We propose a new deterministic Kaczmarz algorithm for solving consistent linear systems . Basically, the algorithm replaces orthogonal projections with reflections in the original scheme of Stefan…
The absolute value equations (AVE) problem is an algebraic problem of solving . So far, most of the research has focused on methods for solving AVE, but we address the problem itself by analyzing …
We consider the problem of computing the square root of a perturbation of the scaled identity matrix, , where and are matrices with . This problem arises in various applications, including compute…
We generalize an efficient hyper-regularity and unimodularity test from differential Ore polynomial matrices to arbitrary Ore polynomial matrices. The core of the contribution consists of algorithm…
We present in this paper a parallel algorithm that generates a low-rank approximation of a distributed tensor using QR decomposition with tournament pivoting (QRTP). The algorithm, which is a paral…
In this paper, we use analysis on graphs to study quantitative measures of segregation. We focus on a classical statistic from the geography and urban sociology literature known as Moran’s , whi…
Given a nonnegative matrix factorization, , and a factorization rank, , exact nonnegative matrix factorization (exact NMF) decomposes as the product of two nonnegative matrices, and with columns, …
In this paper we study and compare two multigrid relaxation schemes with coarsening by two, three, and four for solving elliptic sparse optimal control problems with control constraints and combine…