Adaptive choice of the Tikhonov regularization parameter to solve ill-posed linear algebraic equations via Liapunov Optimizing Control

Author:

Pazos Fernando,Bhaya AmitORCID

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference25 articles.

1. Solutions of Ill-posed Problems;Tikhonov,1977

2. An iterative method using an optimal descent vector, for solving an ill-conditioned system Bx=b, better and faster than the conjugate gradient method;Liu;CMES Comput. Model. Eng. Sci.,2011

3. A dynamical Tikhonov regularization for solving ill-posed linear algebraic systems;Liu;Acta Appl. Math.,2013

4. Novel algorithms based on the conjugate gradient method for inverting ill-conditioned matrices, and a new regularization method to solve ill-posed linear systems;Liu;CMES Comput. Model. Eng. Sci.,2010

5. Optimally scaled vector regularization method to solve ill-posed linear problems;Liu;Appl. Math. Comput.,2012

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