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.

翻译：我们描述成块的雅各比矩阵与离散时间最佳控制问题最小化问题之间的关系。我们利用为持续情况开发的技术,提供新的算法,计算成成块的雅各比矩阵的光谱变量。我们介绍了一些实例和应用。