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Linear and Multilinear Algebra Volume 59, 2011 - Issue 9
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Original Articles

Divisibility among power GCD matrices and among power LCM matrices on two coprime divisor chains II

Qianrong Tan Department of Computer Science and Technology, Panzhihua University, Panzhihua 617000, P.R. ChinaCorrespondence[email protected]
,
Zongbing Lin Department of Computer Science and Technology, Panzhihua University, Panzhihua 617000, P.R. China
&
Liu Liu Department of Mathematics and Finance and Economics, Sichuan University of Arts and Science, Dazhou 635000, P.R. China
Pages 969-983 | Received 28 Mar 2010, Accepted 15 Jul 2010, Published online: 15 Apr 2011

Citations (13)

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Read on this site (4)

Qianrong Tan, Zongbing Lin & Long Chen. (2016) Divisibility among power matrices associated with arithmetic functions on finitely many quasi-coprime divisor chains. Linear and Multilinear Algebra 64:10, pages 2030-2048.
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Shuangnian Hu & Shaofang Hong. (2014) Multiple divisor chains and determinants of matrices associated with completely even functions (mod r). Linear and Multilinear Algebra 62:9, pages 1240-1257.
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Jianrong Zhao. (2014) Divisibility of power LCM matrices by power GCD matrices on gcd-closed sets. Linear and Multilinear Algebra 62:6, pages 735-748.
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Zongbing Lin & Qianrong Tan. (2012) Determinants of Smith matrices on three coprime divisor chains and divisibility. Linear and Multilinear Algebra 60:4, pages 475-486.
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Articles from other publishers (9)

Guangyan Zhu, Mao Li & Xiaofan Xu. (2022) New results on the divisibility of power GCD and power LCM matrices. AIMS Mathematics 7:10, pages 18239-18252.
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Long Chen & Shaofang Hong. (2020) Divisibility among determinants of power matrices associated with integer-valued arithmetic functions. AIMS Mathematics 5:3, pages 1946-1959.
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Ercan Altınışık, Mehmet Yıldız & Ali Keskin. (2017) Non-divisibility of LCM matrices by GCD matrices on gcd-closed sets. Linear Algebra and its Applications 516, pages 47-68.
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Shuangnian Hu, Shaofang Hong & Jianrong Zhao. (2015) Determinants of matrices associated with arithmetic functions on finitely many quasi-coprime divisor chains. Applied Mathematics and Computation 258, pages 502-508.
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Qianrong Tan, Miao Luo & Zongbing Lin. (2013) Determinants and divisibility of power GCD and power LCM matrices on finitely many coprime divisor chains. Applied Mathematics and Computation 219:15, pages 8112-8120.
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Qianrong Tan & Mao Li. (2013) Divisibility among power GCD matrices and among power LCM matrices on finitely many coprime divisor chains. Linear Algebra and its Applications 438:3, pages 1454-1466.
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Mao Li & Qianrong Tan. (2011) Divisibility of matrices associated with multiplicative functions. Discrete Mathematics 311:20, pages 2276-2282.
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SHAOFANG HONG & RAPHAEL LOEWY. (2011) ASYMPTOTIC BEHAVIOR OF THE SMALLEST EIGENVALUE OF MATRICES ASSOCIATED WITH COMPLETELY EVEN FUNCTIONS ( mod r) . International Journal of Number Theory 07:06, pages 1681-1704.
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Qianrong Tan & Zongbing Lin. (2010) Divisibility of determinants of power GCD matrices and power LCM matrices on finitely many quasi-coprime divisor chains. Applied Mathematics and Computation 217:8, pages 3910-3915.
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