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Given a multigrid procedure for linear systems with coefficient matrices $$A_n,$$ we discuss the optimality of a related multigrid procedure with the same smoother and the same projector, when applied to properly related algebraic problems with coefficient matrices $$B_n$$ : we assume that both $$A_n$$ and $$B_n$$ are Hermitian positive definite with $$A_n\le \vartheta B_n,$$...
Anti-reflective (AR) boundary conditions (BC) have been introduced recently in connection with fast deblurring algorithms, both in the case of signals and images. Here we extend such BCs to d dimensions (d ≥ 1) and we study in detail the algebra induced by the AR-BCs, with strongly symmetric point spread functions (PSF), both from a structural and computational point of view. The use of the re-blurring...
In this paper we are concerned with deblurring problems in the case of multiple images coming from the Large Binocular Telescope (an important example of telescope of interferometric type). For this problem, we are interested in checking the role of the boundary conditions in the quality of the reconstructed image. In particular, we will consider reflective and anti-reflective boundary conditions...
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