Author: Society for Industrial and Applied MathematicsPublisher:
ISBN:
Category : Numerical analysis
Languages : en
Pages : 944
Book Description
Journal of the Society for Industrial and Applied Mathematics. Series B: Numerical Analysis
Author: Society for Industrial and Applied MathematicsPublisher:
ISBN:
Category : Numerical analysis
Languages : en
Pages : 944
Book Description
SIAM Journal on Numerical Analysis
Author: Siam Journal on Numerical Analysis
Author: Journal of the Society for Industrial and Applied Mathematics. Series B: Numerical Analysis
Author: Society for Industrial and Applied MathematicsPublisher:
ISBN:
Category : Numerical analysis
Languages : en
Pages : 924
Book Description
Applied Numerical Linear Algebra
Author: James W. DemmelPublisher: SIAM
ISBN: 0898713897
Category : Mathematics
Languages : en
Pages : 426
Book Description
This comprehensive textbook is designed for first-year graduate students from a variety of engineering and scientific disciplines.
Journal of the Society for Industrial and Applied Mathematics
Author: Society for Industrial and Applied MathematicsPublisher:
ISBN:
Category : Control theory
Languages : en
Pages :
Book Description
Numerical Methods for Least Squares Problems
Author: Ake BjorckPublisher: SIAM
ISBN: 9781611971484
Category : Mathematics
Languages : en
Pages : 425
Book Description
The method of least squares was discovered by Gauss in 1795. It has since become the principal tool to reduce the influence of errors when fitting models to given observations. Today, applications of least squares arise in a great number of scientific areas, such as statistics, geodetics, signal processing, and control. In the last 20 years there has been a great increase in the capacity for automatic data capturing and computing. Least squares problems of large size are now routinely solved. Tremendous progress has been made in numerical methods for least squares problems, in particular for generalized and modified least squares problems and direct and iterative methods for sparse problems. Until now there has not been a monograph that covers the full spectrum of relevant problems and methods in least squares. This volume gives an in-depth treatment of topics such as methods for sparse least squares problems, iterative methods, modified least squares, weighted problems, and constrained and regularized problems. The more than 800 references provide a comprehensive survey of the available literature on the subject.
Numerical Analysis
Author: Brian SuttonPublisher: SIAM
ISBN: 1611975700
Category : Mathematics
Languages : en
Pages : 431
Book Description
This textbook develops the fundamental skills of numerical analysis: designing numerical methods, implementing them in computer code, and analyzing their accuracy and efficiency. A number of mathematical problems?interpolation, integration, linear systems, zero finding, and differential equations?are considered, and some of the most important methods for their solution are demonstrated and analyzed. Notable features of this book include the development of Chebyshev methods alongside more classical ones; a dual emphasis on theory and experimentation; the use of linear algebra to solve problems from analysis, which enables students to gain a greater appreciation for both subjects; and many examples and exercises. Numerical Analysis: Theory and Experiments is designed to be the primary text for a junior- or senior-level undergraduate course in numerical analysis for mathematics majors. Scientists and engineers interested in numerical methods, particularly those seeking an accessible introduction to Chebyshev methods, will also be interested in this book.
Accuracy and Stability of Numerical Algorithms
Author: Nicholas J. HighamPublisher: SIAM
ISBN: 9780898718027
Category : Mathematics
Languages : en
Pages : 710
Book Description
Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures.
Numerical Analysis of Spectral Methods
Author: David GottliebPublisher: SIAM
ISBN: 0898710235
Category : Technology & Engineering
Languages : en
Pages : 167
Book Description
A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis.