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Discrete Hamiltonian systems : difference equations, continued fractions, and Riccati equations
Resource Information
The work ** Discrete Hamiltonian systems : difference equations, continued fractions, and Riccati equations** represents a distinct intellectual or artistic creation found in **University of Missouri Libraries**. This resource is a combination of several types including: Work, Language Material, Books.

The Resource
Discrete Hamiltonian systems : difference equations, continued fractions, and Riccati equations
Resource Information

The work

**Discrete Hamiltonian systems : difference equations, continued fractions, and Riccati equations**represents a distinct intellectual or artistic creation found in**University of Missouri Libraries**. This resource is a combination of several types including: Work, Language Material, Books.- Label
- Discrete Hamiltonian systems : difference equations, continued fractions, and Riccati equations

- 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 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

- Cataloging source
- DLC

- 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

- Series statement
- Kluwer texts in the mathematical sciences

- Series volume
- v. 16

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