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The Lanczos method : evolution and application

Author: Louis Komzsik
Publisher: Philadelphia : SIAM, Society for Industrial and Applied Mathematics, ©2003.
Series: Software, environments, tools.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
The Lanczos Method: Evolution and Application is divided into two distinct parts. The first part reviews the evolution of one of the most widely used numerical techniques in the industry. The development of the method, as it became more robust, is demonstrated through easy-to-understand algorithms. The second part contains industrial applications drawn from the author's experience. These chapters provide a unique  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Komzsik, Louis.
Lanczos method.
Philadelphia : SIAM, Society for Industrial and Applied Mathematics, ©2003
(DLC) 2002044643
(OCoLC)51242073
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Louis Komzsik
ISBN: 0898715377 9780898715378 9780898718188 089871818X
OCLC Number: 693881831
Description: xii, 87 pages : illustrations ; 26 cm.
Contents: Preface --
Part I: Evolution --
Chapter 1: The classical Lanczos method --
Chapter 2: The Lanczos method in exact arithmetic --
Chapter 3: The Lanczos method in finite precision --
Chapter 4: Block real symmetric Lanczos method --
Chapter 5: Block unsymmetric Lanczos method --
Part II: Applications --
Chapter 6: Industrial implementation of the Lanczos method --
Chapter 7: Free undamped vibrations --
Chapter 8: Free damped vibrations --
Chapter 9: Forced vibration analysis --
Chapter 10: Linear systems and the Lanczos method --
Closing Remarks --
A Brief Biography of Cornelius Lanczos --
Bibliography --
Index.
Series Title: Software, environments, tools.
Responsibility: Louis Komzsik.

Abstract:

The Lanczos Method: Evolution and Application is divided into two distinct parts. The first part reviews the evolution of one of the most widely used numerical techniques in the industry. The development of the method, as it became more robust, is demonstrated through easy-to-understand algorithms. The second part contains industrial applications drawn from the author's experience. These chapters provide a unique interaction between the numerical algorithms and their engineering applications.

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