Zhu, Guangyan On the divisibility among power GCD and power LCM matrices on gcd-closed sets. (English) Zbl 1496.11047 Int. J. Number Theory 18, No. 7, 1397-1408 (2022). Reviewer: Jorma K. Merikoski (Tampere) MSC: 11C20 11A05 15B36 PDF BibTeX XML Cite \textit{G. Zhu}, Int. J. Number Theory 18, No. 7, 1397--1408 (2022; Zbl 1496.11047) Full Text: DOI OpenURL
Zhao, Jianrong; Chen, Long; Hong, Shaofang GCD-closed sets and divisibility of Smith matrices. (English) Zbl 1484.11095 J. Comb. Theory, Ser. A 188, Article ID 105581, 23 p. (2022). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 11A05 PDF BibTeX XML Cite \textit{J. Zhao} et al., J. Comb. Theory, Ser. A 188, Article ID 105581, 23 p. (2022; Zbl 1484.11095) Full Text: DOI OpenURL
Gatephan, Peeraphat; Rodtes, Kijti Divisibility of LCM matrices by totally nonnegative GCD matrices. (English) Zbl 1464.15021 Linear Algebra Appl. 619, 146-159 (2021). MSC: 15A23 15B48 15A15 PDF BibTeX XML Cite \textit{P. Gatephan} and \textit{K. Rodtes}, Linear Algebra Appl. 619, 146--159 (2021; Zbl 1464.15021) Full Text: DOI arXiv OpenURL
Haukkanen, Pentti; Mattila, Mika; Mäntysalo, Jori Studying the inertias of LCM matrices and revisiting the Bourque-Ligh conjecture. (English) Zbl 1442.11007 J. Comb. Theory, Ser. A 171, Article ID 105161, 26 p. (2020). MSC: 11A05 11C20 15B36 PDF BibTeX XML Cite \textit{P. Haukkanen} et al., J. Comb. Theory, Ser. A 171, Article ID 105161, 26 p. (2020; Zbl 1442.11007) Full Text: DOI arXiv OpenURL
Korkee, Ismo; Mattila, Mika; Haukkanen, Pentti A lattice-theoretic approach to the Bourque-Ligh conjecture. (English) Zbl 1442.11054 Linear Multilinear Algebra 67, No. 12, 2471-2487 (2019). MSC: 11C20 15B36 06B05 PDF BibTeX XML Cite \textit{I. Korkee} et al., Linear Multilinear Algebra 67, No. 12, 2471--2487 (2019; Zbl 1442.11054) Full Text: DOI arXiv OpenURL
Altınışık, Ercan; Yıldız, Mehmet; Keskin, Ali Non-divisibility of LCM matrices by GCD matrices on \(\gcd\)-closed sets. (English) Zbl 1403.11022 Linear Algebra Appl. 516, 47-68 (2017). MSC: 11C20 11A25 15B36 PDF BibTeX XML Cite \textit{E. Altınışık} et al., Linear Algebra Appl. 516, 47--68 (2017; Zbl 1403.11022) Full Text: DOI arXiv OpenURL
Altınışık, Ercan; Büyükköse, Şerife On bounds for the smallest and the largest eigenvalues of GCD and LCM matrices. (English) Zbl 1398.15036 Math. Inequal. Appl. 19, No. 1, 117-125 (2016). MSC: 15B36 15A42 PDF BibTeX XML Cite \textit{E. Altınışık} and \textit{Ş. Büyükköse}, Math. Inequal. Appl. 19, No. 1, 117--125 (2016; Zbl 1398.15036) Full Text: arXiv Link OpenURL
Haukkanen, Pentti; Mattila, Mika; Mäntysalo, Jori Studying the singularity of LCM-type matrices via semilattice structures and their Möbius functions. (English) Zbl 1343.11037 J. Comb. Theory, Ser. A 135, 181-200 (2015). MSC: 11C20 15B36 PDF BibTeX XML Cite \textit{P. Haukkanen} et al., J. Comb. Theory, Ser. A 135, 181--200 (2015; Zbl 1343.11037) Full Text: DOI arXiv OpenURL
Altınışık, Ercan; Büyükköse, Şerife A proof of a conjecture on monotonic behavior of the smallest and the largest eigenvalues of a number theoretic matrix. (English) Zbl 1307.15016 Linear Algebra Appl. 471, 141-149 (2015). MSC: 15A23 15B36 15A60 11A25 11C20 PDF BibTeX XML Cite \textit{E. Altınışık} and \textit{Ş. Büyükköse}, Linear Algebra Appl. 471, 141--149 (2015; Zbl 1307.15016) Full Text: DOI OpenURL
Mattila, Mika On the eigenvalues of combined meet and join matrices. (English) Zbl 1395.15028 Linear Algebra Appl. 466, 1-20 (2015). MSC: 15B36 06B99 11C20 PDF BibTeX XML Cite \textit{M. Mattila}, Linear Algebra Appl. 466, 1--20 (2015; Zbl 1395.15028) Full Text: DOI arXiv OpenURL
