Sylvester矩阵和三角Toeplitz矩阵的子矩阵的性质
Properties of sub-matrices of Sylvester matrices and triangular toeplitz matrices
摘要：
本文发现并证明了Sylvester矩阵的子矩阵与三角Toeplitz矩阵之间的一些有趣而重要的关系。主要结果是R. D. Hill的理论在最优控制问题中有重要应用。
英文摘要：
In this note we discover and prove some interesting and important relations among sub-matrices of Sylvester matrices and triangular toeplitz matrices. The main result is Hill's identity discovered by R. D. Hill which has an important application in optimal control problems.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
