2 papers
math.NA2025
Iterative inversion schemes for the Born series and the reduced inverse Born series
Akari Ishida, Manabu Machida
Nonlinear inverse problems have complicated landscapes. Hence the calculation with naive iterative schemes (e.g., Gauss-Newton or conjugate gradients) is trapped in local minima. T…
math.FA2025
Convergence Analysis of Levenberg-Marquardt Method for Inverse Problem with Hölder Stability Estimate
Akari Ishida, Sei Nagayasu, Gen Nakamura
We analyze convergence of the Levenberg-Marquardt method for solving nonlinear inverse problems in Hilbert spaces. Specifically, we establish local convergence and convergence rate…