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2013 | 23 | 4 | 809-821
Tytuł artykułu

Application of the partitioning method to specific Toeplitz matrices

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We propose an adaptation of the partitioning method for determination of the Moore-Penrose inverse of a matrix augmented by a block-column matrix. A simplified implementation of the partitioning method on specific Toeplitz matrices is obtained. The idea for observing this type of Toeplitz matrices lies in the fact that they appear in the linear motion blur models in which blurring matrices (representing the convolution kernels) are known in advance. The advantage of the introduced method is a significant reduction in the computational time required to calculate the Moore-Penrose inverse of specific Toeplitz matrices of an arbitrary size. The method is implemented in MATLAB, and illustrative examples are presented.
Rocznik
Tom
23
Numer
4
Strony
809-821
Opis fizyczny
Daty
wydano
2013
otrzymano
2012-09-02
poprawiono
2013-03-09
poprawiono
2013-07-10
Twórcy
  • Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia
  • Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia
  • Faculty of Computer Science, Goce Delčev University, 2000 Štip, Macedonia
  • Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia
Bibliografia
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  • Chountasis, S., Katsikis, V.N. and Pappas, D. (2009b). Image restoration via fast computing of the Moore-Penrose inverse matrix, 16th International Conference on Systems, Signals and Image Processing, IWSSIP 2009,Chalkida, Greece, Article number: 5367731.
  • Chountasis, S., Katsikis, V.N. and Pappas, D. (2010). Digital image reconstruction in the spectral domain utilizing the Moore-Penrose inverse, Mathematical Problems in Engineering 2010, Article ID: 750352, DOI: 10.1155/2010/750352.
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  • Katsikis, V.N., Pappas, D. and Petralias, A. (2011). An improved method for the computation of the Moore-Penrose inverse matrix, Applied Mathematics and Computation 217(23): 9828-9834.
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Typ dokumentu
Bibliografia
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Identyfikator YADDA
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