Anil Kumar, Chudamani Pranesachar A combinatorial identity for the \(p\)-binomial coefficient based on abelian groups. (English) Zbl 07314337 Mosc. J. Comb. Number Theory 10, No. 1, 13-24 (2021). MSC: 05A15 20K01 05E05 PDF BibTeX XML Cite \textit{C. P. Anil Kumar}, Mosc. J. Comb. Number Theory 10, No. 1, 13--24 (2021; Zbl 07314337) Full Text: DOI
Cho, Gook Hwa; Lee, Hyang-Sook; Lim, Seongan; Kim, Yoonjeong Storage efficient algorithm for Hermite normal form using LLL. (English) Zbl 07312098 Linear Algebra Appl. 613, 183-200 (2021). MSC: 65F PDF BibTeX XML Cite \textit{G. H. Cho} et al., Linear Algebra Appl. 613, 183--200 (2021; Zbl 07312098) Full Text: DOI
Pagaria, Roberto; Paolini, Giovanni Representations of torsion-free arithmetic matroids. (English) Zbl 07307284 Eur. J. Comb. 93, Article ID 103272, 18 p. (2021). MSC: 05B35 52B40 PDF BibTeX XML Cite \textit{R. Pagaria} and \textit{G. Paolini}, Eur. J. Comb. 93, Article ID 103272, 18 p. (2021; Zbl 07307284) Full Text: DOI
B. Langlois, Marie-Andrée Algorithms for computing bases for 3-variable homogeneous integer-valued polynomials. (English) Zbl 07209597 J. Algebra 559, 712-725 (2020). MSC: 11C08 13F20 PDF BibTeX XML Cite \textit{M.-A. B. Langlois}, J. Algebra 559, 712--725 (2020; Zbl 07209597) Full Text: DOI
Diaz-Toca, Gema M.; Lombardi, Henri Generalized matrix calculation over Prüfer domains. (Calcul matriciel généralisé sur les domaines de Prüfer.) (French. English summary) Zbl 1436.13019 Bull. Sci. Math. 159, Article ID 102808, 33 p. (2020). Reviewer: François Couchot (Caen) MSC: 13C10 13F05 13P99 PDF BibTeX XML Cite \textit{G. M. Diaz-Toca} and \textit{H. Lombardi}, Bull. Sci. Math. 159, Article ID 102808, 33 p. (2020; Zbl 1436.13019) Full Text: DOI
Jing, Rui-Juan; Yuan, Chun-Ming; Gao, Xiao-Shan A polynomial-time algorithm to compute generalized Hermite normal forms of matrices over \(\mathbb{Z} [x]\). (English) Zbl 1411.68210 Theor. Comput. Sci. 755, 89-109 (2019). MSC: 68W30 13P10 15A21 PDF BibTeX XML Cite \textit{R.-J. Jing} et al., Theor. Comput. Sci. 755, 89--109 (2019; Zbl 1411.68210) Full Text: DOI
Zhang, Yang; Liu, Renzhang; Lin, Dongdai Improved key generation algorithm for Gentry’s fully homomorphic encryption scheme. (English) Zbl 06889983 Kim, Howon (ed.) et al., Information security and cryptology – ICISC 2017. 20th international conference, Seoul, South Korea, November 29 – December 1, 2017. Revised selected papers. Cham: Springer (ISBN 978-3-319-78555-4/pbk; 978-3-319-78556-1/ebook). Lecture Notes in Computer Science 10779, 93-111 (2018). MSC: 68P25 94A60 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Lect. Notes Comput. Sci. 10779, 93--111 (2018; Zbl 06889983) Full Text: DOI
Bagheri, Amir; Rahmati-Asghar, Rahim On non-standard Hilbert functions. (English) Zbl 1429.13005 Algebra Colloq. 25, No. 1, 71-80 (2018). MSC: 13A30 13A02 13D40 PDF BibTeX XML Cite \textit{A. Bagheri} and \textit{R. Rahmati-Asghar}, Algebra Colloq. 25, No. 1, 71--80 (2018; Zbl 1429.13005) Full Text: DOI
Gao, Xiao-Shan; Huang, Zhang; Yuan, Chun-Ming Binomial difference ideals. (English) Zbl 1404.13032 J. Symb. Comput. 80, Part 3, 665-706 (2017). MSC: 13P10 12H10 PDF BibTeX XML Cite \textit{X.-S. Gao} et al., J. Symb. Comput. 80, Part 3, 665--706 (2017; Zbl 1404.13032) Full Text: DOI arXiv
Biasse, Jean-François; Fieker, Claus; Hofmann, Tommy On the computation of the HNF of a module over the ring of integers of a number field. (English) Zbl 1403.11084 J. Symb. Comput. 80, Part 3, 581-615 (2017). MSC: 11Y40 68W30 PDF BibTeX XML Cite \textit{J.-F. Biasse} et al., J. Symb. Comput. 80, Part 3, 581--615 (2017; Zbl 1403.11084) Full Text: DOI
