{"ID":2840847,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2511.13963","arxiv_id":"2511.13963","title":"Hessians in Birkhoff-Theoretic Trajectory Optimization","abstract":"This paper derives various Hessians associated with Birkhoff-theoretic methods for trajectory optimization. According to a theorem proved in this paper, approximately 80% of the eigenvalues are contained in the narrow interval [-2, 4] for all Birkhoff-discretized optimal control problems. A preliminary analysis of computational complexity is also presented with further discussions on the grand challenge of solving a million point trajectory optimization problem.","short_abstract":"This paper derives various Hessians associated with Birkhoff-theoretic methods for trajectory optimization. According to a theorem proved in this paper, approximately 80% of the eigenvalues are contained in the narrow interval [-2, 4] for all Birkhoff-discretized optimal control problems. A preliminary analysis of comp...","url_abs":"https://arxiv.org/abs/2511.13963","url_pdf":"https://arxiv.org/pdf/2511.13963v1","authors":"[\"I. M. Ross\"]","published":"2025-11-17T22:40:51Z","proceeding":"math.OC","tasks":"[\"math.OC\",\"cs.MS\",\"cs.RO\",\"math.NA\"]","methods":"[]","has_code":false}