Bidiagonalization of (k, k + 1)-tridiagonal matrices

In this paper,we present the bidiagonalization of n-by-n (k, k+1)-tridiagonal matriceswhen n < 2k. Moreover,we show that the determinant of an n-by-n (k, k+1)-tridiagonal matrix is the product of the diagonal elements and the eigenvalues of the matrix are the diagonal elements. This paper is rela...

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Bibliographic Details
Main Authors: Takahira S., Sogabe T., Usuda T.S.
Format: Article
Language:English
Published: De Gruyter 2019-01-01
Series:Special Matrices
Subjects:
(k
Online Access:https://doi.org/10.1515/spma-2019-0002