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The Resource Iterative solution of symmetric quasi-definite linear systems, Dominique Orban, Mario Arioli

Iterative solution of symmetric quasi-definite linear systems, Dominique Orban, Mario Arioli

Label
Iterative solution of symmetric quasi-definite linear systems
Title
Iterative solution of symmetric quasi-definite linear systems
Statement of responsibility
Dominique Orban, Mario Arioli
Creator
Contributor
Author
Publisher
Subject
Language
eng
Summary
Numerous applications, including computational optimization and fluid dynamics, give rise to block linear systems of equations said to have the quasi-definite structure. In practical situations, the size or density of those systems can preclude a factorization approach, leaving only iterative methods as the solution technique. Known iterative methods, however, are not specifically designed to take advantage of the quasi-definite structure. This book discusses the connection between quasi-definite systems and linear least-squares problems, the most common and best understood problems in applied mathematics, and explains how quasi-definite systems can be solved using tailored iterative methods for linear least squares (with half as much work!). To encourage researchers and students to use the software, it is provided in MATLAB, Python, and Julia. The authors provide a concise account of the most well-known methods for symmetric systems and least-squares problems, research-level advances in the solution of problems with specific illustrations in optimization and fluid dynamics, and a website that hosts software in three languages
Member of
Additional physical form
Also available in print version.
Cataloging source
CaBNVSL
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
SIAM spotlights
Series volume
3
Target audience
adult
Iterative solution of symmetric quasi-definite linear systems, Dominique Orban, Mario Arioli
Label
Iterative solution of symmetric quasi-definite linear systems, Dominique Orban, Mario Arioli
Link
http://libproxy.rpi.edu/login?url=http://epubs.siam.org/doi/book/http://libproxy.rpi.edu/login?url=http://epubs.siam.org/doi/book/10.1137/1.9781611974737
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Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier MARC source
rdacarrier
Color
black and white
Content category
text
Content type MARC source
rdacontent
Contents
Preface -- 1. Introduction -- 2. Preliminaries -- 3. Overview of existing direct and iterative methods -- 4. Fundamental processes -- 5. Iterative methods based on reduced equations -- 6. Full-space iterative methods -- 7. Software and numerical experiments -- 8. Discussion and open questions
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9781611974737&userID=ebsco-test&password=ebsco-test
Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b4298597'}
Extent
1 PDF (xii, 93 pages).
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9781611974737
Lccn
2016054562
Media category
electronic
Media MARC source
isbdmedia
Publisher number
SL03
Reformatting quality
access
Specific material designation
remote
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader

Library Locations

    • Folsom LibraryBorrow it
      110 8th St, Troy, NY, 12180, US
      42.729766 -73.682577
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