2004数学季刊:英文版Requires access

Some Notes for Toeplitz Matrix

LIUShu-qiang, ZHANGHe-ruing

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Abstract

In this paper,we study real symmetric Toeplitz matrices commutable with tridiagonal matrices, present more detailed results than those in [1], and extend them to nonsymmetric Toeplitz matrices. Also, complex Toeplitz matrices, especially the corresponding matrices of lower order, are discussed.

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In this paper,we study real symmetric Toeplitz matrices commutable with tridiagonal matrices, present more detailed results than those in [1], and extend them to nonsymmetric Toeplitz matrices. Also, complex Toeplitz matrices, especially the corresponding matrices of lower order, are discussed.

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Available abstract

In this paper,we study real symmetric Toeplitz matrices commutable with tridiagonal matrices, present more detailed results than those in [1], and extend them to nonsymmetric Toeplitz matrices. Also, complex Toeplitz matrices, especially the corresponding matrices of lower order, are discussed.

Key concepts: Toeplitz matrix, Levinson recursion, Tridiagonal matrix, Mathematics, Matrix (chemical analysis), Matrix analysis, Algebra over a field, Order (exchange)

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