Zhu, Guangyan; Li, Mao On the divisibility among power LCM matrices on \(\gcd\)-closed sets. (English) Zbl 1510.11087 Bull. Aust. Math. Soc. 107, No. 1, 31-39 (2023). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 11A05 15B36 PDFBibTeX XMLCite \textit{G. Zhu} and \textit{M. Li}, Bull. Aust. Math. Soc. 107, No. 1, 31--39 (2023; Zbl 1510.11087) Full Text: DOI
Zhu, Guangyan On a certain determinant for a U.F.D. (English) Zbl 1504.11052 Colloq. Math. 171, No. 1, 49-59 (2023). MSC: 11C20 11A05 15B36 PDFBibTeX XMLCite \textit{G. Zhu}, Colloq. Math. 171, No. 1, 49--59 (2023; Zbl 1504.11052) Full Text: DOI
Feng, Yulu; Qiu, Min; Zhu, Guangyan; Hong, Shaofang Divisibility among power matrices associated with classes of arithmetic functions. (English) Zbl 1497.11066 Discrete Math. 345, No. 10, Article ID 112993, 11 p. (2022). Reviewer: Jorma K. Merikoski (Tampere) MSC: 11C20 15B36 11A25 PDFBibTeX XMLCite \textit{Y. Feng} et al., Discrete Math. 345, No. 10, Article ID 112993, 11 p. (2022; Zbl 1497.11066) Full Text: DOI
Hong, Siao; Lin, Zongbing New results on the value of a certain arithmetical determinant. (English) Zbl 1438.11074 Publ. Math. Debr. 93, No. 1-2, 171-187 (2018). MSC: 11C20 11A05 11A25 15B36 PDFBibTeX XMLCite \textit{S. Hong} and \textit{Z. Lin}, Publ. Math. Debr. 93, No. 1--2, 171--187 (2018; Zbl 1438.11074) Full Text: DOI
Lin, Zongbing; Hong, Siao More on a certain arithmetical determinant. (English) Zbl 1432.11030 Bull. Aust. Math. Soc. 97, No. 1, 15-25 (2018). MSC: 11C20 11A05 15B36 PDFBibTeX XMLCite \textit{Z. Lin} and \textit{S. Hong}, Bull. Aust. Math. Soc. 97, No. 1, 15--25 (2018; Zbl 1432.11030) Full Text: DOI
Raza, Zahid; Waheed, Seemal Abdul GCED reciprocal LCEM matrices. (English) Zbl 1354.15024 Notes Number Theory Discrete Math. 21, No. 1, 79-85 (2015). MSC: 15B36 11A05 11C20 15A09 15A15 PDFBibTeX XMLCite \textit{Z. Raza} and \textit{S. A. Waheed}, Notes Number Theory Discrete Math. 21, No. 1, 79--85 (2015; Zbl 1354.15024) Full Text: Link
Raza, Zahid; Waheed, Seemal Abdul GCED and reciprocal GCED matrices. (English) Zbl 1366.15026 Hacet. J. Math. Stat. 44, No. 3, 633-640 (2015). MSC: 15B36 11C20 15A09 15A15 PDFBibTeX XMLCite \textit{Z. Raza} and \textit{S. A. Waheed}, Hacet. J. Math. Stat. 44, No. 3, 633--640 (2015; Zbl 1366.15026) Full Text: DOI Link
Hong, Shaofang; Li, Mao; Wang, Bangyan Hyperdeterminants associated with multiple even functions. (English) Zbl 1368.11024 Ramanujan J. 34, No. 2, 265-281 (2014). MSC: 11C20 11A05 15A15 15B36 PDFBibTeX XMLCite \textit{S. Hong} et al., Ramanujan J. 34, No. 2, 265--281 (2014; Zbl 1368.11024) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Zhao}, Linear Multilinear Algebra 62, No. 6, 735--748 (2014; Zbl 1350.11042) Full Text: DOI
Li, Mao; Tan, Qianrong Divisibility of matrices associated with multiplicative functions. (English) Zbl 1261.11031 Discrete Math. 311, No. 20, 2276-2282 (2011). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 15B36 11A25 PDFBibTeX XMLCite \textit{M. Li} and \textit{Q. Tan}, Discrete Math. 311, No. 20, 2276--2282 (2011; Zbl 1261.11031) Full Text: DOI
