论文信息 - On orthogonal polynomials

On orthogonal polynomials

Abstract A study is made of the orthogonal polynomials on certain curves in the complex plane. Necessary and sufficient conditions for a set of polynomials to be orthogonal on the curves are obtained in terms of symmetric matrices. The relations of the symmetric matrices to Toeplitz matrices and innerwise matrices are shown.

E. I. Jury | E. Jury | S. Ahn | S. M. Ahn

[1] E. Jury,et al. Remarks on the root-clustering of a polynomial in a certain region in the complex plane , 1974 .

[2] E. Jury,et al. Symmetric and innerwise matrices for the root-clustering and root-distribution of a polynomial , 1972 .

[3] S. Barnett. A companion matrix analogue for orthogonal polynomials , 1975 .