Morse index and determinant of block Jacobi matrices via optimal control

Published 15 Dec 2022 in math.OC, cs.NA, and math.NA | (2212.07642v1)

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.

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