We give a survey of the results in connection with the minimal state-space realization
problem for linear time-invariant systems. We start with a brief historical overview and a short …

This is the first book on constructive methods for, and applications of orthogonal
polynomials, and the first available collection of relevant Matlab codes. The book begins …

We propose a way to efficiently treat the well-known transparent boundary conditions for the
Schrödinger equation. Our approach is based on two ideas: to write out a discrete …

A Journey through the History of Numerical Linear Algebra: Back Matter Page 1 Bibliography
[1] A. Abdelfattah, H. Anzt, A. Bouteiller, A. Danalis, JJ Dongarra, M. Gates, A. Haidar, J. Kurzak …

Given an analytic function f and a Jordan curve γ that does not pass through any zero of f,
we consider the problem of computing all the zeros of f that lie inside γ, together with their …

We present a multimode laser-linewidth theory for arbitrary cavity structures and geometries
that contains nearly all previously known effects and also finds new nonlinear and …

The aim of the paper is to compile and compare basic theoretical facts on Krylov subspaces
and block Krylov subspaces. Many Krylov (sub) space methods for solving a linear system …

In the present paper, we present the block Lanczos method for solving linear systems with
multiple right-hand sides. We define the method by using matrix-valued orthogonal …

We propose transparent boundary conditions (TBCs) for the time–dependent Schrödinger
equation on a circular computational domain. First we derive the two–dimensional discrete …

Large-scale optimal design problems involving nonlinear differential equations are widely
applied in modeling such as craft manufacturing, chemical engineering and energy …