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Analysis and Linear Algebra : The Singular Value Decomposition and Applicatio...

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Características del artículo

Estado
Como nuevo: Libro en perfecto estado y poco leído. La tapa no tiene desperfectos y si procede, con ...
Book Title
Analysis and Linear Algebra : The Singular Value Decomposition an
ISBN
9781470463328

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Product Information

This book provides an elementary analytically inclined journey to a fundamental result of linear algebra: the Singular Value Decomposition (SVD). SVD is a workhorse in many applications of linear algebra to data science. Four important applications relevant to data science are considered throughout the book: determining the subspace that best'' approximates a given set (dimension reduction of a data set); finding the best'' lower rank approximation of a given matrix (compression and general approximation problems); the Moore-Penrose pseudo-inverse (relevant to solving least squares problems); and the orthogonal Procrustes problem (finding the orthogonal transformation that most closely transforms a given collection to a given configuration), as well as its orientation-preserving version. The point of view throughout is analytic. Readers are assumed to have had a rigorous introduction to sequences and continuity. These are generalized and applied to linear algebraic ideas. Along the way to the SVD, several important results relevant to a wide variety of fields (including random matrices and spectral graph theory) are explored: the Spectral Theorem; minimax characterizations of eigenvalues; and eigenvalue inequalities. By combining analytic and linear algebraic ideas, readers see seemingly disparate areas interacting in beautiful and applicable ways.

Product Identifiers

Publisher
American Mathematical Society
ISBN-13
9781470463328
eBay Product ID (ePID)
25049044344

Product Key Features

Number of Pages
217 Pages
Publication Name
Analysis and Linear Algebra: the Singular Value Decomposition and Applications
Language
English
Subject
Mathematics
Publication Year
2021
Type
Textbook
Author
James Bisgard
Series
Student Mathematical Library
Format
Paperback

Dimensions

Item Height
216 mm
Item Weight
288 g
Item Width
140 mm

Additional Product Features

Country/Region of Manufacture
United States
Title_Author
James Bisgard

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CRN: 10691061
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