49 citations · 246 across the 22 of their papers we have counts for
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math.NA2010
A general convergence analysis on inexact Newton method for nonlinear inverse problems
Qinian Jin
We consider the inexact Newton methods $$ x_{n+1}^\d=x_n^\d-g_{\a_n}(F'(x_n^\d)^* F'(x_n^\d)) F'(x_n^\d)^* (F(x_n^\d)-y^\d) $$ for solving nonlinear ill-posed inverse problems $F(x…
math.NA2010★ 8 cited
Implicit iteration methods in Hilbert scales under general smoothness conditions
Qinian Jin, Ulrich Tautenhahn
For solving linear ill-posed problems regularization methods are required when the right hand side is with some noise. In the present paper regularized solutions are obtained by im…
math.NA2010
Inexact Newton regularization methods in Hilbert scales
Qinian Jin, Ulrich Tautenhahn
We consider a class of inexact Newton regularization methods for solving nonlinear inverse problems in Hilbert scales. Under certain conditions we obtain the order optimal converge…