Autor:

Stanimirović, Predrag ; Miladinović, Marko ; Stojanović, Igor ; Miljković, Sladjana

Współtwórca:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Tytuł:

Application of the partitioning method to specific Toeplitz matrices

Tytuł publikacji grupowej:

AMCS, Volume 23 (2013)

Temat i słowa kluczowe:

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

Abstract:

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.

Wydawca:

Zielona Góra: Uniwersytet Zielonogórski

Data wydania:

2013

Typ zasobu:

artykuł

DOI:

10.2478/amcs-2013-0061

Strony:

809-821

Źródło:

AMCS, volume 23, number 4 (2013) ; kliknij tutaj, żeby przejść

Jezyk:

eng

Licencja CC BY 4.0:

kliknij tutaj, żeby przejść

Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego