LAPACK Users' Guide, 3rd Edition

Numerical Computation UniOviedo

This PDF covers the following topics related to Numerical Computation : Finite arithmetic and error analysis, Nonlinear equations, Interpolation and approximation, Numerical differentiation and integration, Systems of linear equations, Optimization.

Author(s): Gonzalo Galiano Casas, Esperanza Garcia Gonzalo, Dept. of Mathematics, Oviedo University

114 Pages

Applied Numerical Computing

This note explains the following topics: Numerical linear algebra, nonlinear optimization, nonlinear least squares, introduction to floating point numbers and rounding error, examples from signal and image processing, control, machine learning.

Author(s): Prof. L. Vandenberghe

NA Pages

Numerical Computation for Mechanical Engineers

This note introduces elementary programming concepts including variable types, data structures, and flow control. After an introduction to linear algebra and probability, it covers numerical methods relevant to mechanical engineering, including approximation, integration, solution of linear and nonlinear equations, ordinary differential equations, and deterministic and probabilistic approaches.

Author(s): Prof. Anthony T. Patera, Prof. Daniel Frey and Prof. Nicholas Hadjiconstantinou

NA Pages

Numerical Methods for Computational Science and Engineering

This note explains the following topics: computing with Matrices and Vectors, Direct Methods for Linear Systems of Equations, DIrect Methods for Linear Least Squares Problems, Filtering Algorithms, Data Interpolation and Data Fitting in 1D, Approximation of Functions in 1D , Numerical Quadrature, Iterative Methods for Non-Linear Systems of Equations, Eigenvalues, Numerical Integration, Structure Preserving Integration.

Author(s): Prof. R. Hiptmair

839 Pages

Numerical Methods for Scientific Computing

These are the sample pages from the textbook. This book covers the following topics: root finding, orthogonal functions, finite differences, divided differences, interpolation, curve fitting, ztransforms, summation formula, quadrature formula, ordinary differential equations, partial differential equations, integral equations, stability and error analysis, monte carlo techniques, message passing interface, simulation modeling.

Author(s): John Henry Heinbockel

NA Pages

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