Sturm theorem for the generalized Frank matrix

Efruz Özlem MERSİN; Mustafa BAHŞİ

doi:https://doi.org/10.15672/hujms.773281

Makale detayları

Sturm theorem for the generalized Frank matrix

Yazarlar:

Efruz Özlem MERSİN | Mustafa BAHŞİ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 4, pp.1002-1011

Belge Tipi:

Makale

Yayın Tarihi:

8/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000450564

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.773281

Özet:

 

One of the popular test matrices for eigenvalue routines is the Frank matrix due to its well-conditioned and poorly conditioned eigenvalues.  All the eigenvalues of the Frank matrix are real, positive and different. Sturm Theorem is a very useful tool for computing the eigenvalues of tridiagonal symmetric matrices. In this paper, we apply Sturm Theorem to the generalized Frank matrix which is a special form of the Hessenberg matrix and examine its eigenvalues by using Sturm property. Moreover, we illustrate our results with an example.

Makale detayları

Sturm theorem for the generalized Frank matrix

Yazarlar: Efruz Özlem MERSİN | Mustafa BAHŞİ

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 4, pp.1002-1011

Belge Tipi: Makale

Yayın Tarihi: 8/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000450564

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.773281

Sayı

Yazarlar:

Efruz Özlem MERSİN | Mustafa BAHŞİ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 4, pp.1002-1011

Belge Tipi:

Makale

Yayın Tarihi:

8/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000450564

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.773281