# Application of the partitioning method to specific Toeplitz matrices

Predrag Stanimirović; Marko Miladinović; Igor Stojanović; Sladjana Miljković

International Journal of Applied Mathematics and Computer Science (2013)

- Volume: 23, Issue: 4, page 809-821
- ISSN: 1641-876X

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topPredrag Stanimirović, et al. "Application of the partitioning method to specific Toeplitz matrices." International Journal of Applied Mathematics and Computer Science 23.4 (2013): 809-821. <http://eudml.org/doc/262291>.

@article{PredragStanimirović2013,

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.},

author = {Predrag Stanimirović, Marko Miladinović, Igor Stojanović, Sladjana Miljković},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {Moore-Penrose inverse; partitioning method; Toeplitz matrices; MATLAB; image restoration; MATLAB; numerical examples; convolution kernel},

language = {eng},

number = {4},

pages = {809-821},

title = {Application of the partitioning method to specific Toeplitz matrices},

url = {http://eudml.org/doc/262291},

volume = {23},

year = {2013},

}

TY - JOUR

AU - Predrag Stanimirović

AU - Marko Miladinović

AU - Igor Stojanović

AU - Sladjana Miljković

TI - Application of the partitioning method to specific Toeplitz matrices

JO - International Journal of Applied Mathematics and Computer Science

PY - 2013

VL - 23

IS - 4

SP - 809

EP - 821

AB - 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.

LA - eng

KW - Moore-Penrose inverse; partitioning method; Toeplitz matrices; MATLAB; image restoration; MATLAB; numerical examples; convolution kernel

UR - http://eudml.org/doc/262291

ER -

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