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Download Scientific Data Analysis: An Introduction to Overdetermined Systems fb2, epub

by Richard L. Jr. Branham

Download Scientific Data Analysis: An Introduction to Overdetermined Systems fb2, epub

ISBN: 0387972013
Author: Richard L. Jr. Branham
Language: English
Publisher: Springer; 1990 edition (March 13, 1990)
Pages: 237
Category: Programming
Subcategory: IT
Rating: 4.4
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Size Fb2: 1870 kb
Size ePub: 1892 kb
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This monograph is concerned with overdetermined systems, inconsistent systems with more equations than unknowns, in scientific . Introduction to Overdetermined Systems.

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. Branham, Richard . Jr.

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Richard L Jr Branham. Assembled Product Dimensions (L x W x H). 1 x . 4 x . 3 Inches.

Scientific Data Analysis: An Introduction to Overdetermined Systems. Branham, Richard Lacy was born on March 19, 1943 in Baltimore. Son of Richard Lacy and Mary Magdalene (Mrkonjich) Branham. This monograph is concerned with overdetermined systems,. This monograph is concerned with overdetermined systems, inconsistent systems with more equations than unknowns, in scientific data reduction. Master of Arts, Harvard University, 1968; Doctor of Philosophy, Case Western Reserve . 1977.

This monograph considers overdetermined systems, . inconsistent systems with more equations than unknowns, in scientific data reduction. Scientific Data Analysis : An Introduction to Overdetermined Systems.

This monograph is concerned with overdetermined systems, inconsistent systems with more equations than unknowns, in scientific data reduction.

Mathematical Theory of Overdetermined Systems - . Modeling Errors and Outliers - . Solution of Linear Systems - 5 Linear Least Squares - . The Normal Equations - . Solution of the Normal Equations - .

Scientific data analysis - an introduction to overdetermined systems. van Leeuwen’s new reduction of the Hipparcos catalog provides, afte. More).

The proponents of world-systems analysis, which this book is about, have been talking about globalization since long before the word was invented­ not, however, as something . This is an introduction to world-systems analysis. It has no pretension of being a summa.

The proponents of world-systems analysis, which this book is about, have been talking about globalization since long before the word was invented­ not, however, as something new but as something that has been basic to the modern world-system ever since it began in the sixteenth century. We have been arguing that the separate boxes ofanalysis-what in the universities are called the disciplines-are an obstacle, not an aid, to understanding the world.

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.

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