-posed equations with monotone operators

Vorkady S. Shubha; Santhosh George; P. Jidesh; M. E. Shobha

doi:10.1016/j.amc.2015.10.051

Finite dimensional realization of a quadratic convergence yielding iterative regularization method for ill-posed equations with monotone operators

Vorkady S. Shubha
, Santhosh George
, P. Jidesh^*
, M. E. Shobha

^*Corresponding author for this work

Manipal Institute of Technology, Manipal

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Recently Jidesh et al. (2015), considered a quadratic convergence yielding iterative method for obtaining approximate solution to nonlinear ill-posed operator equation F(x)=y, where F: D(F) ⊆ X → X is a monotone operator and X is a real Hilbert space. In this paper we consider the finite dimensional realization of the method considered in Jidesh et al. (2015). Numerical example justifies our theoretical results.

Original language	English
Pages (from-to)	1041-1050
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	273
DOIs	https://doi.org/10.1016/j.amc.2015.10.051
Publication status	Published - 15-01-2016

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2015.10.051

Cite this

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abstract = "Recently Jidesh et al. (2015), considered a quadratic convergence yielding iterative method for obtaining approximate solution to nonlinear ill-posed operator equation F(x)=y, where F: D(F) ⊆ X → X is a monotone operator and X is a real Hilbert space. In this paper we consider the finite dimensional realization of the method considered in Jidesh et al. (2015). Numerical example justifies our theoretical results.",

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AU - Shubha, Vorkady S.

AU - George, Santhosh

AU - Jidesh, P.

AU - Shobha, M. E.

PY - 2016/1/15

Y1 - 2016/1/15

N2 - Recently Jidesh et al. (2015), considered a quadratic convergence yielding iterative method for obtaining approximate solution to nonlinear ill-posed operator equation F(x)=y, where F: D(F) ⊆ X → X is a monotone operator and X is a real Hilbert space. In this paper we consider the finite dimensional realization of the method considered in Jidesh et al. (2015). Numerical example justifies our theoretical results.

AB - Recently Jidesh et al. (2015), considered a quadratic convergence yielding iterative method for obtaining approximate solution to nonlinear ill-posed operator equation F(x)=y, where F: D(F) ⊆ X → X is a monotone operator and X is a real Hilbert space. In this paper we consider the finite dimensional realization of the method considered in Jidesh et al. (2015). Numerical example justifies our theoretical results.

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DO - 10.1016/j.amc.2015.10.051

M3 - Article

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Finite dimensional realization of a quadratic convergence yielding iterative regularization method for ill-posed equations with monotone operators

Abstract

All Science Journal Classification (ASJC) codes

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