Discrete cosine transform LSQR methods for multidimensional ill-posed problems
Résumé
We propose new tensor Krylov subspace methods for ill-posed linear tensor problems such as
color or video image restoration. Those methods are based on the tensor-tensor discrete cosine transform
that gives fast tensor-tensor product computations. In particular, we will focus on the tensor discrete
cosine versions of GMRES, Golub-Kahan bidiagonalisation and LSQR methods. The presented numer-
ical tests show that the methods are very fast and give good accuracies when solving some linear tensor
ill-posed problems.