Wan, Jixiang; Hu, Shuangnian; Tan, Qianrong New results on nonsingular power LCM matrices. (English) Zbl 1336.11025 Electron. J. Linear Algebra 27, 652-669 (2014). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 PDF BibTeX XML Cite \textit{J. Wan} et al., Electron. J. Linear Algebra 27, 652--669 (2014; Zbl 1336.11025) Full Text: DOI Link OpenURL
Hu, Shuangnian; Hong, Shaofang Multiple divisor chains and determinants of matrices associated with completely even functions \(\pmod r\). (English) Zbl 1307.11035 Linear Multilinear Algebra 62, No. 9, 1240-1257 (2014). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 15A15 11A25 PDF BibTeX XML Cite \textit{S. Hu} and \textit{S. Hong}, Linear Multilinear Algebra 62, No. 9, 1240--1257 (2014; Zbl 1307.11035) Full Text: DOI OpenURL
Zhao, Jianrong Divisibility of power LCM matrices by power GCD matrices on gcd-closed sets. (English) Zbl 1350.11042 Linear Multilinear Algebra 62, No. 6, 735-748 (2014). MSC: 11C20 11A25 15B36 PDF BibTeX XML Cite \textit{J. Zhao}, Linear Multilinear Algebra 62, No. 6, 735--748 (2014; Zbl 1350.11042) Full Text: DOI OpenURL
Mattila, Mika; Haukkanen, Pentti On the positive definiteness and eigenvalues of meet and join matrices. (English) Zbl 1290.15022 Discrete Math. 326, 9-19 (2014). MSC: 15B48 05C50 15A42 PDF BibTeX XML Cite \textit{M. Mattila} and \textit{P. Haukkanen}, Discrete Math. 326, 9--19 (2014; Zbl 1290.15022) Full Text: DOI arXiv OpenURL
Luo, Miao; Tan, Qianrong Nonsingularity of the reciprocal power matrices on three quasi-coprime divisor chains. (English) Zbl 1313.11050 J. East China Norm. Univ., Nat. Sci. Ed. 2013, No. 3, 164-168, 175 (2013). MSC: 11C20 11A15 15B36 PDF BibTeX XML Cite \textit{M. Luo} and \textit{Q. Tan}, J. East China Norm. Univ., Nat. Sci. Ed. 2013, No. 3, 164--168, 175 (2013; Zbl 1313.11050) Full Text: DOI OpenURL
Tan, Qianrong; Luo, Miao; Lin, Zongbing Determinants and divisibility of power GCD and power LCM matrices on finitely many coprime divisor chains. (English) Zbl 1288.15042 Appl. Math. Comput. 219, No. 15, 8112-8120 (2013). MSC: 15B36 11C20 PDF BibTeX XML Cite \textit{Q. Tan} et al., Appl. Math. Comput. 219, No. 15, 8112--8120 (2013; Zbl 1288.15042) Full Text: DOI OpenURL
Mattila, Mika; Haukkanen, Pentti Determinant and inverse of join matrices on two sets. (English) Zbl 1281.15036 Linear Algebra Appl. 438, No. 10, 3891-3904 (2013). MSC: 15B36 15A09 15A15 11C20 PDF BibTeX XML Cite \textit{M. Mattila} and \textit{P. Haukkanen}, Linear Algebra Appl. 438, No. 10, 3891--3904 (2013; Zbl 1281.15036) Full Text: DOI arXiv OpenURL
Batselier, Kim; Dreesen, Philippe; De Moor, Bart A geometrical approach to finding multivariate approximate LCMs and GCDs. (English) Zbl 1337.65033 Linear Algebra Appl. 438, No. 9, 3618-3628 (2013). MSC: 65F20 15A42 65F35 65F50 PDF BibTeX XML Cite \textit{K. Batselier} et al., Linear Algebra Appl. 438, No. 9, 3618--3628 (2013; Zbl 1337.65033) Full Text: DOI OpenURL
Tan, Qianrong; Li, Mao Divisibility among power GCD matrices and among power LCM matrices on finitely many coprime divisor chains. (English) Zbl 1339.11041 Linear Algebra Appl. 438, No. 3, 1454-1466 (2013). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 PDF BibTeX XML Cite \textit{Q. Tan} and \textit{M. Li}, Linear Algebra Appl. 438, No. 3, 1454--1466 (2013; Zbl 1339.11041) Full Text: DOI OpenURL
Lin, Zongbing; Tan, Qianrong Nonsingularity of the reciprocal power GCD matrices and the reciprocal power LCM matrices on two quasi-coprime divisor chains. (Chinese. English summary) Zbl 1274.11076 J. Sichuan Univ., Nat. Sci. Ed. 49, No. 5, 965-969 (2012). MSC: 11C20 11A15 11A05 15B36 PDF BibTeX XML Cite \textit{Z. Lin} and \textit{Q. Tan}, J. Sichuan Univ., Nat. Sci. Ed. 49, No. 5, 965--969 (2012; Zbl 1274.11076) Full Text: DOI OpenURL
Mattila, Mika; Haukkanen, Pentti On the eigenvalues of certain number-theoretic matrices. (English) Zbl 1275.15012 East-West J. Math. 14, No. 2, 121-130 (2012). Reviewer: David Ssevviiri (Kampala) MSC: 15A42 15A23 15A60 11A25 11A05 11C20 PDF BibTeX XML Cite \textit{M. Mattila} and \textit{P. Haukkanen}, East-West J. Math. 14, No. 2, 121--130 (2012; Zbl 1275.15012) Full Text: arXiv OpenURL
Mattila, Mika; Haukkanen, Pentti Some properties of row-adjusted meet and join matrices. (English) Zbl 1280.11018 Linear Multilinear Algebra 60, No. 10, 1211-1221 (2012). Reviewer: C. M. da Fonseca (Coimbra) MSC: 11C20 15B36 06B99 PDF BibTeX XML Cite \textit{M. Mattila} and \textit{P. Haukkanen}, Linear Multilinear Algebra 60, No. 10, 1211--1221 (2012; Zbl 1280.11018) Full Text: DOI arXiv OpenURL
Lin, Zongbing; Tan, Qianrong Determinants of Smith matrices on three coprime divisor chains and divisibility. (English) Zbl 1276.11044 Linear Multilinear Algebra 60, No. 4, 475-486 (2012). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 PDF BibTeX XML Cite \textit{Z. Lin} and \textit{Q. Tan}, Linear Multilinear Algebra 60, No. 4, 475--486 (2012; Zbl 1276.11044) Full Text: DOI OpenURL
Bege, Antal Generalized LCM matrices. (English) Zbl 1249.11045 Publ. Math. Debr. 79, No. 3-4, 309-315 (2011). MSC: 11C20 11A25 15B36 PDF BibTeX XML Cite \textit{A. Bege}, Publ. Math. Debr. 79, No. 3--4, 309--315 (2011; Zbl 1249.11045) Full Text: DOI arXiv OpenURL
Tan, Qianrong; Lin, Zongbing; Liu, Liu Divisibility among power GCD matrices and among power LCM matrices on two coprime divisor chains. II. (English) Zbl 1222.11042 Linear Multilinear Algebra 59, No. 9, 969-983 (2011). Reviewer: C. M. da Fonseca (Coimbra) MSC: 11C20 11A05 15B36 PDF BibTeX XML Cite \textit{Q. Tan} et al., Linear Multilinear Algebra 59, No. 9, 969--983 (2011; Zbl 1222.11042) Full Text: DOI OpenURL
Xu, Jiehong; Li, Mao Divisibility among power GCD matrices and among power LCM matrices on three coprime divisor chains. (English) Zbl 1222.11043 Linear Multilinear Algebra 59, No. 7, 773-788 (2011). Reviewer: C. M. da Fonseca (Coimbra) MSC: 11C20 11A05 15B36 PDF BibTeX XML Cite \textit{J. Xu} and \textit{M. Li}, Linear Multilinear Algebra 59, No. 7, 773--788 (2011; Zbl 1222.11043) Full Text: DOI OpenURL
Tan, Qianrong; Liu, Liu Divisibility properties of determinants of power GCD matrices and power LCM matrices on finitely many pairwise relatively prime divisor chains. (Chinese. English summary) Zbl 1488.15014 Sci. Sin., Math. 40, No. 7, 641-647 (2010). MSC: 15A15 15B36 11C20 PDF BibTeX XML Cite \textit{Q. Tan} and \textit{L. Liu}, Sci. Sin., Math. 40, No. 7, 641--647 (2010; Zbl 1488.15014) OpenURL
Tan, Qianrong; Lin, Zongbing Non-divisibility of the determinants of power GCD and power LCM matrices. (Chinese. English summary) Zbl 1240.15054 J. Wuhan Univ., Nat. Sci. Ed. 56, No. 4, 383-386 (2010). MSC: 15B36 15A15 11C20 11A05 PDF BibTeX XML Cite \textit{Q. Tan} and \textit{Z. Lin}, J. Wuhan Univ., Nat. Sci. Ed. 56, No. 4, 383--386 (2010; Zbl 1240.15054) OpenURL
