3 papers
math.NA2025
Randomized and Inner-product Free Krylov Methods for Large-scale Inverse Problems
Malena Sabaté Landman, Ariana N. Brown, Julianne Chung +1
Iterative Krylov projection methods have become widely used for solving large-scale linear inverse problems. However, methods based on orthogonality include the computation of inne…
math.NA2024
H-CMRH: a novel inner product free hybrid Krylov method for large-scale inverse problems
Ariana N. Brown, Malena Sabaté Landman, James G. Nagy
This study investigates the iterative regularization properties of two Krylov methods for solving large-scale ill-posed problems: the changing minimal residual Hessenberg method (C…
math.NA2024
Inner Product Free Krylov Methods for Large-Scale Inverse Problems
Ariana N. Brown, Julianne Chung, James G. Nagy +1
In this study, we introduce two new Krylov subspace methods for solving rectangular large-scale linear inverse problems. The first approach is a modification of the Hessenberg iter…