LAPACK Users' Guide, 3rd Edition
This book covers the following topics: Computers for which LAPACK is Suitable, LAPACK Compared with LINPACK and EISPACK, LAPACK and the BLAS, Availability of LAPACK, Commercial Use of LAPACK, Installation of LAPACK, Documentation for LAPACK, Support for LAPACK and Errata in LAPACK.
Author(s): E. Anderson , Z. Bai , C. Bischof , L. S. Blackford , J. Demmel , J. Dongarra , J. Du Croz , A. Greenbaum , S. Hammarling , A. McKenney and D. Sorensen
NA Pages 
Introduction to Numerical Computation
This PDF covers the following topics related to Numerical Computation, Introduction, Error Analysis and Computer Arithmetic, Function Evaluation, Nonlinear Equations, Interpolation, Differentiation and Richardson Extrapolation, Integration, Linear Systems of Equations, Approximation, Ordinary Differential Equations.
Author(s): Lars Elden, Linde Wittmeyer-Koch, Hans Bruun Nielsen
383 Pages
Numerical Methods for Computational Science and Engineering
The resource described here is an overview of numerical methods important in the study of computational science and engineering. The text starts off with Computing with Matrices and Vectors, foundational elements in many algorithms. The note moves forward and explains Direct Methods for Linear Systems of Equations and Direct Methods for Linear Least Squares Problems, important problemsolving aspects in linear algebra. The Filtering Algorithms for data processing are reviewed, while Data Interpolation and Data Fitting in 1D discuss ways of approximating onedimensional data. Approximation of Functions in 1D and Numerical Quadrature introduce the techniques on function approximation and integration. It also discusses Iterative Methods for NonLinear Systems of Equations and Eigenvaluesa critical topic needed for solving complex systems. It finally includes Numerical Integration and Structure Preserving Integration, fundamental to perform numerical calculations with appropriate accuracy in scientific computing.
Author(s): Prof. R. Hiptmair
839 Pages