Tan, Qianrong; Lin, Zongbing Divisibility properties of determinants of power matrices on GCD-closed sets. (Chinese. English summary) Zbl 1240.15014 J. Sichuan Univ., Nat. Sci. Ed. 47, No. 3, 431-435 (2010). MSC: 15A15 15B36 11C20 13A05 11A05 PDFBibTeX XMLCite \textit{Q. Tan} and \textit{Z. Lin}, J. Sichuan Univ., Nat. Sci. Ed. 47, No. 3, 431--435 (2010; Zbl 1240.15014) Full Text: DOI
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 PDFBibTeX XMLCite \textit{G. Qian} and \textit{J. Lu}, Asian-Eur. J. Math. 3, No. 1, 133--143 (2010; Zbl 1200.11021) Full Text: DOI
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 PDFBibTeX XMLCite \textit{W. Zhao} and \textit{J. Zhao}, Southeast Asian Bull. Math. 33, No. 5, 1023--1028 (2009; Zbl 1212.15064)
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 PDFBibTeX XMLCite \textit{W. Feng} et al., Discrete Math. 309, No. 9, 2627--2639 (2009; Zbl 1263.11042) Full Text: DOI
Hong, Shaofang; Zhou, Xingwang; Zhao, Jianrong Power GCD matrices for a UFD. (English) Zbl 1247.11033 Algebra Colloq. 16, No. 1, 71-78 (2009). MSC: 11C20 11A25 13F15 15B36 PDFBibTeX XMLCite \textit{S. Hong} et al., Algebra Colloq. 16, No. 1, 71--78 (2009; Zbl 1247.11033) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{R. Wu} and \textit{C. He}, J. Sichuan Univ., Nat. Sci. Ed. 45, No. 4, 719--722 (2008; Zbl 1199.11070)
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 PDFBibTeX XMLCite \textit{J. Zhao}, J. Sichuan Univ., Nat. Sci. Ed. 45, No. 3, 485--487 (2008; Zbl 1199.11072)
Laszkiewicz, Beata; Ziȩtak, Krystyna Approximation by matrices with restricted spectra. (English) Zbl 1165.65022 Linear Algebra Appl. 428, No. 4, 1031-1040 (2008). Reviewer: Liu Xinguo (Qingdao) MSC: 65F30 15A60 PDFBibTeX XMLCite \textit{B. Laszkiewicz} and \textit{K. Ziȩtak}, Linear Algebra Appl. 428, No. 4, 1031--1040 (2008; Zbl 1165.65022) Full Text: DOI
Zhao, Jianrong; Hong, Shaofang; Liao, Qunying; Shum, K. P. On the divisibility of power LCM matrices by power GCD matrices. (English) Zbl 1174.11031 Czech. Math. J. 57, No. 1, 115-125 (2007). MSC: 11C20 11A25 15B36 PDFBibTeX XMLCite \textit{J. Zhao} et al., Czech. Math. J. 57, No. 1, 115--125 (2007; Zbl 1174.11031) Full Text: DOI EuDML Link
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 PDFBibTeX XMLCite \textit{M. Li}, J. Sichuan Univ., Nat. Sci. Ed. 44, No. 4, 779--781 (2007; Zbl 1164.11315)
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 PDFBibTeX XMLCite \textit{M. Li}, J. Algebra 315, No. 2, 654--664 (2007; Zbl 1230.11036) Full Text: DOI
Hong, Shaofang; Sun, Qi Determinants of matrices associated with incidence functions on posets. (English) Zbl 1080.11023 Czech. Math. J. 54, No. 2, 431-443 (2004). MSC: 15A15 15B57 06A07 06A12 11C20 PDFBibTeX XMLCite \textit{S. Hong} and \textit{Q. Sun}, Czech. Math. J. 54, No. 2, 431--443 (2004; Zbl 1080.11023) Full Text: DOI EuDML
Xia, Zun-Quan; Guo, Fang-Fang Fuzzy metric spaces. (English) Zbl 1056.54012 J. Appl. Math. Comput. 16, No. 1-2, 371-381 (2004). MSC: 54A40 03E72 90C70 15A03 PDFBibTeX XMLCite \textit{Z.-Q. Xia} and \textit{F.-F. Guo}, J. Appl. Math. Comput. 16, No. 1--2, 371--381 (2004; Zbl 1056.54012) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. Hong}, Colloq. Math. 98, No. 1, 113--123 (2003; Zbl 1047.11023) Full Text: DOI
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 PDFBibTeX XMLCite \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)
Hong, Shaofang On the factorization of LCM matrices on gcd-closed sets. (English) Zbl 0995.15006 Linear Algebra Appl. 345, No. 1-3, 225-233 (2002). Reviewer: Rodica Covaci (Cluj-Napoca) MSC: 15A23 11C20 11A05 15B36 PDFBibTeX XMLCite \textit{S. Hong}, Linear Algebra Appl. 345, No. 1--3, 225--233 (2002; Zbl 0995.15006) Full Text: DOI Link
Hong, Shaofang Gcd-closed sets and determinants of matrices associated with arithmetical functions. (English) Zbl 0987.11014 Acta Arith. 101, No. 4, 321-332 (2002). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 11A25 15B36 PDFBibTeX XMLCite \textit{S. Hong}, Acta Arith. 101, No. 4, 321--332 (2002; Zbl 0987.11014) Full Text: DOI
Hong, Shaofang Lower bounds for determinants of matrices associated with classes of arithmetical functions. (English) Zbl 0932.11018 Linear Multilinear Algebra 45, No. 4, 349-358 (1999). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 11A25 15A15 15B36 15A45 PDFBibTeX XMLCite \textit{S. Hong}, Linear Multilinear Algebra 45, No. 4, 349--358 (1999; Zbl 0932.11018) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. Hong}, Southeast Asian Bull. Math. 22, No. 4, 381--384 (1998; Zbl 0936.15011)
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 PDFBibTeX XMLCite \textit{B. Wang}, SIAM J. Matrix Anal. Appl. 19, No. 4, 1040--1044 (1998; Zbl 0926.11013) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Hou}, J. Beijing Norm. Univ., Nat. Sci. 33, No. 3, 328--332 (1997; Zbl 0898.15022)
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 PDFBibTeX XMLCite \textit{B. Wang}, J. Beijing Norm. Univ., Nat. Sci. 33, No. 1, 49--53 (1997; Zbl 0926.11012)
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 PDFBibTeX XMLCite \textit{S. Hong}, J. Sichuan Univ., Nat. Sci. Ed. 33, No. 6, 650--657 (1996; Zbl 0869.11021)
Hong, Shaofang On Bourque-Ligh conjecture of LCM matrices. (English) Zbl 0869.11022 Adv. Math., Beijing 25, No. 6, 566-568 (1996). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 11A05 15B36 11A25 PDFBibTeX XMLCite \textit{S. Hong}, Adv. Math., Beijing 25, No. 6, 566--568 (1996; Zbl 0869.11022)
Wang, Shiqiang Two-square theorems for infinite matrices on certain fields. (English) Zbl 0820.15005 Chin. Sci. Bull. 38, No. 6, 441-443 (1993). MSC: 15B33 12E12 PDFBibTeX XMLCite \textit{S. Wang}, Chin. Sci. Bull. 38, No. 6, 441--443 (1993; Zbl 0820.15005) Full Text: DOI
