<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We propose an adaptation of the partitioning method for determination of theMoore-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.</p></abstract>

We propose an adaptation of the partitioning method for determination of theMoore-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.

Application of the partitioning method to specific Toeplitz matrices

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

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

International Journal of Applied Mathematics and Computer Science

{"article-title":"Application of the partitioning method to specific Toeplitz matrices"}

We propose an adaptation of the partitioning method for determination of theMoore-Penrose inverse of a matrix augmented by a block-column matrix. A simplified...

Application of the partitioning method to specific Toeplitz matrices

Publié en ligne: 31 déc. 2013

Pages: 809 - 821

DOI: https://doi.org/10.2478/amcs-2013-0061

This content is open access.