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## Gradient descent and fast artificial time integration

ESAIM: M2AN, 43 4 (2009) 689-708
Published online: 2009-07-08

## The Chaotic Nature of Faster Gradient Descent Methods

Kees van den Doel and Uri Ascher
Journal of Scientific Computing 51 (3) 560 (2012)
DOI: 10.1007/s10915-011-9521-3

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

Fernando Pazos and Amit Bhaya
Journal of Computational and Applied Mathematics 279 123 (2015)
DOI: 10.1016/j.cam.2014.10.022

## Runge–Kutta-like scaling techniques for first-order methods in convex optimization

Federica Porta, Anastasia Cornelio and Valeria Ruggiero
Applied Numerical Mathematics 116 256 (2017)
DOI: 10.1016/j.apnum.2016.08.011

## An optimal tri-vector iterative algorithm for solving ill-posed linear inverse problems

Chein-Shan Liu
Inverse Problems in Science and Engineering 21 (4) 650 (2013)
DOI: 10.1080/17415977.2012.717077

## An Optimally Generalized Steepest-Descent Algorithm for Solving Ill-Posed Linear Systems

Chein-Shan Liu
Journal of Applied Mathematics 2013 1 (2013)
DOI: 10.1155/2013/154358

## On the regularizing behavior of the SDA and SDC gradient methods in the solution of linear ill-posed problems

Roberta De Asmundis, Daniela di Serafino and Germana Landi
Journal of Computational and Applied Mathematics 302 81 (2016)
DOI: 10.1016/j.cam.2016.01.007

## Cooperative concurrent asynchronous computation of the solution of symmetric linear systems

Amit Bhaya, Pierre-Alexandre Bliman and Fernando Pazos
Numerical Algorithms 75 (3) 587 (2017)
DOI: 10.1007/s11075-016-0213-9

## A dynamical systems framework for intermittent data assimilation

Sebastian Reich
BIT Numerical Mathematics 51 (1) 235 (2011)
DOI: 10.1007/s10543-010-0302-4

## Faster Gradient Descent and the Efficient Recovery of Images

Hui Huang and Uri Ascher
Vietnam Journal of Mathematics 42 (1) 115 (2014)
DOI: 10.1007/s10013-013-0055-x

## Optimal estimation of $\ell_1$-regularization prior from a regularized empirical Bayesian risk standpoint

Hui Huang, Eldad Haber and Lior Horesh
Inverse Problems and Imaging 6 (3) 447 (2012)
DOI: 10.3934/ipi.2012.6.447

## A vector regularization method to solve linear inverse problems

Chein-Shan Liu
Inverse Problems in Science and Engineering 22 (5) 765 (2014)
DOI: 10.1080/17415977.2013.823415
Uri Ascher and Kees van den Doel
147 (2013)
DOI: 10.1007/978-0-8176-8394-8_10
Amit Bhaya, Pierre-Alexandre Bliman and Fernando Pazos
774 (2010)
DOI: 10.1109/CDC.2010.5717471
Amit Bhaya and Fernando A. Pazos
881 (2013)
DOI: 10.1109/CoDIT.2013.6689659

## Matrix forms of iterative algorithms to solve large-scale discrete ill-posed problems with an application to image restoration

Fernando Pazos and Amit Bhaya
Journal of Applied Mathematics and Computing 60 (1-2) 113 (2019)
DOI: 10.1007/s12190-018-1205-9