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Averaged Nyström interpolants for the solution of Fredholm integral equations of the second kind
Luisa Fermo, Lothar Reichel, Giuseppe Rodriguez +1
Fredholm integral equations of the second kind that are defined on a finite or infinite interval arise in many applications. This paper discusses Nyström methods based on Gauss qua…
Spectral computation with third-order tensors using the t-product
Anas El Hachimi, Khalide Jbilou, Ahmed Ratnani +1
The tensor t-product, introduced by Kilmer and Martin [26], is a powerful tool for the analysis of and computation with third-order tensors. This paper introduces eigentubes and ei…
On the banded Toeplitz structured distance to symmetric positive semidefiniteness
Silvia Noschese, Lothar Reichel
This paper is concerned with the determination of a close real banded positive definite Toeplitz matrix in the Frobenius norm to a given square real banded matrix. While it is stra…
Adaptive cross approximation for Tikhonov regularization in general form
Thomas Mach, Lothar Reichel, Marc Van Barel
Many problems in Science and Engineering give rise to linear integral equations of the first kind with a smooth kernel. Discretization of the integral operator yields a matrix, who…
Tensor regularization by truncated iteration: a comparison of some solution methods for large-scale linear discrete ill-posed problem with a t-product
Ugochukwu O. Ugwu, Lothar Reichel
This paper describes and compares some structure preserving techniques for the solution of linear discrete ill-posed problems with the t-product. A new randomized tensor singular v…
Tensor Arnoldi-Tikhonov and GMRES-type methods for ill-posed problems with a t-product structure
Lothar Reichel, Ugochukwu O. Ugwu
This paper describes solution methods for linear discrete ill-posed problems defined by third order tensors and the t-product formalism introduced in [M. E. Kilmer and C. D. Martin…