4 papers
On a posteriori stopping rules of adaptive stochastic heavy ball method for ill-posed problems
Ruixue Gu, Qinian Jin
In this paper we develop a stochastic heavy ball method for solving ill-posed inverse problems. The method updates the iterate using only a randomly selected equation at each itera…
Convergence rates of Landweber-type methods for inverse problems in Banach spaces
Qinian Jin
Landweber-type methods are prominent for solving ill-posed inverse problems in Banach spaces and their convergence has been well-understood. However, how to derive their convergenc…
Convergence analysis of a stochastic heavy-ball method for linear ill-posed problems
Qinian Jin, Yanjun Liu
In this paper we consider a stochastic heavy-ball method for solving linear ill-posed inverse problems. With suitable choices of the step-sizes and the momentum coefficients, we es…
On growth error bound conditions with an application to heavy ball method
Qinian Jin
In this paper, we investigate the growth error bound condition. By using the proximal point algorithm, we first provide a more accessible and elementary proof of the fact that Kurd…