Cover Image

Lippmann-Schwinger-Lanczos algorithm for inverse scattering problems with unknown reflectivity and loss distributions: One-dimensional Case

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Zimmerling, Jorn, Zaslavsky, Mikhail, Mamonov, Alexander V., Druskin, Vladimir, Abilgazy, Anarzhan
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Lippmann-Schwinger-Lanczos approach for inverse scattering problem of Schrodinger equation in the resonance frequency domain
by: Abilgazy, Anarzhan, et al.
Published: (2025)

Adapting the Lanczos algorithm to matrices with almost continuous spectra
by: Zimmerling, Jörn, et al.
Published: (2026)

A Krylov projection algorithm for large symmetric matrices with dense spectra
by: Druskin, Vladimir, et al.
Published: (2025)

A variational Lippmann-Schwinger-type approach for the Helmholtz impedance problem on bounded domains
by: Tataris, Andreas, et al.
Published: (2025)

Waveform inversion with a data driven estimate of the internal wave
by: Borcea, Liliana, et al.
Published: (2022)

Monotonicity, bounds and extrapolation of Block-Gauss and Gauss-Radau quadrature for computing $B^T ϕ(A) B$
by: Zimmerling, Jörn, et al.
Published: (2024)

ROM inversion of monostatic data lifted to full MIMO
by: Druskin, V., et al.
Published: (2024)

When data driven reduced order modeling meets full waveform inversion
by: Borcea, Liliana, et al.
Published: (2023)

Quantitative synthetic aperture radar inversion
by: Borcea, Liliana, et al.
Published: (2026)

On optimality and bounds for internal solutions generated from boundary data-driven Gramians
by: Druskin, V., et al.
Published: (2025)

Reduced Order Modeling for First Order Hyperbolic Systems with Application to Multiparameter Acoustic Waveform Inversion
by: Borcea, Liliana, et al.
Published: (2025)

Electromagnetic inverse wave scattering in anisotropic media via reduced order modeling
by: Borcea, Liliana, et al.
Published: (2024)

Domain Uncertainty Quantification for the Lippmann-Schwinger Volume Integral Equation
by: Henríquez, Fernando, et al.
Published: (2024)

Lippmann–Schwinger Spectrum, Composite Materials Eigenstates and Their Role in Computational Homogenization
by: C. Bellis, et al.
Published: (2025)

Acoustic scattering by fractal inhomogeneities via geometry-conforming Galerkin methods for the Lippmann-Schwinger equation
by: Bannister, Joshua, et al.
Published: (2026)

A priori analysis of a tensor ROM for parameter dependent parabolic problems
by: Mamonov, Alexander V., et al.
Published: (2023)

Stability of the Lanczos algorithm on matrices with regular spectral distributions
by: Chen, Tyler, et al.
Published: (2023)

Lanczos with compression for symmetric eigenvalue problems
by: Casulli, Angelo A., et al.
Published: (2026)

Inverse scattering for Schrödinger equation in the frequency domain via data-driven reduced order modeling
by: Tataris, Andreas, et al.
Published: (2025)

The Lanczos algorithm for matrix functions: a handbook for scientists
by: Chen, Tyler
Published: (2024)

Solving forward and inverse PDE problems on unknown manifolds via physics-informed neural operators
by: Jiao, Anran, et al.
Published: (2024)

Application of MUSIC algorithm in real-world microwave imaging of unknown anomalies from scattering matrix
by: Park, Won-Kwang
Published: (2024)

A neural operator framework for solving inverse scattering problems
by: Chenu, Victor, et al.
Published: (2026)

Convergence analysis of contrast source inversion type methods for acoustic inverse medium scattering problems
by: Hu, Qiao, et al.
Published: (2025)

A frequency-domain method to inverse moving source problem with unknown radiating moment
by: Ma, Guanqiu, et al.
Published: (2026)

New flexible and inexact Golub-Kahan algorithms for inverse problems
by: Landman, Malena Sabaté, et al.
Published: (2025)

Exploring low-rank structure for an inverse scattering problem with far-field data
by: Zhou, Yuyuan, et al.
Published: (2024)

A novel direct imaging method for passive inverse obstacle scattering problem
by: Yin, Yunwen, et al.
Published: (2024)

An inverse obstacle scattering problem with passive data in the time domain
by: Liu, Xiaoli, et al.
Published: (2024)

Discretization-free Bayesian inverse problems in distribution spaces
by: Calvetti, Daniela, et al.
Published: (2026)

A global approach for the inverse scattering problem using a Carleman contraction map
by: Nguyen, Phuong M., et al.
Published: (2024)

Regularization for time-dependent inverse problems: Geometry of Lebesgue-Bochner spaces and algorithms
by: Sarnighausen, Gesa, et al.
Published: (2025)

Two-dimensional moment problem and Schur algorithm
by: Kovalyov, Ivan, et al.
Published: (2024)

Solving Bayesian inverse problems via Fisher adaptive Metropolis adjusted Langevin algorithm
by: Wang, Li-Li, et al.
Published: (2025)

Model order reduction of parametric dynamical systems by slice sampling tensor completion
by: Mamonov, Alexander V., et al.
Published: (2024)

An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
by: Daubechies, Ingrid, et al.
Published: (2003)

A novel integral equation for scattering by locally rough surfaces and application to the inverse problem: the Neumann case
by: Qu, Fenglong, et al.
Published: (2019)

On the recovery of two function-valued coefficients in the Helmholtz equation for inverse scattering problems via neural networks
by: Zhou, Zehui
Published: (2024)

Block Lanczos algorithm for lattice QCD spectroscopy and matrix elements
by: Hackett, Daniel C., et al.
Published: (2024)

On the inverse elastic problem for isotropic media using Eshelby and Lippmann-Schwinger integral formulations
by: Gintides, Drossos, et al.
Published: (2025)