用典则系统解释 Schur-Cohn 检验
Interpretation of the Schur-Cohn test in terms of canonical systems
AI总结:
本文研究二维拟典则系统的正、反问题,并借助典则系统 Hamiltonian 给出经典 Schur-Cohn 检验中矩阵及行列式的新解释。
摘要:
我们求解了与一类特定但足够一般的指数多项式相关的二维(拟)典则系统的正问题和反问题。本文处理反问题的方法,用典则系统的 Hamiltonian 解释了经典多项式 Schur-Cohn 检验中的矩阵及其行列式。
英文摘要:
We solve direct and inverse problems for two-dimensional (quasi) canonical systems related to exponential polynomials of a specific but sufficiently general type. The approach to the inverse problem in this paper provides an interpretation of the matrices and their determinants in the classical Schur-Cohn test for polynomials in terms of Hamiltonians of canonical system.
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