We present a collection of 52 nonlinear eigenvalue problems in the form of a MATLAB
toolbox. The collection contains problems from models of real-life applications as well as …

The quadratic matrix equation AX2+ BX+ C= 0in n× nmatrices arises in applications and is of
intrinsic interest as one of the simplest nonlinear matrix equations. We give a complete …

Quasi-stationary distributions have been used to model the long-term behaviour of
stochastic systems which in some sense terminate, but appear to be stationary over any …

Bibliography Page 1 Bibliography [1] Abadov, ZA (1984) Asymptotical Expansions with Explicit
Estimation of Constants for Exponential Moments of Sums of Random Variables Defined on a …

We investigate a stochastic model for the competition between two species. Based on
percentiles of the maximum number of individuals in the ecosystem, we present an …

We present a new method for deriving the stationary distribution of an ergodic Markov
process of G/M/1-type in continuous-time, by deriving and making use of a new …

We propose a unified framework to represent a wide range of continuous-time discrete-state
Markov processes on networks, and show how many network dynamics models in the …

This article explores the application of exact line search and successive over-relaxation
techniques to enhance the convergence of Newton method in solving the Yang-Baxter …

We consider a matrix polynomial equation which has the form of A n X n+ A n− 1 X n− 1+⋯+
A 0= 0 where A n, A n− 1,…, A 0 and X are square matrices assuming the positivity of …

In this paper we provide a complete quasistationary analysis for the class of level-
dependent, discrete-time quasi-birth-and-death processes (QBDs) for which level zero has …