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
Resource Information
The item Discrete Hamiltonian systems : difference equations, continued fractions, and Riccati equations, by Calvin D. Ahlbrandt and Allan C. Peterson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Discrete Hamiltonian systems : difference equations, continued fractions, and Riccati equations, by Calvin D. Ahlbrandt and Allan C. Peterson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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 EulerLagrange 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
 Language
 eng
 Extent
 xiv, 374 pages
 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
 Isbn
 9780792342779
 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
 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 EulerLagrange 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
 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
 Bibliography note
 Includes bibliographical references (pages 357369) 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 : acidfree 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
 Bibliography note
 Includes bibliographical references (pages 357369) 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 : acidfree paper)
 Lccn
 96045991
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 System control number
 (OCoLC)35638013
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/DiscreteHamiltoniansystemsdifference/lw9EgqnGgk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/DiscreteHamiltoniansystemsdifference/lw9EgqnGgk/">Discrete Hamiltonian systems : difference equations, continued fractions, and Riccati equations, by Calvin D. Ahlbrandt and Allan C. Peterson</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>