Tan, Qianrong Divisibility among power GCD matrices and among power LCM matrices on two coprime divisor chains. (English) Zbl 1245.11037 Linear Multilinear Algebra 58, No. 5-6, 659-671 (2010). MSC: 11C20 11A05 15B36 PDF BibTeX XML Cite \textit{Q. Tan}, Linear Multilinear Algebra 58, No. 5--6, 659--671 (2010; Zbl 1245.11037) Full Text: DOI OpenURL
Haukkanen, Pentti; Ilmonen, Pauliina; Nalli, Ayse; Sillanpää, Juha On unitary analogs of GCD reciprocal LCM matrices. (English) Zbl 1231.11032 Linear Multilinear Algebra 58, No. 5-6, 599-616 (2010). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11C20 11A25 15B36 PDF BibTeX XML Cite \textit{P. Haukkanen} et al., Linear Multilinear Algebra 58, No. 5--6, 599--616 (2010; Zbl 1231.11032) Full Text: DOI OpenURL
Qian, Guoyou; Lu, Jingya LU-factorizations of symmetric matrices with applications. (English) Zbl 1200.11021 Asian-Eur. J. Math. 3, No. 1, 133-143 (2010). Reviewer: Sheng Chen (Harbin) MSC: 11C20 15B36 PDF BibTeX XML Cite \textit{G. Qian} and \textit{J. Lu}, Asian-Eur. J. Math. 3, No. 1, 133--143 (2010; Zbl 1200.11021) Full Text: DOI OpenURL
Tan, Qianrong; Li, Silin Divisibility properties of determinants of power GCD and determinants of power LCM matrices. (Chinese. English summary) Zbl 1212.15063 J. Huazhong Norm. Univ., Nat. Sci. 43, No. 4, 541-544 (2009). MSC: 15B36 15A15 11C20 PDF BibTeX XML Cite \textit{Q. Tan} and \textit{S. Li}, J. Huazhong Norm. Univ., Nat. Sci. 43, No. 4, 541--544 (2009; Zbl 1212.15063) OpenURL
Zhao, Wei; Zhao, Jianrong A characterization for the gcd-closed set \(S\) with \(|S|=5\) such that \((S^e)\) divides \([S^e]\). (English) Zbl 1212.15064 Southeast Asian Bull. Math. 33, No. 5, 1023-1028 (2009). MSC: 15B36 11C20 PDF BibTeX XML Cite \textit{W. Zhao} and \textit{J. Zhao}, Southeast Asian Bull. Math. 33, No. 5, 1023--1028 (2009; Zbl 1212.15064) OpenURL
Tan, Qianrong Notes on the non-divisibility of determinants of power GCD and power LCM matrices. (English) Zbl 1212.11044 Southeast Asian Bull. Math. 33, No. 3, 563-567 (2009). MSC: 11C20 15B36 PDF BibTeX XML Cite \textit{Q. Tan}, Southeast Asian Bull. Math. 33, No. 3, 563--567 (2009; Zbl 1212.11044) OpenURL
El-Kassar, A. N.; Habre, S. S.; Awad, Y. A. Greatest common divisor and least common multiple matrices on factor closed sets in a principal ideal domain. (English) Zbl 1239.11030 J. Math. Stat. 5, No. 4, 342-347 (2009). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 11A25 PDF BibTeX XML Cite \textit{A. N. El-Kassar} et al., J. Math. Stat. 5, No. 4, 342--347 (2009; Zbl 1239.11030) Full Text: Link OpenURL
Krishnamoorthy, S.; Gunasekaran, K.; Muthugobal, B. K. N. On 4 - inverses of GM matrix. (English) Zbl 1179.15006 Ultra Sci. Phys. Sci. 21, No. 2 (M), 465-468 (2009). MSC: 15A09 15A15 PDF BibTeX XML Cite \textit{S. Krishnamoorthy} et al., Ultra Sci. Phys. Sci. 21, No. 2 (M), 465--468 (2009; Zbl 1179.15006) OpenURL
Krishnamoorthy, S.; Gunasekaran, K.; Muthugobal, B. K. N. On 3 - inverses of GM matrix. (English) Zbl 1179.15005 Ultra Sci. Phys. Sci. 21, No. 2 (M), 451-454 (2009). MSC: 15A09 15A15 PDF BibTeX XML Cite \textit{S. Krishnamoorthy} et al., Ultra Sci. Phys. Sci. 21, No. 2 (M), 451--454 (2009; Zbl 1179.15005) OpenURL
Feng, Weiduan; Hong, Shaofang; Zhao, Jianrong Divisibility properties of power LCM matrices by power GCD matrices on gcd-closed sets. (English) Zbl 1263.11042 Discrete Math. 309, No. 9, 2627-2639 (2009). MSC: 11C20 15B36 PDF BibTeX XML Cite \textit{W. Feng} et al., Discrete Math. 309, No. 9, 2627--2639 (2009; Zbl 1263.11042) Full Text: DOI OpenURL
