Morse index and determinant of block Jacobi matrices via optimal control
Optimization and Control
2022-12-16 v1 Numerical Analysis
Numerical Analysis
Abstract
We describe the relation between block Jacobi matrices and minimization problems for discrete time optimal control problems. Using techniques developed for the continuous case, we provide new algorithms to compute spectral invariants of block Jacobi matrices. Some examples and applications are presented.
Keywords
Cite
@article{arxiv.2212.07642,
title = {Morse index and determinant of block Jacobi matrices via optimal control},
author = {Stefano Baranzini and Ivan Beschastnyi},
journal= {arXiv preprint arXiv:2212.07642},
year = {2022}
}
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25 pages