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Mansoor Rezghi 《Linear algebra and its applications》2011,435(3):422-658
The concepts of tensors with diagonal and circulant structure are defined and a framework is developed for the analysis of such tensors. It is shown a tensor of arbitrary order, which is circulant with respect to two particular modes, can be diagonalized in those modes by discrete Fourier transforms. This property can be used in the efficient solution of linear systems involving contractive products of tensors with circulant structure. Tensors with circulant structure occur in models for image blurring with periodic boundary conditions. It is shown that the new framework can be applied to such problems. 相似文献
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Mansoor Rezghi 《Journal of Computational and Applied Mathematics》2009,231(2):914-924
In this paper we introduce a new variant of L-curve to estimate the Tikhonov regularization parameter for the regularization of discrete ill-posed problems. This method uses the solution norm versus the regularization parameter. The numerical efficiency of this new method is also discussed by considering some test problems. 相似文献
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Advances in Data Analysis and Classification - In recent years dictionary learning has become a favorite sparse feature extraction technique. Dictionary learning represents each data as a sparse... 相似文献
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