When simulating a mechanism from science or engineering, or an industrial process, one is
frequently required to construct a mathematical model, and then resolve this model …

Sequences of matrices with increasing size naturally arise in several contexts and especially
in the discretization of continuous problems, such as integral and differential equations. The …

If the transmissivity of an optical fibre falls below a critical value, its use as a reliable
quantum channel is known to be drastically compromised. However, if the memoryless …

The capacities of noisy quantum channels capture the ultimate rates of information
transmission across quantum communication lines, and the quantum capacity plays a key …

We present an example-based exposition and review of recent advances in symbol-based
spectral analysis. We consider constant-and variable-coefficient, second-order eigenvalue …

In this work, we propose a novel preconditioned Krylov subspace method for solving an
optimal control problem of wave equations, after explicitly identifying the asymptotic spectral …

We propose two preconditioners based on the fast sine transformation for solving linear
systems with ill-conditioned multilevel Toeplitz structure. These matrices are generated by …

In computational mathematics, when dealing with a large linear discrete problem (eg, a
linear system) arising from the numerical discretization of a partial differential equation …

In computational mathematics, when dealing with a large linear discrete problem (eg, a
linear system) arising from the numerical discretization of a differential equation (DE) …

This article concerns the spectral analysis of matrix‐sequences which can be written as a
non‐Hermitian perturbation of a given Hermitian matrix‐sequence. The main result reads as …