Wu, Rongjun; He, Cong Notes on Hong’s conjectures of nonsingularity of power LCM matrices. (Chinese. English summary) Zbl 1199.11070 J. Sichuan Univ., Nat. Sci. Ed. 45, No. 4, 719-722 (2008). MSC: 11C20 15B36 PDF BibTeX XML Cite \textit{R. Wu} and \textit{C. He}, J. Sichuan Univ., Nat. Sci. Ed. 45, No. 4, 719--722 (2008; Zbl 1199.11070) OpenURL
Zhao, Jianrong A characterization of the gcd-closed set \(S\) with \(|S|=4\) such that \( (S^e)\) divides \([S^e]\). (English) Zbl 1199.11072 J. Sichuan Univ., Nat. Sci. Ed. 45, No. 3, 485-487 (2008). MSC: 11C20 11A25 15B36 PDF BibTeX XML Cite \textit{J. Zhao}, J. Sichuan Univ., Nat. Sci. Ed. 45, No. 3, 485--487 (2008; Zbl 1199.11072) OpenURL
Feng, Weiduan; Tan, Qianrong; Zheng, Lijuan A note on a conjecture of Hong of divisibility of LCM matrices. (English) Zbl 1199.11069 J. Sichuan Univ., Nat. Sci. Ed. 45, No. 1, 41-42 (2008). MSC: 11C20 11A25 PDF BibTeX XML Cite \textit{W. Feng} et al., J. Sichuan Univ., Nat. Sci. Ed. 45, No. 1, 41--42 (2008; Zbl 1199.11069) OpenURL
Korkee, Ismo; Haukkanen, Pentti On the divisibility of meet and join matrices. (English) Zbl 1157.11009 Linear Algebra Appl. 429, No. 8-9, 1929-1943 (2008). Reviewer: C. M. da Fonseca (Coimbra) MSC: 11C20 15B36 06B99 PDF BibTeX XML Cite \textit{I. Korkee} and \textit{P. Haukkanen}, Linear Algebra Appl. 429, No. 8--9, 1929--1943 (2008; Zbl 1157.11009) Full Text: DOI OpenURL
Ilmonen, Pauliina; Haukkanen, Pentti; Merikoski, Jorma K. On eigenvalues of meet and join matrices associated with incidence functions. (English) Zbl 1143.15016 Linear Algebra Appl. 429, No. 4, 859-874 (2008). MSC: 15A42 06A12 15B36 PDF BibTeX XML Cite \textit{P. Ilmonen} et al., Linear Algebra Appl. 429, No. 4, 859--874 (2008; Zbl 1143.15016) Full Text: DOI OpenURL
Korkee, Ismo; Haukkanen, Pentti On a general form of join matrices associated with incidence functions. (English) Zbl 1146.11018 Aequationes Math. 75, No. 1-2, 29-42 (2008). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 06A12 PDF BibTeX XML Cite \textit{I. Korkee} and \textit{P. Haukkanen}, Aequationes Math. 75, No. 1--2, 29--42 (2008; Zbl 1146.11018) Full Text: DOI OpenURL
Hong, Shaofang; Zhao, Jianrong; Yin, Youzhan Divisibility properties of Smith matrices. (English) Zbl 1146.11017 Acta Arith. 132, No. 2, 161-175 (2008). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 PDF BibTeX XML Cite \textit{S. Hong} et al., Acta Arith. 132, No. 2, 161--175 (2008; Zbl 1146.11017) Full Text: DOI OpenURL
Hong, Shaofang; Enoch Lee, K. S. Asymptotic behavior of eigenvalues of reciprocal power LCM matrices. (English) Zbl 1186.11011 Glasg. Math. J. 50, No. 1, 163-174 (2008). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15A18 15B36 PDF BibTeX XML Cite \textit{S. Hong} and \textit{K. S. Enoch Lee}, Glasg. Math. J. 50, No. 1, 163--174 (2008; Zbl 1186.11011) Full Text: DOI OpenURL
Hong, Shaofang Divisibility properties of power GCD matrices and power LCM matrices. (English) Zbl 1137.11017 Linear Algebra Appl. 428, No. 4, 1001-1008 (2008). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 PDF BibTeX XML Cite \textit{S. Hong}, Linear Algebra Appl. 428, No. 4, 1001--1008 (2008; Zbl 1137.11017) Full Text: DOI OpenURL
Li, Mao Remarks on power LCM matrices on GCD-closed sets. (Chinese. English summary) Zbl 1164.11315 J. Sichuan Univ., Nat. Sci. Ed. 44, No. 4, 779-781 (2007). MSC: 11C20 15B36 PDF BibTeX XML Cite \textit{M. Li}, J. Sichuan Univ., Nat. Sci. Ed. 44, No. 4, 779--781 (2007; Zbl 1164.11315) OpenURL
