Advanced Studies on Rate of Convergence of Tikhonov Method of Regularization for Constrained Linear Equations with Operators Having Closed Ranges

Authors

  • Milojica Ja´cimovi´c Department of Mathematics, University of Montenegro, 81000 Podgorica, Montenegro.
  • Izedin Krni´c Department of Mathematics, University of Montenegro, 81000 Podgorica, Montenegro.
  • Oleg Obradovi´c Department of Mathematics, University of Montenegro, 81000 Podgorica, Montenegro.

DOI:

https://doi.org/10.9734/bpi/tpmcs/v11/8598D

Keywords:

Tikhonov method, constrained linear equations, closed ranges, real Hilbert spaces

Abstract

We derive the estimates of the rate of convergence of the Tikhonov method of regularization for the constrained operator linear equation. In the case that the range of the corresponding operator is closed, the estimate is of the same order as the estimates for a linear equation without constraints.

Published

2021-05-24

How to Cite

Milojica Ja´cimovi´c, Izedin Krni´c, & Oleg Obradovi´c. (2021). Advanced Studies on Rate of Convergence of Tikhonov Method of Regularization for Constrained Linear Equations with Operators Having Closed Ranges. Theory and Practice of Mathematics and Computer Science Vol. 11, 131–142. https://doi.org/10.9734/bpi/tpmcs/v11/8598D

Issue

Theory and Practice of Mathematics and Computer Science Vol. 11

Section

Chapters