Scientific Data Analysis: An Introduction to Overdetermined Systems - Couverture souple

Branham, Richard L. Jr. L. Jr.

Couverture souple

ISBN 10 : 146127981X ISBN 13 : 9781461279815

Editeur : Springer, 2011

Synopsis

This monograph is concerned with overdetermined systems, inconsistent systems with more equations than unknowns, in scientific data reduction. It is not a text on statistics, numerical methods, or matrix cOmputations, although elements of all three, especially the latter, enter into the discussion. The reader I have in mind is a scientist or engineer who has gathered data that he or she wants to model by a mathematical system, perhaps linear, perhaps nonlinear, and solve to obtain the best estimates, in some sense of the term "best," of various parameters. Because the calculations will be performed on a digital computer, the first chapter discusses floating-point numbers and their effect on mathematical operations. The chapter ends with some methods for accurately summing floating-point numbers, an operation frequently required in numerical work and one often done by the worst possible method, recursive summation. Chapter 2 gives a brief review of linear algebra and includes vector and matrix norms and condition numbers of matrices and linear systems. ' Chapter 3 presents some ideas for manipulating sparse matrices. Frequently, time or memory can be saved by use of sparse matrix techniques. The subject is extensive and the chapter is only indicative of the many techniques available. Although Chapter 3 is somewhat extraneous to the rest of the book, Chapter 5, on linear least squares, makes use of the compressed storage mode for the symmetric matrices discussed in Chapter 3.

A propos du livre

Présentation de l'éditeur

This monograph considers overdetermined systems, i.e., inconsistent systems with more equations than unknowns, in scientific data reduction. Although not a text on statistics, numerical methods, or matrix computations, all three enter into the discussion. The book is intended for the scientist or engineer who has gathered data that needs to be modelled by a mathematical system, perhaps linear or non-linear, and to be solved to obtain best estimates of various parameters. Programs and subroutines, mostly in FORTRAN, a few in BASIC, and one in C, illustrate many of the techniques presented.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2011
• Langue: anglais
• ISBN 10: 146127981X
• ISBN 13: 9781461279815
• Reliure: Broché
• Nombre de pages: 252
• Coordonnées du fabricant: non disponible
• Personne responsable: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Allemagne