Morse index of block Jacobi matrices via optimal control

DOI10.4171/pm/2117arXiv2212.07642OpenAlexW4391096712WikidataQ129601377 ScholiaQ129601377MaRDI QIDQ6203852

Ivan Beschastnyi, Unnamed Author

Publication date: 8 April 2024

Published in: Portugaliae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.07642

zbMATH Keywords

discrete systemsMorse indexJacobi matrix

Mathematics Subject Classification ID

Linear-quadratic optimal control problems (49N10) Discrete approximations in optimal control (49M25) Special matrices (15B99) Discrete Morse theory and related ideas in manifold topology (57Q70)

Cites Work

• Sturm intersection theory for periodic Jacobi matrices and linear Hamiltonian systems
• Restricted quadratic forms, inertia theorems, and the Schur complement
• The determinant and volume of 2-bridge links and alternating 3-braids
• Jacobi fields in optimal control: Morse and Maslov indices
• A numerical study of variational discretizations of the Camassa-Holm equation
• Space versus energy oscillations of Pr\"ufer phases for matrix Sturm-Liouville and Jacobi operators
• The square lattice Ising model on the rectangle III: Hankel and Toeplitz determinants
• Index theorems for graph-parametrized optimal control problems
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