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math.NA2026
Computing adjoint mismatch of linear maps
Jonas Bresch, Dirk A. Lorenz, Felix Schneppe +1
This paper considers the problem of detecting adjoint mismatch for two linear maps. To clarify, this means that we aim to calculate the operator norm for the difference of two line…
math.NA2025
Matrix-free stochastic calculation of operator norms without using adjoints
Jonas Bresch, Dirk A. Lorenz, Felix Schneppe +1
This paper considers the problem of computing the operator norm of a linear map between finite dimensional Hilbert spaces when only evaluations of the linear map are available and…
math.NA2024
On inertial Levenberg-Marquardt type methods for solving nonlinear ill-posed operator equations
Antonio Leitão, Joel C. Rabelo, Dirk A. Lorenz +1
In these notes we propose and analyze an inertial type method for obtaining stable approximate solutions to nonlinear ill-posed operator equations. The method is based on the Leven…