Title of article :
Discrete cosine transform LSQR methods for multidimensional ill-posed problems
Author/Authors :
El Guide, Mohamed Centre for Behavioral Economics and Decision Making(CBED) - FGSES - Mohammed VI Polytechnic University, Green City , El Ichi, Alaa Laboratoire de Mathmatiques - Informatique et Applications, Securit ́ e de l’Information LABMIA-SI - University Mohamed V, Rabat Morocco; University Littoral Cote d’Oplae, France , Jbilou, Khalide Centre for Behavioral Economics and Decision Making(CBED) - FGSES - Mohammed VI Polytechnic University, Green City
Abstract :
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.
Keywords :
Discrete cosine product , Golub-Kahan bidiagonalisation , GMRES , LSQR , tensor Krylov subspaces
Journal title :
Journal of Mathematical Modeling(JMM)
