Hermite型Toeplitz矩阵的惯性
INERTIA OF A HERMITIAN TOEPLITZ MATRIX
摘要
应用Hermite型Toeplitz矩阵的典型表示导出该矩阵的惯性表达式 .这里的分析是基于实Hankel矩阵的相应结果以及Hankel与Toeplitz矩阵之间的关系 .
The inertia formula for a Hermitian Toeplitz matrix is obtained in terms of the canonical representation thereof.The analysis here is based on the analogue of real Hankel matrices and the connection of Toeplitz matrices with Hankel matrices.
出处
《北京师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2003年第2期159-164,共6页
Journal of Beijing Normal University(Natural Science)
基金
国家自然科学基金资助项目 (199710 0 9)
参考文献6
-
1Chen Gongning, Hu Yongjian. On the multiple Nevanlinna-Pick matrix interpolation in the class Φp and the Caratheodary matrix coefficient problems[J]. Linear Algebra Appl, 1998,283:179.
-
2Ball J A, Gohberg I, Rodman L. Interpolation of rational matrix functions[M]. Basel: Birkhaeiuser-Verlag, 1990.
-
3Dym H. J-contractive matrix functions, reproducing kernel Hilbert spaces and inter-polation[M]. Rhode Island: Amer Math Soc Providence, 1989.
-
4Kovalishina I. Analytic theory of a class of interpolation problems[J]. Math USSR Izv, 1984, 22:419.
-
5Krein M G, Langer H. UEber einige fortsetzungsproblem, die eng mit der theorie her-mitescher operatoren im rausme Ⅱs zusammenhaengen ( I ) : einige funktionenklassen und ihre darstellungen [J].Math Nachr, 1977,77:187.
-
6Heinig G,Rost K. Algebraic methods for Toeplitz-like matrices and operator[M]. Basel: Birkhaeuser-Verlag, 1984.
