An inverse matrix formula in the right-quantum algebra.
An inverse matrix of an upper triangular matrix can be lower triangular
In this note we explain why the group of n×n upper triangular matrices is defined usually over commutative ring while the full general linear group is defined over any associative ring.
An inversion formula, matrix functions, combinatorial identities and graphs
Application of the partitioning method to specific Toeplitz matrices
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...
Applications of the Moore-Penrose inverse in digital image restoration.
Asymptotic variance of functionals of discrete-time Markov chains via the Drazin inverse.