Studying new generalizations of Max-Min matrices with a novel approach

Emrah KILIÇ; Talha ARIKAN

Article Details

Studying new generalizations of Max-Min matrices with a novel approach

Authors:

Emrah KILIÇ | Talha ARIKAN

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2019 Vol.43 Issue 4, pp.2010-2024

Document Type:

Article

Publication Date:

7/2019

Document Language:

English

Document ID (Org No.):

2000745576

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Abstract:

 

We consider new kinds of max and min matrices, [amax(i,j)]i,j≥1[amax(i,j)]i,j≥1\left[  a_{\max(i,j)}\right]  _{i,j\geq1} and [amin(i,j)]i,j≥1,[amin(i,j)]i,j≥1,\left[  a_{\min(i,j)}\right]  _{i,j\geq1}, as  generalizations of the classical max and min matrices. Moreover, their  reciprocal analogues for a given sequence {an}{an}\left\{  a_{n}\right\}   have been  studied. We derive their LULULU and Cholesky decompositions and their inverse  matrices as well as the LULULU-decompositions of their inverses. Some  interesting corollaries will be presented.

Article Details

Studying new generalizations of Max-Min matrices with a novel approach

Authors: Emrah KILIÇ | Talha ARIKAN

Publisher: TUBITAK

Journal: Turkish Journal of Mathematics 2019 Vol.43 Issue 4, pp.2010-2024

Document Type: Article

Publication Date: 7/2019

Document Language: English

Document ID (Org No.): 2000745576

Frequency: Bimonthly

eISSN: 1303-6149

pISSN: 1300-0098

Issues

Authors:

Emrah KILIÇ | Talha ARIKAN

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2019 Vol.43 Issue 4, pp.2010-2024

Document Type:

Article

Publication Date:

7/2019

Document Language:

English

Document ID (Org No.):

2000745576

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098