The Resource Tchebycheff approximation on a discrete point set : algorithms old and new, by William Edward McBride

Tchebycheff approximation on a discrete point set : algorithms old and new, by William Edward McBride

Label
Tchebycheff approximation on a discrete point set : algorithms old and new
Title
Tchebycheff approximation on a discrete point set
Title remainder
algorithms old and new
Statement of responsibility
by William Edward McBride
Creator
Author
Subject
Language
eng
Summary
"Several linear and nonlinear algorithms for solving the discrete Tchebycheff problem are compared in this study. The Lawson algorithm is compared with two more well-known methods of linear Tchebycheff approximation. A new acceleration scheme for the Lawson algorithm is introduced and its performance is tested with an already existing acceleration technique. The new version is found to be better than the previous one but not as effective as the traditional Exchange method. A nonlinear version of Lawson's algorithm is proposed for the solution of problems having approximating functions which are varisolvent. Some linear theorems of Lawson are extended to the nonlinear case. A modification of Osborne and Watson's nonlinear method is introduced and tested on five problems. This new technique improves the efficiency remarkably, particularly for larger problems"--Abstract, page ii
Member of
Cataloging source
UMR
http://library.link/vocab/creatorDate
1940-
http://library.link/vocab/creatorName
McBride, William Edward
Degree
Ph. D.
Dissertation year
1973.
Granting institution
University of Missouri--Rolla
Illustrations
illustrations
Index
no index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
  • theses
http://library.link/vocab/subjectName
  • Approximation theory
  • Chebyshev systems
Label
Tchebycheff approximation on a discrete point set : algorithms old and new, by William Edward McBride
Instantiates
Publication
Note
Vita
Bibliography note
Includes bibliographical references (pages 79-81)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Control code
913831905
Extent
1 online resource (vii, 92 pages)
Form of item
online
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other physical details
illustrations.
Specific material designation
remote
System control number
(OCoLC)913831905
Label
Tchebycheff approximation on a discrete point set : algorithms old and new, by William Edward McBride
Publication
Note
Vita
Bibliography note
Includes bibliographical references (pages 79-81)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Control code
913831905
Extent
1 online resource (vii, 92 pages)
Form of item
online
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other physical details
illustrations.
Specific material designation
remote
System control number
(OCoLC)913831905

Library Locations

    • Curtis Laws Wilson LibraryBorrow it
      400 West 14th Street, Rolla, MO, 65409, US
      37.955220 -91.772210
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