DOAJ Open Access 2019

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

Takahira S. Sogabe T. Usuda T.S.

Abstrak

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 related to the fast block diagonalization algorithm using the permutation matrix from [T. Sogabe and M. El-Mikkawy, Appl. Math. Comput., 218, (2011), 2740-2743] and [A. Ohashi, T. Sogabe, and T. S. Usuda, Int. J. Pure and App. Math., 106, (2016), 513-523].

Topik & Kata Kunci

Mathematics

Penulis (3)

Takahira S.

Sogabe T.

Usuda T.S.

Format Sitasi

APA MLA BibTeX

S., T., T., S., T.S., U. (2019). Bidiagonalization of (k, k + 1)-tridiagonal matrices. https://doi.org/10.1515/spma-2019-0002

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Informasi Jurnal

Tahun Terbit: 2019
Sumber Database: DOAJ
DOI: 10.1515/spma-2019-0002
Akses: Open Access ✓