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Least Squares Data Fitting with Applications
Buch von Per Christian Hansen (u. a.)
Sprache: Englisch

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Beschreibung
A lucid explanation of the intricacies of both simple and complex least squares methods.
As one of the classical statistical regression techniques, and often the first to be taught to new students, least squares fitting can be a very effective tool in data analysis. Given measured data, we establish a relationship between independent and dependent variables so that we can use the data predictively. The main concern of Least Squares Data Fitting with Applications is how to do this on a computer with efficient and robust computational methods for linear and nonlinear relationships. The presentation also establishes a link between the statistical setting and the computational issues.
In a number of applications, the accuracy and efficiency of the least squares fit is central, and Per Christian Hansen, Víctor Pereyra, and Godela Scherer survey modern computational methods and illustrate them in fields ranging from engineering and environmental sciences to geophysics. Anyone working with problems of linear and nonlinear least squares fitting will find this book invaluable as a hands-on guide, with accessible text and carefully explained problems.
Included are
- an overview of computational methods together with their properties and advantages
- topics from statistical regression analysis that help readers to understand and evaluate the computed solutions
- many examples that illustrate the techniques and algorithms
Least Squares Data Fitting with Applications can be used as a textbook for advanced undergraduate or graduate courses and professionals in the sciences and in engineering.
A lucid explanation of the intricacies of both simple and complex least squares methods.
As one of the classical statistical regression techniques, and often the first to be taught to new students, least squares fitting can be a very effective tool in data analysis. Given measured data, we establish a relationship between independent and dependent variables so that we can use the data predictively. The main concern of Least Squares Data Fitting with Applications is how to do this on a computer with efficient and robust computational methods for linear and nonlinear relationships. The presentation also establishes a link between the statistical setting and the computational issues.
In a number of applications, the accuracy and efficiency of the least squares fit is central, and Per Christian Hansen, Víctor Pereyra, and Godela Scherer survey modern computational methods and illustrate them in fields ranging from engineering and environmental sciences to geophysics. Anyone working with problems of linear and nonlinear least squares fitting will find this book invaluable as a hands-on guide, with accessible text and carefully explained problems.
Included are
- an overview of computational methods together with their properties and advantages
- topics from statistical regression analysis that help readers to understand and evaluate the computed solutions
- many examples that illustrate the techniques and algorithms
Least Squares Data Fitting with Applications can be used as a textbook for advanced undergraduate or graduate courses and professionals in the sciences and in engineering.
Über den Autor

Per Christian Hansen is a professor of scientific computing at the Technical University of Denmark. Víctor Pereyra is a consulting professor of energy resources engineering at Stanford University and was a principal at Weidlinger Associates, Los Altos, California. Godela Scherer is a visiting research fellow in the Department of Mathematics at the University of Reading, United Kingdom, and a professor of scientific computing at the Universidad Simón Bolívar, Venezuela.

Details
Erscheinungsjahr: 2013
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 324
ISBN-13: 9781421407869
ISBN-10: 1421407868
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Hansen, Per Christian
Pereyra, Víctor
Scherer, Godela
Hersteller: Johns Hopkins University Press
Maße: 235 x 157 x 22 mm
Von/Mit: Per Christian Hansen (u. a.)
Erscheinungsdatum: 01.01.2013
Gewicht: 0,624 kg
preigu-id: 123778754
Über den Autor

Per Christian Hansen is a professor of scientific computing at the Technical University of Denmark. Víctor Pereyra is a consulting professor of energy resources engineering at Stanford University and was a principal at Weidlinger Associates, Los Altos, California. Godela Scherer is a visiting research fellow in the Department of Mathematics at the University of Reading, United Kingdom, and a professor of scientific computing at the Universidad Simón Bolívar, Venezuela.

Details
Erscheinungsjahr: 2013
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 324
ISBN-13: 9781421407869
ISBN-10: 1421407868
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Hansen, Per Christian
Pereyra, Víctor
Scherer, Godela
Hersteller: Johns Hopkins University Press
Maße: 235 x 157 x 22 mm
Von/Mit: Per Christian Hansen (u. a.)
Erscheinungsdatum: 01.01.2013
Gewicht: 0,624 kg
preigu-id: 123778754
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