With the rapid developments in very large-scale integration (VLSI) technology, design and
computer-aided design (CAD) techniques, at both the chip and package level, the operating …

In recent years, reduced-order modelling techniques based on Krylov-subspace iterations,
especially the Lanczos algorithm and the Arnoldi process, have become popular tools for …

We survey the quadratic eigenvalue problem, treating its many applications, its
mathematical properties, and a variety of numerical solution techniques. Emphasis is given …

In many large scale scientific or engineering computations, ranging from computing the
frequency response of a circuit to the earthquake response of a buildingto the energy levels …

This dissertation focuses on efficiently forming reduced-order models for large, linear
dynamic systems. Projections onto unions of Krylov subspaces lead to a class of reduced …

This paper describes PRIMA, an algorithm for generating provably passive reduced order N-
port models for RCL interconnect circuits. It is demonstrated that, in addition to requiring …

In this paper, we introduce PVL, an algorithm for computing the Pade approximation of
Laplace-domain transfer functions of large linear networks via a Lanczos process. The PVL …

In recent years, a great deal of attention has been devoted to Krylov subspace techniques
for reduced-order modeling of large-scale dynamical systems. The surge of interest was …

The simulation of electronic circuits involves the numerical solution of very large-scale,
sparse, in general nonlinear, systems of differential-algebraic equations. Often, the size of …

A method to smooth a signal while preserving discontinuities is presented. This is achieved
by repeatedly convolving the signal with a very small averaging mask weighted by a …