Some Properties of a Toeplitz Matrix Pn (a, b, c)

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Published: Nov 1, 2023
Keywords:
Toeplitz matrix Recurrence relation

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Poonchayar Patthanangkoor
Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathum Thani 12120
Preewara Thikeaw
Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathum Thani 12120
Chinchet Boonmalert
Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathum Thani 12120

Abstract

In this paper, we consider a matrix Pn (a, b, c) which is a special type of Toeplitz matrices. We obtain some relationships between the determinant of the matrix and terms of a certain recurrence relation. We give LU factorization. Furthermore, we determine the inverse of the matrix and then compute the determinant of the inverse of the matrix.

Article Details

Issue
Vol.31 No.5 (September-October 2023)
Section
Physical Sciences

References

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