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Titlebook: Discrete Hamiltonian Systems; Difference Equations Calvin D. Ahlbrandt,Allan C. Peterson Book 1996 Springer Science+Business Media Dordrech

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書目名稱Discrete Hamiltonian Systems
副標題Difference Equations
編輯Calvin D. Ahlbrandt,Allan C. Peterson
視頻videohttp://file.papertrans.cn/282/281133/281133.mp4
叢書名稱Texts in the Mathematical Sciences
圖書封面Titlebook: Discrete Hamiltonian Systems; Difference Equations Calvin D. Ahlbrandt,Allan C. Peterson Book 1996 Springer Science+Business Media Dordrech
描述This book should be accessible to students who have had a first course in matrix theory. The existence and uniqueness theorem of Chapter 4 requires the implicit function theorem, but we give a self-contained constructive proof ofthat theorem. The reader willing to accept the implicit function theorem can read the book without an advanced calculus background. Chapter 8 uses the Moore-Penrose pseudo-inverse, but is accessible to students who have facility with matrices. Exercises are placed at those points in the text where they are relevant. For U. S. universities, we intend for the book to be used at the senior undergraduate level or beginning graduate level. Chapter 2, which is on continued fractions, is not essential to the material of the remaining chapters, but is intimately related to the remaining material. Continued fractions provide closed form representations of the extreme solutions of some discrete matrix Riccati equations. Continued fractions solution methods for Riccati difference equations provide an approach analogous to series solution methods for linear differential equations. The book develops several topics which have not been available at this level. In particul
出版日期Book 1996
關(guān)鍵詞Matrix; Matrix Theory; Microsoft Access; Optimal control; boundary element method; chemistry; continued fr
版次1
doihttps://doi.org/10.1007/978-1-4757-2467-7
isbn_softcover978-1-4419-4763-5
isbn_ebook978-1-4757-2467-7Series ISSN 0927-4529
issn_series 0927-4529
copyrightSpringer Science+Business Media Dordrecht 1996
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Enterprise-Application-Integration-Systemed 4 we will be concerned with Green’s matrix functions for the conjugate boundary value problem and for the right focal boundary value problem. In Section 5 we will consider a Green’s matrix function for a more general two point boundary value problem.
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,Green’s Functions for Nonhomogeneous Second Order Difference Equations,d 4 we will be concerned with Green’s matrix functions for the conjugate boundary value problem and for the right focal boundary value problem. In Section 5 we will consider a Green’s matrix function for a more general two point boundary value problem.
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Second Order Scalar Difference Equations,ave a particular form called symplectic. Later chapters will show how these symplectic systems contain discrete linear Hamiltonian systems. We will also use the linear theory in order to motivate the symplectic structure of general nonlinear discrete Hamiltonian systems. There are interconnections b
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Continued Fractions,s as our goal, we make a fresh start in neutral notation. Recall some basic facts about linear fractional (M?bius) transformations. Suppose that . is a nonsingular 2 × 2 matrix . with real or complex entries. The associated linear fractional transformation is formally defined by ..
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