Linear algebra. From basics to applications
type: Item
instance of: scholarly article
zbMATH Open document ID: 1255.15001
author: Jacques Cellier
publication date: 2012-07-19T00:00:00Z
Mathematics Subject Classification ID: 15-01
Mathematics Subject Classification ID: 15Axx
Mathematics Subject Classification ID: 00A69
Mathematics Subject Classification ID: 97H60
zbMATH DE Number: 6058305
zbMATH Keywords: textbook
zbMATH Keywords: Schur decomposition
zbMATH Keywords: Dunford decomposition
zbMATH Keywords: Cholesky decomposition
zbMATH Keywords: SVD decomposition
zbMATH Keywords: QR decomposition
zbMATH Keywords: Jordan reduction
zbMATH Keywords: matrix norms
zbMATH Keywords: eigenvalues
zbMATH Keywords: generalized inverses
zbMATH Keywords: positive matrices
zbMATH Keywords: stochastic matrices
zbMATH Keywords: statistics
describes a project that uses: Maple
MaRDI profile type: Publication
title: Linear algebra. From basics to applications
review text: The aim of this book is to expose linear algebra from the basics to the numerous applications. The first chapters (Chapter 0 through Chapter IV) present the basics of linear algebra; the following chapters (Chapters V through XI) treat more special subjects such as various decompositions (Schur, Dunford, Cholesky, SVD, QR, and so on), Jordan reduction, matrix norms and localization of eigenvalues, generalized inverses, positive matrices, stochastic matrices etc. Therefore, the book is suitable to accompany every student during his/her university classes. But, every user of this book such as statisticians, economists, or engineers can find also mathematical gems.NEWLINENEWLINEThroughout the book, many applications are given, with emphasis -- but not exclusively -- on statistics that illustrate the obtained results in linear algebra. The ``hand calculations'' are quickly limited; in this case, the Maple program is used to solve the numerous exercises. The pertinent Maple files can be downloaded from the internet under {\texttt{www.pur-editions.fr}} for the ease of the reader.
reviewed by: Ludwig Kohaupt
description: scientific article; zbMATH DE number 6058305