Research Article
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The bounds for perron roots of GCD, GMM, and AMM matrices

Year 1997, Volume: 46 , 165 - 171, 01.01.1997

Dursun Taşçı

https://doi.org/10.1501/Commua1_0000000434
Cited By: 2

Abstract

In this paper we define the greatest conunon divisor matrix (or GCD), the geometric mean matrix (or GMM) and the arithmetic mean matrix (or AMM) on the set E = {1, 2 3, ..., n} and we obtain the bounds for the Perron root of these matrices.

Keywords

The bounds Roots of GCD AMM martrices

References

  • Ankara Üniversitesi Communications, Series A1:Mathematics and Statistics

Year 1997, Volume: 46 , 165 - 171, 01.01.1997

Dursun Taşçı

https://doi.org/10.1501/Commua1_0000000434
Cited By: 2

Abstract

References

  • Ankara Üniversitesi Communications, Series A1:Mathematics and Statistics
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Dursun Taşçı This is me

Publication Date January 1, 1997
Submission Date January 1, 1997
Published in Issue Year 1997 Volume: 46

Cite

APA Taşçı, D. (1997). The bounds for perron roots of GCD, GMM, and AMM matrices. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 46, 165-171. https://doi.org/10.1501/Commua1_0000000434
AMA Taşçı D. The bounds for perron roots of GCD, GMM, and AMM matrices. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. January 1997;46:165-171. doi:10.1501/Commua1_0000000434
Chicago Taşçı, Dursun. “The Bounds for Perron Roots of GCD, GMM, and AMM Matrices”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 46, January (January 1997): 165-71. https://doi.org/10.1501/Commua1_0000000434.
EndNote Taşçı D (January 1, 1997) The bounds for perron roots of GCD, GMM, and AMM matrices. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 46 165–171.
IEEE D. Taşçı, “The bounds for perron roots of GCD, GMM, and AMM matrices”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 46, pp. 165–171, 1997, doi: 10.1501/Commua1_0000000434.
ISNAD Taşçı, Dursun. “The Bounds for Perron Roots of GCD, GMM, and AMM Matrices”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 46 (January 1997), 165-171. https://doi.org/10.1501/Commua1_0000000434.
JAMA Taşçı D. The bounds for perron roots of GCD, GMM, and AMM matrices. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1997;46:165–171.
MLA Taşçı, Dursun. “The Bounds for Perron Roots of GCD, GMM, and AMM Matrices”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 46, 1997, pp. 165-71, doi:10.1501/Commua1_0000000434.
Vancouver Taşçı D. The bounds for perron roots of GCD, GMM, and AMM matrices. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1997;46:165-71.

Cited By

On inverses of GCD matrices associated with multiplicative functions and a proof of the Hong–Loewy conjecture
Linear Algebra and its Applications
https://doi.org/10.1016/j.laa.2008.10.025
Inertia, positive definiteness and ℓ norm of GCD and LCM matrices and their unitary analogs
Linear Algebra and its Applications
https://doi.org/10.1016/j.laa.2018.08.022

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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