Articles with "discrete ill" as a keyword



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Solution methods for linear discrete ill-posed problems for color image restoration

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Published in 2018 at "BIT Numerical Mathematics"

DOI: 10.1007/s10543-018-0706-0

Abstract: This work discusses four algorithms for the solution of linear discrete ill-posed problems with several right-hand side vectors. These algorithms can be applied, for instance, to multi-channel image restoration when the image degradation model is… read more here.

Keywords: image; linear discrete; ill posed; posed problems ... See more keywords
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Regularization properties of LSQR for linear discrete ill-posed problems in the multiple singular value case and best, near best and general low rank approximations

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Published in 2020 at "Inverse Problems"

DOI: 10.1088/1361-6420/ab9c45

Abstract: For the large-scale linear discrete ill-posed problem $\min\|Ax-b\|$ or $Ax=b$ with $b$ contaminated by white noise, the Golub-Kahan bidiagonalization based LSQR method and its mathematically equivalent CGLS, the Conjugate Gradient (CG) method applied to $A^TAx=A^Tb$,… read more here.

Keywords: linear discrete; rank approximations; ill posed; discrete ill ... See more keywords