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Inverses and Determinants of Toeplitz-Hessenberg Matrices
Inverses and Determinants of Toeplitz-Hessenberg Matrices
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Inverses and Determinants of Toeplitz-Hessenberg Matrices
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Inverses and Determinants of Toeplitz-Hessenberg Matrices
Inverses and Determinants of Toeplitz-Hessenberg Matrices
Journal Article

Inverses and Determinants of Toeplitz-Hessenberg Matrices

2018
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Overview
The inverses of Toeplitz-Hessenberg matrices are investigated. It is known that each inverse of such a matrix is a sum of a lower triangular matrix 𝐿 and a matrix 𝑅 of rank 1. The formulas of 𝐿 and 𝑥, 𝑦 such that 𝑥𝑦𝑇 = 𝑅 are derived. Using this result we propose an algorithm for inverting Toeplitz-Hessenberg matrices. Moreover, from the expression of the inverse a formula for the determinant is deduced.
Publisher
Mathematical Society of the Republic of China

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