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**publisher and metadata sources**).The existence of the Moore-Penrose inverse is discussed for elements of a *-regular ring R. A technique is developed for computing conditional and reflexive inverses for matrices in R2×2, which is… Continue Reading

Digital color cameras sample the continuous color spectrum using three or more filters; however, each pixel represents a sample of only one of the color bands. This arrangement is called a mosaic. To… Continue Reading

The hyperpower method is generalized by inseting an idempotent matrix P. It is shown that most of the iterations that can be used for computing generalized inverses can be recast in this form by… Continue Reading

Block conditions are given for the group inverse of a triangular matrix over a field to exist. These involve the zero-nonzero Schur complement. Applications are given to idempotent matrices.

In this part the use of an invertible matrix coefficient Γ is treated in some detail as applied to the V-key. (See Part III for a similar application to the W-key.) A relatively brief discussion of… Continue Reading

is a well-known process that is of crucial importance in such varied areas of mathe matics and engineering as linear algebra, numerical analysis, and digital signal pro cessing. The process consists… Continue Reading

The Souriau–Frame algorithm is used to derive some new representations for the Drazin inverse $A^d $ of a matrix A over a field $\mathcal{F}$. In addition, some further properties of matrices in this… Continue Reading

A new algorithm is developed to compute the Moore--Penrose inverse of the Lagrangian matrix which is used to compute the covariance matrix of parameter estimates in constrained nonlinear… Continue Reading

The standard faro shuffle, an idealized riffle shuffle, divides the deck into two equal portions, and perfectly interlaces them. The simple cut takes one card from the top to the bottom of the deck.… Continue Reading