Haukkanen, Pentti On the maximum row and column sum norm of GCD and related matrices. (English) Zbl 1228.11154 JIPAM, J. Inequal. Pure Appl. Math. 8, No. 4, Paper No. 97, 7 p. (2007). MSC: 11N56 11C20 15B36 11A25 PDF BibTeX XML Cite \textit{P. Haukkanen}, JIPAM, J. Inequal. Pure Appl. Math. 8, No. 4, Paper No. 97, 7 p. (2007; Zbl 1228.11154) Full Text: EuDML EMIS OpenURL
Li, Mao Notes on Hong’s conjectures of real number power LCM matrices. (English) Zbl 1230.11036 J. Algebra 315, No. 2, 654-664 (2007). Reviewer: Pentti Haukkanen (MR2351885) MSC: 11C20 15B36 11A25 PDF BibTeX XML Cite \textit{M. Li}, J. Algebra 315, No. 2, 654--664 (2007; Zbl 1230.11036) Full Text: DOI OpenURL
Hong, Shaofang; Shum, K. P.; Sun, Qi On nonsingular power LCM matrices. (English) Zbl 1140.11319 Algebra Colloq. 13, No. 4, 689-704 (2006). MSC: 11C20 11A25 PDF BibTeX XML Cite \textit{S. Hong} et al., Algebra Colloq. 13, No. 4, 689--704 (2006; Zbl 1140.11319) Full Text: DOI OpenURL
Yin, Youzhan; Hong, Shaofang; Zhou, Xingwang Notes on primitive singular numbers. (English) Zbl 1140.11015 J. Sichuan Univ., Nat. Sci. Ed. 43, No. 2, 281-284 (2006). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 11A25 PDF BibTeX XML Cite \textit{Y. Yin} et al., J. Sichuan Univ., Nat. Sci. Ed. 43, No. 2, 281--284 (2006; Zbl 1140.11015) OpenURL
Hong, Shaofang Nonsingularity of matrices associated with classes of arithmetical functions on lcm-closed sets. (English) Zbl 1131.11018 Linear Algebra Appl. 416, No. 1, 124-134 (2006). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 11A25 PDF BibTeX XML Cite \textit{S. Hong}, Linear Algebra Appl. 416, No. 1, 124--134 (2006; Zbl 1131.11018) Full Text: DOI OpenURL
Hong, Shaofang Nonsingularity of least common multiple matrices on gcd-closed sets. (English) Zbl 1080.11022 J. Number Theory 113, No. 1, 1-9 (2005). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15A15 15B36 PDF BibTeX XML Cite \textit{S. Hong}, J. Number Theory 113, No. 1, 1--9 (2005; Zbl 1080.11022) Full Text: DOI OpenURL
Korkee, Ismo On a combination of meet and join matrices. (English) Zbl 1083.15013 JP J. Algebra Number Theory Appl. 5, No. 1, 75-88 (2005). Reviewer: Grosio Stanilov (Sofia) MSC: 15A15 11C20 15A09 15B36 06A12 11A05 PDF BibTeX XML Cite \textit{I. Korkee}, JP J. Algebra Number Theory Appl. 5, No. 1, 75--88 (2005; Zbl 1083.15013) OpenURL
Nallı, Ayşe; Taşcı, Dursun The GCD-reciprocal LCM matrices on GCD-closed sets. (English) Zbl 1115.11017 Math. Comput. Appl. 9, No. 1, 101-106 (2004). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 PDF BibTeX XML Cite \textit{A. Nallı} and \textit{D. Taşcı}, Math. Comput. Appl. 9, No. 1, 101--106 (2004; Zbl 1115.11017) Full Text: DOI OpenURL
Cao, Wei Remarks on a conjecture of Hong of power LCM matrices. (English) Zbl 1088.11018 J. Sichuan Univ., Nat. Sci. Ed. 41, No. 6, 1124-1131 (2004). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 PDF BibTeX XML Cite \textit{W. Cao}, J. Sichuan Univ., Nat. Sci. Ed. 41, No. 6, 1124--1131 (2004; Zbl 1088.11018) OpenURL
Nalli, Ayse; Tasci, Dursun On the GCD-reciprocal LCM matrices. (English) Zbl 1082.15504 Ultra Sci. Phys. Sci. 16, No. 1(M), 77-82 (2004). MSC: 15B57 15B36 11A05 15A15 PDF BibTeX XML Cite \textit{A. Nalli} and \textit{D. Tasci}, Ultra Sci. Phys. Sci. 16, No. 1(M), 77--82 (2004; Zbl 1082.15504) OpenURL
Hong, Shaofang Notes on power LCM matrices. (English) Zbl 1047.11022 Acta Arith. 111, No. 2, 165-177 (2004). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 11A25 15B36 PDF BibTeX XML Cite \textit{S. Hong}, Acta Arith. 111, No. 2, 165--177 (2004; Zbl 1047.11022) Full Text: DOI Link OpenURL
