For an -tuple of nonnegative matrices , primitivity/Hurwitz primitivity means the existence of a positive product/Hurwitz product, respectively (all products are with repetitions permitted). The H…
Error contaminated linear approximation problems appear in a large variety of applications. The presence of redundant or irrelevant data complicates their solution. It was shown that such data can …
We introduce an iterative method named Gpmr (general partitioned minimum residual) for solving 2x2 block unsymmetric linear systems. Gpmr is based on a new process that simultaneously reduces two r…
The goal of Jacobi preconditioning of a symmetric positive definite matrix by a diagonal matrix is to choose to minimize the condition number . In 1969, van der Sluis proved that choosing so that t…
The joint bidiagonalization (JBD) method has been used to compute some extreme generalized singular values and vectors of a large regular matrix pair . We make a numerical analysis of the underlyi…
The matrix-oriented version of the conjugate gradient (CG) method can be used to approximate the solution to certain linear matrix equations. To limit memory consumption, low-rank reduction of the …
This work considers a class of delay eigenvalue problems that admit a spectrum similar to that of a Hamiltonian matrix, in the sense that the spectrum is symmetric with respect to both the real and…
We study how the learning rate affects the performance of a relaxed randomized Kaczmarz algorithm for solving , where is a consistent linear system and has independent mean zero random entries. We…
In network theory, the concept of effective resistance is a distance measure on a graph that relates the global network properties to individual connections between nodes. In addition, the Kron red…
For real symmetric matrices that are accessible only through matrix vector products, we present Monte Carlo estimators for computing the diagonal elements. Our probabilistic bounds for normwise abs…