We quantify the value-at-risk of intervehicle collision and detachment for a class of platoons,
in presence of communication time-delay and stochastic noise. Closed-form expressions for …

This paper is concerned with computing approximations of matrix functionals of the form F
(A):= v T f (A) v, where A is a large symmetric positive definite matrix, v is a vector, and f is a …

We consider linear ill-conditioned operator equations in a Hilbert space setting. Motivated by
the aggregation method, we consider approximate solutions constructed from linear …

The existence of (standard) Gauss quadrature rules with respect to a nonnegative measure
dμ with support on the real axis easily can be shown with the aid of orthogonal polynomials …

The rational Arnoldi process is a popular method for the computation of a few eigenvalues of
a large non‐Hermitian matrix and for the approximation of matrix functions. The method is …

This paper considers the computation of approximations of matrix functionals of form F (A):=
v T f (A) v, where A is a large symmetric positive definite matrix, v is a vector, and f is a …

We analyze performance of a class of time-delay first-order consensus networks from a
graph topological perspective and present methods to improve it. Performance is measured …

Polynomials are a powerful tool to approximate functions. If the function of interest does not
resemble a polynomial, rational function based methods might be more appropriate. The …

In this thesis we develop efficient numerical methods for the approximation of matrix
functionals of the form F (A):= w^ Tf (A) v, where A is a large symmetric or nonsymmetric …

The Tikhonov regularization method is a popular method to solve linear discrete illposed
problems. The regularized problems can be solved with the aid of the generalized singular …