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The Resource Discrete Hamiltonian systems : difference equations, continued fractions, and Riccati equations, by Calvin D. Ahlbrandt and Allan C. Peterson

Discrete Hamiltonian systems : difference equations, continued fractions, and Riccati equations, by Calvin D. Ahlbrandt and Allan C. Peterson

Label
Discrete Hamiltonian systems : difference equations, continued fractions, and Riccati equations
Title
Discrete Hamiltonian systems
Title remainder
difference equations, continued fractions, and Riccati equations
Statement of responsibility
by Calvin D. Ahlbrandt and Allan C. Peterson
Creator
Contributor
Subject
Language
eng
Summary
This book explores several aspects of discrete Hamiltonian systems. It is unique in that it provides interconnections between symplectic systems, recessive and dominant solutions, various discrete Riccati equations, and continued fraction representations of solutions of Riccati equations. It also presents variable step size discrete variational theory, a discrete Legendre transformation from discrete Euler-Lagrange equations to discrete Hamiltonian systems. Novel use is made of the implicit function theorem to show the importance of step size in numerical solutions of Hamiltonian systems. An "a priori" step size criterion shows how one can avoid parasitic numerical solutions. This book is accessible to students of mathematics, engineering, physics, chemistry and economics at the senior or beginning graduate level who have completed a course in matrix theory. It provides foundation work for engineering students studying optimal control and estimation as well as the variational problems arising in physics, chemistry, and economics
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Ahlbrandt, Calvin D
Dewey number
514/.74
Index
index present
LC call number
QA614.83
LC item number
.A43 1996
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Peterson, Allan C
Series statement
Kluwer texts in the mathematical sciences
Series volume
v. 16
http://library.link/vocab/subjectName
  • Hamiltonian systems
  • Systèmes hamiltoniens
Label
Discrete Hamiltonian systems : difference equations, continued fractions, and Riccati equations, by Calvin D. Ahlbrandt and Allan C. Peterson
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 357-369) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Second Order Scalar Difference Equations -- 2. Continued Fractions -- 3. Symplectic Systems -- 4. Discrete Variational Theory -- 5. Symmetric Three Term Recurrence Relations -- 6. Discrete Riccati Equations for Three Term Recurrences -- 7. Green's Functions for Nonhomogeneous Second Order Difference Equations -- 8. Disconjugacy Criteria -- 9. Discrete Linear Hamiltonian Systems
Control code
35638013
Dimensions
25 cm
Extent
xiv, 374 pages
Isbn
9780792342779
Isbn Type
(hc : acid-free paper)
Lccn
96045991
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)35638013
Label
Discrete Hamiltonian systems : difference equations, continued fractions, and Riccati equations, by Calvin D. Ahlbrandt and Allan C. Peterson
Publication
Bibliography note
Includes bibliographical references (pages 357-369) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Second Order Scalar Difference Equations -- 2. Continued Fractions -- 3. Symplectic Systems -- 4. Discrete Variational Theory -- 5. Symmetric Three Term Recurrence Relations -- 6. Discrete Riccati Equations for Three Term Recurrences -- 7. Green's Functions for Nonhomogeneous Second Order Difference Equations -- 8. Disconjugacy Criteria -- 9. Discrete Linear Hamiltonian Systems
Control code
35638013
Dimensions
25 cm
Extent
xiv, 374 pages
Isbn
9780792342779
Isbn Type
(hc : acid-free paper)
Lccn
96045991
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)35638013

Library Locations

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