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- research-articleJanuary 2022
Tensor Arnoldi–Tikhonov and GMRES-Type Methods for Ill-Posed Problems with a t-Product Structure
Journal of Scientific Computing (JSCI), Volume 90, Issue 1https://doi.org/10.1007/s10915-021-01719-1AbstractThis paper describes solution methods for linear discrete ill-posed problems defined by third order tensors and the t-product formalism introduced in (Linear Algebra Appl 435:641–658, 2011). A t-product Arnoldi (t-Arnoldi) process is defined and ...
- research-articleAugust 2021
Tensor Krylov subspace methods with an invertible linear transform product applied to image processing
Applied Numerical Mathematics (APNM), Volume 166, Issue CPages 186–207https://doi.org/10.1016/j.apnum.2021.04.007AbstractThis paper discusses several transform-based methods for solving linear discrete ill-posed problems for third order tensor equations based on a tensor-tensor product defined by an invertible linear transform. Linear transform-based ...