Sturm intersection theory for periodic Jacobi matrices and linear Hamiltonian systems

Schulz-Baldes H (2012)


Publication Type: Journal article, Original article

Publication year: 2012

Journal

Publisher: Elsevier

Book Volume: 436

Pages Range: 498-515

URI: http://de.arxiv.org/abs/1105.6219

DOI: 10.1016/j.laa.2011.06.052

Abstract

Sturm-Liouville oscillation theory for periodic Jacobi operators with matrix entries is discussed and illustrated. The proof simplifies and clarifies the use of intersection theory of Bott, Maslov and Conley-Zehnder. It is shown that the eigenvalue problem for linear Hamiltonian systems can be dealt with by the same approach. © 2011 Elsevier Inc. All rights reserved.

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APA:

Schulz-Baldes, H. (2012). Sturm intersection theory for periodic Jacobi matrices and linear Hamiltonian systems. Linear Algebra and Its Applications, 436, 498-515. https://dx.doi.org/10.1016/j.laa.2011.06.052

MLA:

Schulz-Baldes, Hermann. "Sturm intersection theory for periodic Jacobi matrices and linear Hamiltonian systems." Linear Algebra and Its Applications 436 (2012): 498-515.

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