Ovall, Jeffrey S. An analysis of GCD and LCM matrices via the \(LDL^T\)-factorization. (English) Zbl 1042.15009 Electron. J. Linear Algebra 11, 51-58 (2004). Reviewer: Rodica Covaci (Cluj-Napoca) MSC: 15A23 06A07 06A12 11A05 15A18 15B36 15A15 PDF BibTeX XML Cite \textit{J. S. Ovall}, Electron. J. Linear Algebra 11, 51--58 (2004; Zbl 1042.15009) Full Text: DOI EuDML EMIS OpenURL
Öçal, Ahmet Ali On the Hadamard products of GCD and LCM matrices. (English) Zbl 1080.11024 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 52, No. 2, 1-12 (2003). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 PDF BibTeX XML Cite \textit{A. A. Öçal}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 52, No. 2, 1--12 (2003; Zbl 1080.11024) OpenURL
Hong, Shaofang Factorization of matrices associated with classes of arithmetical functions. (English) Zbl 1047.11023 Colloq. Math. 98, No. 1, 113-123 (2003). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 11A25 15B36 PDF BibTeX XML Cite \textit{S. Hong}, Colloq. Math. 98, No. 1, 113--123 (2003; Zbl 1047.11023) Full Text: DOI OpenURL
Solak, Süleyman; Türkmen, Ramazan; Bozkurt, Durmuş On GCD, LCM and Hilbert matrices and their applications. (English) Zbl 1072.15026 Appl. Math. Comput. 146, No. 2-3, 595-600 (2003). Reviewer: Witold Wiȩsław (Wrocław) MSC: 15A45 15B57 15A60 11A05 11C20 PDF BibTeX XML Cite \textit{S. Solak} et al., Appl. Math. Comput. 146, No. 2--3, 595--600 (2003; Zbl 1072.15026) Full Text: DOI OpenURL
Nalli, Ayse; Tasçi, Dursun On the GCUD-reciprocal LCUM matrices. (English) Zbl 1146.11308 JP J. Algebra Number Theory Appl. 3, No. 2, 245-257 (2003). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 11A05 15B36 11A25 PDF BibTeX XML Cite \textit{A. Nalli} and \textit{D. Tasçi}, JP J. Algebra Number Theory Appl. 3, No. 2, 245--257 (2003; Zbl 1146.11308) OpenURL
Korkee, Ismo; Haukkanen, Pentti On meet and join matrices associated with incidence functions. (English) Zbl 1036.06005 Linear Algebra Appl. 372, 127-153 (2003). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 06B99 11A05 11A25 11C20 15A15 PDF BibTeX XML Cite \textit{I. Korkee} and \textit{P. Haukkanen}, Linear Algebra Appl. 372, 127--153 (2003; Zbl 1036.06005) Full Text: DOI OpenURL
Wei, Lijuan; Wang, Qinli; Wang, Xiaomei Signed GCD and LCM matrices. (Chinese. English summary) Zbl 1041.15014 J. Changsha Univ. Electr. Power, Nat. Sci. 17, No. 4, 16-19 (2002). MSC: 15B36 11A05 15A15 15A09 PDF BibTeX XML Cite \textit{L. Wei} et al., J. Changsha Univ. Electr. Power, Nat. Sci. 17, No. 4, 16--19 (2002; Zbl 1041.15014) OpenURL
Altinişik, E.; Taşci, D. On a generalization of the reciprocal LCM matrix. (English) Zbl 1033.15014 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 51, No. 2, 37-46 (2002). MSC: 15B36 15A15 11A05 11C20 PDF BibTeX XML Cite \textit{E. Altinişik} and \textit{D. Taşci}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 51, No. 2, 37--46 (2002; Zbl 1033.15014) OpenURL
Taşci, Dursun; Altinişik, Ercan On the almost Hilbert-Smith matrices. (English) Zbl 1008.11007 Fibonacci Q. 40, No. 4, 339-344 (2002). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 11A25 PDF BibTeX XML Cite \textit{D. Taşci} and \textit{E. Altinişik}, Fibonacci Q. 40, No. 4, 339--344 (2002; Zbl 1008.11007) OpenURL
Hong, Shaofang On the Bourque-Ligh conjecture of least common multiple matrices. (English) Zbl 1015.11007 J. Algebra 218, No. 1, 216-228 (1999). MSC: 11C20 15B36 15A15 PDF BibTeX XML Cite \textit{S. Hong}, J. Algebra 218, No. 1, 216--228 (1999; Zbl 1015.11007) Full Text: DOI OpenURL
