JournalspmVol. 81, No. 1/2pp. 107–126

Morse index of block Jacobi matrices via optimal control

  • Stefano Baranzini

    Università di Torino, Torino, Italy

  • Ivan Beschastnyi

    Universidade de Aveiro, Aveiro, Portugal
Morse index of block Jacobi matrices via optimal control cover
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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 and estimate spectral invariants of block Jacobi matrices.

Cite this article

Stefano Baranzini, Ivan Beschastnyi, Morse index of block Jacobi matrices via optimal control. Port. Math. 81 (2024), no. 1/2, pp. 107–126

DOI 10.4171/PM/2117