分划方法在特定Toeplitz矩阵中的应用

P. Stanimirović, M. Miladinovic, I. Stojanovic, S. Miljkovic
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引用次数: 4

摘要

摘要提出了一种改进的分划法,用于确定由块列矩阵增广的矩阵的moore - penrose逆。给出了在特定Toeplitz矩阵上划分方法的简化实现。观察这种Toeplitz矩阵的想法在于,它们出现在线性运动模糊模型中,其中模糊矩阵(表示卷积核)是事先已知的。该方法的优点是大大减少了计算任意大小的特定Toeplitz矩阵的Moore-Penrose逆所需的计算时间。在MATLAB中实现了该方法,并给出了实例说明。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Application of the partitioning method to specific Toeplitz matrices
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.
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