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math.NA2026
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…
math.NA2024
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…
math.NA2024
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…