This paper reviews numerical methods and analysis procedures used in the study of
automotive disc brake squeal. It covers two major approaches used in the automotive …

This textbook covers both direct and iterative methods for the solution of linear systems, least
squares problems, eigenproblems, and the singular value decomposition. Earlier versions …

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 paper sketches the main research developments in the area of computational methods
for eigenvalue problems during the 20th century. The earliest of such methods dates back to …

38 Davidson's method 115 39 Numerical example 116 40 Davidson's method and
preconditioning 119 41 The methods of Jacobi 120 42 The Jacobi-Davidson iteration …

Eigenvalues and eigenfunctions of linear operators are important to many areas of applied
mathematics. The ability to approximate these quantities numerically is becoming …

In this paper, we propose a model reduction algorithm for approximation of large-scale
linear time-invariant dynamical systems. The method is a two-sided projection combining …

In the present paper, we propose block Krylov subspace methods for solving the Sylvester
matrix equation AX− XB= C. We first consider the case when A is large and B is of small size …

Solving systems of algebraic linear equations is among the most frequent problems in
scientific computing. It appears in many areas like physics, engineering, chemistry, biology …