Spinas, Otmar Linear topologies on sesquilinear spaces of uncountable dimension. (English) Zbl 0766.03027 Fundam. Math. 139, No. 2, 119-132 (1991). MSC: 03E35 15A63 46A19 PDFBibTeX XMLCite \textit{O. Spinas}, Fundam. Math. 139, No. 2, 119--132 (1991; Zbl 0766.03027) Full Text: DOI EuDML
Romanov, L. I. On surjective bilinear mappings. (Russian) Zbl 0742.15014 Teor. Funkts., Funkts. Anal. Prilozh. 53, 65-68 (1990). Reviewer: G.P.Barker (Kansas City) MSC: 15A69 15A63 15A04 PDFBibTeX XMLCite \textit{L. I. Romanov}, Teor. Funkts. Funkts. Anal. Prilozh. 53, 65--68 (1990; Zbl 0742.15014)
Li, Zhongshan The determinants of GCD matrices. (English) Zbl 0703.15012 Linear Algebra Appl. 134, 137-143 (1990). Reviewer: P.Rudra MSC: 15B36 15A15 PDFBibTeX XMLCite \textit{Z. Li}, Linear Algebra Appl. 134, 137--143 (1990; Zbl 0703.15012) Full Text: DOI
Romanov, L. I. On surjective bilinear mappings. (English. Russian original) Zbl 0784.15017 J. Sov. Math. 58, No. 6, 537-539 (1992); translation from Teor. Funkts., Funkts. Anal. Prilozh. 53, 65-68 (1990). MSC: 15A69 15A63 15A04 PDFBibTeX XMLCite \textit{L. I. Romanov}, J. Sov. Math. 58, No. 6, 65--68 (1990; Zbl 0784.15017); translation from Teor. Funkts., Funkts. Anal. Prilozh. 53, 65--68 (1990) Full Text: DOI
Azoff, Edward A. On finite rank operators and preannihilators. (English) Zbl 0606.47042 Mem. Am. Math. Soc. 357, 85 p. (1986). Reviewer: P.E.T.Jörgensen MSC: 47L05 47L10 46B10 54H05 54B20 15A30 46A32 14A25 PDFBibTeX XMLCite \textit{E. A. Azoff}, On finite rank operators and preannihilators. Providence, RI: American Mathematical Society (AMS) (1986; Zbl 0606.47042) Full Text: DOI
Yamagata, Kunio On representations of BOCS’s. (Japanese) Zbl 0582.16012 Representation theory and its neighbours, Proc. Conf., Tsukuba Univ., Shimoda Marine Res. Cent. 1982, 225-259 (1983). Reviewer: Yueh-er Kuo MSC: 16Gxx 16B50 15A21 18D20 PDFBibTeX XML
Jonckheere, E. A.; Safonov, M. G.; Silverman, L. M. Topology induced by the Hankel norm in the space of transfer matrices. (English) Zbl 0508.93041 Decision and control, Proc. 20th IEEE Conf., incl. Symp. Adaptive processes, San Diego/Calif. 1981, Vol. 1, 118-119 (1981). MSC: 93D15 47A30 93B17 54A10 15A60 PDFBibTeX XML
Szabo, Laszlo; Szendrei, Agnes Slupecki-type criteria for quasilinear functions over a finite dimensional vector space. (English) Zbl 0495.15004 Elektron. Inform.-verarb. Kybernetik 17, 601-611 (1981). MSC: 15A04 08A40 PDFBibTeX XMLCite \textit{L. Szabo} and \textit{A. Szendrei}, Elektron. Informationsverarbeitung Kybernetik 17, 601--611 (1981; Zbl 0495.15004)
Robinson, Stephen M. Normed convex processes. (English) Zbl 0264.47018 Trans. Am. Math. Soc. 174(1972), 127-140 (1973). MSC: 47A50 15A39 54C60 46A30 65K05 52Bxx 90C99 PDFBibTeX XMLCite \textit{S. M. Robinson}, Trans. Am. Math. Soc. 174, 127--140 (1973; Zbl 0264.47018) Full Text: DOI