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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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Article

The GCD-Reciprocal LCM Matrices on GCD-Closed Sets

by
Ayşe NaIII
1,* and
Dursun Taşci
2
1
Department of Mathematics, Selcuk University, 42031, Campus-Konya, Turkey
2
Department of Mathematics, Gazi University, Teknikokullar-Ankara, Turkey
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2004, 9(1), 101-106; https://doi.org/10.3390/mca9010101
Published: 1 April 2004
Versions Notes

Abstract

We have given a structure theorem for the GCD-Reciprocal LCM matrix and then we have calculated the value of the determinant of the GCD-Reciprocal LCM matrix. We have obtained formula for the determinant and the inverse of the GCD-Reciprocal LCM matrix defined on gcd-closed sets.
Keywords: Greatest common divisor; GCD matrices; LDM matrices. Greatest common divisor; GCD matrices; LDM matrices.

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MDPI and ACS Style

NaIII, A.; Taşci, D. The GCD-Reciprocal LCM Matrices on GCD-Closed Sets. Math. Comput. Appl. 2004, 9, 101-106. https://doi.org/10.3390/mca9010101

AMA Style

NaIII A, Taşci D. The GCD-Reciprocal LCM Matrices on GCD-Closed Sets. Mathematical and Computational Applications. 2004; 9(1):101-106. https://doi.org/10.3390/mca9010101

Chicago/Turabian Style

NaIII, Ayşe, and Dursun Taşci. 2004. "The GCD-Reciprocal LCM Matrices on GCD-Closed Sets" Mathematical and Computational Applications 9, no. 1: 101-106. https://doi.org/10.3390/mca9010101

APA Style

NaIII, A., & Taşci, D. (2004). The GCD-Reciprocal LCM Matrices on GCD-Closed Sets. Mathematical and Computational Applications, 9(1), 101-106. https://doi.org/10.3390/mca9010101

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