A functional approach to the Stein equation

作者：Fuhrmann P A^*

来源：Linear Algebra and Its Applications, 2010, 432(12): 3031-3071.

DOI：10.1016/j.laa.2010.02.001

• Tensor products
• Polynomial models
• Toeplitz and Hankel operators
• Bezoutians
• Stein and Sylvester equations

This paper applies the theory of tensor products of functional models to the study of the Stein equation. We analyse the connections between the Sylvester and Stein equations, as well as those between the Anderson-Jury Bezoutian associated with the polynomial Sylvester equation and the T-Bezoutian associated with the homogeneous polynomial Stein equation. The functional setting allows us to extend the theory of finite section Toeplitz matrices and their inversion.

• 出版日期2010-7-1