The Resource Separable type representations of matrices and fast algorithms, Volume 2, Eigenvalue method, Yuli Eidelman, Israel Gohberg, Iulian Haimovici

Separable type representations of matrices and fast algorithms, Volume 2, Eigenvalue method, Yuli Eidelman, Israel Gohberg, Iulian Haimovici

Label
Separable type representations of matrices and fast algorithms, Volume 2, Eigenvalue method
Title
Separable type representations of matrices and fast algorithms
Title number
Volume 2
Title part
Eigenvalue method
Statement of responsibility
Yuli Eidelman, Israel Gohberg, Iulian Haimovici
Title variation
Eigenvalue method
Creator
Contributor
Author
Subject
Language
eng
Summary
This two-volume work presents a systematic theoretical and computational study of several types of generalizations of separable matrices. The primary focus is on fast algorithms (many of linear complexity) for matrices in semiseparable, quasiseparable, band and companion form. The work examines algorithms of multiplication, inversion and description of eigenstructure and includes a wealth of illustrative examples throughout the different chapters. The second volume, consisting of four parts, addresses the eigenvalue problem for matrices with quasiseparable structure and applications to the polynomial root finding problem. In the first part the properties of the characteristic polynomials of principal leading submatrices, the structure of eigenspaces and the basic methods for computing eigenvalues are studied in detail for matrices with quasiseparable representation of the first order. The second part is devoted to the divide and conquer method, with the main algorithms also being derived for matrices with quasiseparable representation of order one. The QR iteration method for some classes of matrices with quasiseparable representations of any order is studied in the third part. This method is then used in the last part in order to provide a fast solver for the polynomial root finding problem. The work is based mostly on results obtained by the authors and their coauthors. Due to its many significant applications and accessible style, the text will be a valuable resource for engineers, scientists, numerical analysts, computer scientists and mathematicians alike
Member of
Cataloging source
GW5XE
Dewey number
512.9/434
Index
index present
LC call number
QA188
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Operator Theory: Advances and Applications,
Series volume
volume 235
Label
Separable type representations of matrices and fast algorithms, Volume 2, Eigenvalue method, Yuli Eidelman, Israel Gohberg, Iulian Haimovici
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
http://library.link/vocab/branchCode
  • net
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Part V. The eigenvalue structure of order one quasiseparable matrices -- part VI. Divide and conquer method for the eigenproblem -- part VII. Algorithms for QR iterations and for reduction to Hessenberg form -- part VIII. QR iterations for companion matrices
Control code
ocn862110523
Dimensions
unknown
Extent
1 online resource (xi, 359 pages)
File format
unknown
Form of item
online
Isbn
9783034806121
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-0348-0612-1
Quality assurance targets
unknown
http://library.link/vocab/recordID
.b31757728
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)862110523
  • springer3034806051

Library Locations

    • Deakin University Library - Geelong Waurn Ponds CampusBorrow it
      75 Pigdons Road, Waurn Ponds, Victoria, 3216, AU
      -38.195656 144.304955
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