Hong, Shaofang On LCM matrices on GCD-closed sets. (English) Zbl 0936.15011 Southeast Asian Bull. Math. 22, No. 4, 381-384 (1998). Reviewer: Nikolai I.Osetinski (Moskva) MSC: 15B36 11A05 PDF BibTeX XML Cite \textit{S. Hong}, Southeast Asian Bull. Math. 22, No. 4, 381--384 (1998; Zbl 0936.15011) OpenURL
Wang, Boying On the singularity of LCM matrices. (English) Zbl 0926.11013 SIAM J. Matrix Anal. Appl. 19, No. 4, 1040-1044 (1998). Reviewer: P.Haukkanen (Tampere) MSC: 11C20 15A09 15B36 PDF BibTeX XML Cite \textit{B. Wang}, SIAM J. Matrix Anal. Appl. 19, No. 4, 1040--1044 (1998; Zbl 0926.11013) Full Text: DOI OpenURL
Hou, Yoaping On the properties of GCD and LCM matrices. (Chinese. English summary) Zbl 0898.15022 J. Beijing Norm. Univ., Nat. Sci. 33, No. 3, 328-332 (1997). MSC: 15B57 11A05 15A23 PDF BibTeX XML Cite \textit{Y. Hou}, J. Beijing Norm. Univ., Nat. Sci. 33, No. 3, 328--332 (1997; Zbl 0898.15022) OpenURL
Wang, Boying Some properties of LCM matrices. (English) Zbl 0926.11012 J. Beijing Norm. Univ., Nat. Sci. 33, No. 1, 49-53 (1997). Reviewer: P.Haukkanen (Tampere) MSC: 11C20 15B36 PDF BibTeX XML Cite \textit{B. Wang}, J. Beijing Norm. Univ., Nat. Sci. 33, No. 1, 49--53 (1997; Zbl 0926.11012) OpenURL
Haukkanen, Pentti; Sillanpää, Juha Some analogues of Smith’s determinant. (English) Zbl 0869.15005 Linear Multilinear Algebra 41, No. 3, 233-244 (1996). Reviewer: A.Kovačec (Coimbra) MSC: 15A15 15B36 15A22 PDF BibTeX XML Cite \textit{P. Haukkanen} and \textit{J. Sillanpää}, Linear Multilinear Algebra 41, No. 3, 233--244 (1996; Zbl 0869.15005) Full Text: DOI OpenURL
Shen, Zechun GCD and LCM power matrices. (English) Zbl 0861.11017 Fibonacci Q. 34, No. 4, 290-297 (1996). Reviewer: P.Haukkanen (Tampere) MSC: 11C20 15B36 11A05 15A15 15A09 15A23 PDF BibTeX XML Cite \textit{Z. Shen}, Fibonacci Q. 34, No. 4, 290--297 (1996; Zbl 0861.11017) OpenURL
Pan, Victor Y. Parallel computation of polynomial GCD and some related parallel computations over abstract fields. (English) Zbl 0874.12010 Theor. Comput. Sci. 162, No. 2, 173-223 (1996). MSC: 12Y05 68W15 65Y05 65F05 PDF BibTeX XML Cite \textit{V. Y. Pan}, Theor. Comput. Sci. 162, No. 2, 173--223 (1996; Zbl 0874.12010) Full Text: DOI OpenURL
Hong, Shaofang LCM matrix on an \(r\)-fold GCD-closed set. (English) Zbl 0869.11021 J. Sichuan Univ., Nat. Sci. Ed. 33, No. 6, 650-657 (1996). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 11A05 11A25 15B36 PDF BibTeX XML Cite \textit{S. Hong}, J. Sichuan Univ., Nat. Sci. Ed. 33, No. 6, 650--657 (1996; Zbl 0869.11021) OpenURL
Bini, Dario; Pan, Victor Parallel computations with Toeplitz-like and Hankel-like matrices. (English) Zbl 0920.65011 Bronstein, Manuel (ed.), ISSAC ’93. Proceedings of the 1993 international symposium on Symbolic and algebraic computation, Kiev, Ukraine, July 6–8, 1993. Baltimore, MD: ACM Press. 193-200 (1993). MSC: 65F05 65Y05 65F30 65D20 65H05 PDF BibTeX XML Cite \textit{D. Bini} and \textit{V. Pan}, in: ISSAC '93. Proceedings of the 1993 international symposium on Symbolic and algebraic computation, Kiev, Ukraine, July 6--8, 1993. Baltimore, MD: ACM Press. 193--200 (1993; Zbl 0920.65011) OpenURL
Beslin, Scott J. Reciprocal GCD matrices and LCM matrices. (English) Zbl 0738.11026 Fibonacci Q. 29, No. 3, 271-274 (1991). Reviewer: S.Lal (Chandigarh) MSC: 11C20 11A05 PDF BibTeX XML Cite \textit{S. J. Beslin}, Fibonacci Q. 29, No. 3, 271--274 (1991; Zbl 0738.11026) OpenURL