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Diagonalization of ...
Abstract
Ämnesord
Stäng
- The concepts of tensors with diagonal and circulant structure are defined and aframework is developed for the analysis of such tensors. It is shown a tensor of arbitraryorder, which is circulant with respect to two particular modes, can be diagonalized inthose modes by discrete Fourier transforms. This property can be used in the efficientsolution of linear systems involving contractive products of tensors with circulantstructure. Tensors with circulant structure occur in models for image blurring withperiodic boundary conditions. It is shown that the new framework can be applied tosuch problems.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Tensor
- Diagonal tensor
- Circulant structure
- Discrete Fourier transform
- Image blurring model
- Periodic boundary conditions
- Preconditioner
- Numerical analysis
- Numerisk analys
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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