Application of the partitioning method to specific Toeplitz matrices

• Autorzy: Predrag Stanimirović , Marko Miladinović , Igor Stojanović , Sladjana Miljković
• 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.

Słowa kluczowe

EN

Moore-Penrose inverse; partitioning method; Toeplitz matrices; MATLAB; image restoration

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2013
• Tom: 23
• Numer: 4
• Strony: 809-821

Daty

wydano

2013

otrzymano

2012-09-02

poprawiono

2013-03-09

poprawiono

2013-07-10

Twórcy

autor

Predrag Stanimirović

• Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia

autor

Marko Miladinović

• Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia

autor

Igor Stojanović

• Faculty of Computer Science, Goce Delčev University, 2000 Štip, Macedonia

autor

Sladjana Miljković

• Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia

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Identyfikatory

DOI

10.2478/amcs-2013-0061