Results 11 to 20 of about 180,343 (197)
The Eigenspace Spectral Regularization Method for Solving Discrete Ill-Posed Systems
Journal of Applied Mathematics, 2021 This paper shows that discrete linear equations with Hilbert matrix operator, circulant matrix operator, conference matrix operator, banded matrix operator, TST matrix operator, and sparse matrix operator are ill-posed in the sense of Hadamard.
Fredrick Asenso Wireko +3 more
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Tensor Conjugate-Gradient methods for tensor linear discrete ill-posed problems
AIMS Mathematics, 2023 This paper presents three types of tensor Conjugate-Gradient (tCG) methods for solving large-scale linear discrete ill-posed problems based on the t-product between third-order tensors.
Hong-Mei Song +2 more
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Atmospheric inverse modeling via sparse reconstruction [PDF]
Geoscientific Model Development, 2017 Many applications in atmospheric science involve ill-posed inverse problems. A crucial component of many inverse problems is the proper formulation of a priori knowledge about the unknown parameters.
N. Hase +5 more
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Hybrid enriched bidiagonalization for discrete ill‐posed problems [PDF]
Numerical Linear Algebra with Applications, 2019 SummaryThe regularizing properties of the Golub–Kahan bidiagonalization algorithm are powerful when the associated Krylov subspace captures the dominating components of the solution. In some applications the regularized solution can be further improved by enrichment, that is, by augmenting the Krylov subspace with a low‐dimensional subspace that ...
Per Christian Hansen +2 more
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Preimage Problem Inspired by the F-Transform
Mathematics, 2022 In this article, we focus on discrete data processing. We propose to use the concept of closeness, which is less restrictive than a metric, to describe a certain relationship between objects.
Jiří Janeček, Irina Perfilieva
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On the block Lanczos and block Golub–Kahan reduction methods applied to discrete ill‐posed problems
Numerical Linear Algebra with Applications, 2021 The reduction of a large‐scale symmetric linear discrete ill‐posed problem with multiple right‐hand sides to a smaller problem with a symmetric block tridiagonal matrix can easily be carried out by the application of a small number of steps of the ...
Abdulaziz Alqahtani +3 more
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Restoration of a blurred photographic image of a moving object obtained at the resolution limit
Российский технологический журнал, 2023 Objectives. When processing images of the Earth’s surface obtained from satellites, the problem of restoring a blurry image of a moving object is of great practical importance.
V. B. Fedorov +2 more
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Updating the Landweber Iteration Method for Solving Inverse Problems
Mathematics, 2022 The Landweber iteration method is one of the most popular methods for the solution of linear discrete ill-posed problems. The diversity of physical problems and the diversity of operators that result from them leads us to think about updating the main ...
Hassan K. Ibrahim Al-Mahdawi +4 more
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BIT Numerical Mathematics, 2021 Randomized methods can be competitive for the solution of problems with a large matrix of low rank. They also have been applied successfully to the solution of large-scale linear discrete ill-posed problems by Tikhonov regularization (Xiang and Zou in ...
Xianglan Bai, A. Buccini, L. Reichel
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Gaussian processes non‐linear inverse reinforcement learning
IET Cyber-systems and Robotics, 2021 The authors analyse a Bayesian framework for posing and solving inverse reinforcement learning (IRL) problems that arise in decision‐making and optimisation settings.
Qifeng Qiao, Xiaomin Lin
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