In this paper, we present the exact online updating formulae for the generalized inverse of centered matrices. The computational cost is O(mn) for matrices of size m × n. Experimental results validate the proposed method’s accuracy and efficiency.

In this paper, we introduce hybrid of block-pulse functions and Bernstein polynomials and derive operational matrices of integration, dual, differentiation, product and delay of these hybrid functions by a general procedure that can be used for other polynomials or orthogonal functions. Then, we utilize them to solve delay differential equations and time-delay system. The method is based upon e...

This work overviews the single-particle two-way communication protocol recently introduced by del Santo and Dakić (dSD), analyses it using process matrix formalism. We give a detailed account of importance operational meaning interaction an agent with vacuum – in particular its role description. Our analysis shows that should be treated as operation, on equal footing all other interactions. rai...

We determine the exact range of the smallest and largest eigenvalues of real symmetric matrices of a given order whose entries are in a given interval. The maximizing and minimizing matrices are specified. We also consider the maximal spread of such matrices.

Factor widths of nonnegative integral positive semidefinite square matrices are investigated. The nonnegative factor width, the exact factor width and the binary factor width of such matrices are introduced. Some lower and upper bounds for these widths are obtained. Nonnegative symmetric (completely positive) matrices with some given nonnegative (binary) factor widths

We consider the problem of approximate joint triangularization of a set of noisy jointly diagonalizable real matrices. Approximate joint triangularizers are commonly used in the estimation of the joint eigenstructure of a set of matrices, with applications in signal processing, linear algebra, and tensor decomposition. By assuming the input matrices to be perturbations of noise-free, simultaneo...