Discrete cosine transform LSQR methods for multidimensional ill-posed problems

We propose new tensor Krylov subspace methods for ill-posed linear tensor problems such ascolor or video image restoration. Those methods are based on the tensor-tensor discrete cosine transformthat gives fast tensor-tensor product computations. In particular, we will focus on the tensor discretecos...

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Veröffentlicht in:Journal of mathematical modeling 2022-12, Vol.10 (1), p.21-37
Hauptverfasser: El Guide, Mohamed, El Ichi, Alaa, Jbilou, Khalide
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Sprache:eng
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Zusammenfassung:We propose new tensor Krylov subspace methods for ill-posed linear tensor problems such ascolor or video image restoration. Those methods are based on the tensor-tensor discrete cosine transformthat gives fast tensor-tensor product computations. In particular, we will focus on the tensor discretecosine 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 tensorill-posed problems.
ISSN:2345-394X
DOI:10.22124/jmm.2021.19303.1659