In this entry-level book on algorithmic (also known as automatic) differentiation (AD) the author covers the mathematical underpinnings as well as applications to real-world numerical simulation progr
Implicit filtering is a way to solve bound-constrained optimization problems for which derivative information is not available. This book describes the algorithm, its convergence theory and a new MATL
Scientific computing has often been called the third approach to scientific discovery, emerging as a peer to experimentation and theory. Historically, the synergy between experimentation and theory ha
The Lanczos and conjugate gradient (CG) algorithms are fascinating numerical algorithms. This book presents the most comprehensive discussion to date of the use of these methods for computing eigenval
Organizes the many available methods for the numerical solution of eigenvalue problems. The first of the eleven chapters provide the top level of a decision tree for classifying eigenvalue problems,
List of Contributors; List of Figures; List of Tables; Preface; Part I: PITFALLS IN NUMERICAL COMPUTATION. Chapter 1: What Can Go Wrong in Scientific Computing? Bo Einarsson; Chapter 2: Assessment of
“There is no other information retrieval/search book where the heart is the mathematical foundations. This book is greatly needed to further establish information retrieval as a serious academic, as w
This graduate level text is divided into two distinct parts. The first part reviews the evolution of one of the most widely used numerical techniques in the industry. The second part contains industri
Researchers mostly from Denmark, Britain, and the US describe the latest version of the Fortran 95 interface to the Fortran 77 LAPACK library. They provide a quick reference for those who write in the
This tutorial-style, introductory and intermediate-level treatment of essentials for achieving high performance in numerical computations on modern computers explains computer architectures, data traf
Coinciding with the release of version 3.0 of the LAPACK software, this guide includes updated information on accessing LAPACK and related projects via the Web; coverage of the new routines; updated p
Supersedes the Society's 1990 Solving Linear Systems on Vector and Shared Memory Computers, by including considerable new material and substantially revising the existing text. Presents a unified trea
A reference manual to the PLTMG software package, which was developed as a program for testing and verifying the properties of various multigrid and adaptive local mesh refinement algorithms. Includin
Scalable Linear Algebra Package (ScaLAPACK) or Scalable LAPACK is a library of linear algebra routines for distributed memory message-passing MIMD computers and networks of workstations supporting par