Matsui, Hajime Multiplicative structure and Hecke rings of generator matrices for codes over quotient rings of Euclidean domains. (English) Zbl 1401.94216 Mathematics 5, No. 4, Paper No. 82, 27 p. (2017). MSC: 94B05 94B15 PDF BibTeX XML Cite \textit{H. Matsui}, Mathematics 5, No. 4, Paper No. 82, 27 p. (2017; Zbl 1401.94216) Full Text: DOI
Labahn, George; Neiger, Vincent; Zhou, Wei Fast, deterministic computation of the Hermite normal form and determinant of a polynomial matrix. (English) Zbl 1372.65134 J. Complexity 42, 44-71 (2017). MSC: 65F40 65F30 15A21 15A54 PDF BibTeX XML Cite \textit{G. Labahn} et al., J. Complexity 42, 44--71 (2017; Zbl 1372.65134) Full Text: DOI
Rossi, Michele; Terracini, Lea A \(\mathbb {Q}\)-factorial complete toric variety is a quotient of a poly weighted space. (English) Zbl 1454.14124 Ann. Mat. Pura Appl. (4) 196, No. 1, 325-347 (2017); erratum ibid. 197, No. 3, 989-998 (2018). MSC: 14M25 52B20 PDF BibTeX XML Cite \textit{M. Rossi} and \textit{L. Terracini}, Ann. Mat. Pura Appl. (4) 196, No. 1, 325--347 (2017; Zbl 1454.14124) Full Text: DOI arXiv
Jing, Rui-Juan; Yuan, Chun-Ming A modular algorithm to compute the generalized Hermite normal form for \(\mathbb{Z}[x]\)-lattices. (English) Zbl 1357.13028 J. Symb. Comput. 81, 97-118 (2017). Reviewer: Amir Hashemi (Isfahan) MSC: 13P10 68W30 PDF BibTeX XML Cite \textit{R.-J. Jing} and \textit{C.-M. Yuan}, J. Symb. Comput. 81, 97--118 (2017; Zbl 1357.13028) Full Text: DOI
Hu, Gengran; Pan, Yanbin; Liu, Renzhang; Chen, Yuyun On random nonsingular Hermite normal form. (English) Zbl 1409.11075 J. Number Theory 164, 66-86 (2016). MSC: 11M50 11Y16 15A21 PDF BibTeX XML Cite \textit{G. Hu} et al., J. Number Theory 164, 66--86 (2016; Zbl 1409.11075) Full Text: DOI
Joe, Stephen The Hermite normal form for certain rank-1 circulant and skew-circulant lattice rules. (English) Zbl 1332.15089 Linear Algebra Appl. 496, 438-451 (2016). MSC: 15B36 15B05 65D30 PDF BibTeX XML Cite \textit{S. Joe}, Linear Algebra Appl. 496, 438--451 (2016; Zbl 1332.15089) Full Text: DOI
Rossi, Michele; Terracini, Lea \(\mathbb{Z}\)-linear Gale duality and poly weighted spaces (PWS). (English) Zbl 1332.14065 Linear Algebra Appl. 495, 256-288 (2016). Reviewer: Anargyros Katsabekis (Lamia) MSC: 14M25 06D50 PDF BibTeX XML Cite \textit{M. Rossi} and \textit{L. Terracini}, Linear Algebra Appl. 495, 256--288 (2016; Zbl 1332.14065) Full Text: DOI arXiv
Torezzan, Cristiano; Strapasson, João E.; Costa, Sueli I. R.; Siqueira, Rogerio M. Optimum commutative group codes. (English) Zbl 1331.94085 Des. Codes Cryptography 74, No. 2, 379-394 (2015). Reviewer: Kauko Lindström (Turku) MSC: 94B60 15B36 52C07 PDF BibTeX XML Cite \textit{C. Torezzan} et al., Des. Codes Cryptography 74, No. 2, 379--394 (2015; Zbl 1331.94085) Full Text: DOI arXiv
Day, Matthew B. Full-featured peak reduction in right-angled Artin groups. (English) Zbl 1308.20038 Algebr. Geom. Topol. 14, No. 3, 1677-1743 (2014). MSC: 20F36 20F28 20F10 20F05 PDF BibTeX XML Cite \textit{M. B. Day}, Algebr. Geom. Topol. 14, No. 3, 1677--1743 (2014; Zbl 1308.20038) Full Text: DOI Link arXiv
Bremner, Murray R.; Hu, Jiaxiong Lie invariants in two and three variables. (English) Zbl 1362.17008 Algebra Colloq. 21, No. 1, 95-116 (2014). MSC: 17B01 17B10 PDF BibTeX XML Cite \textit{M. R. Bremner} and \textit{J. Hu}, Algebra Colloq. 21, No. 1, 95--116 (2014; Zbl 1362.17008) Full Text: DOI arXiv
Pauderis, Colton; Storjohann, Arne Computing the invariant structure of integer matrices: fast algorithms into practice. (English) Zbl 1360.68950 Kauers, Manuel (ed.), Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26–29, 2013. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2059-7). 307-314 (2013). MSC: 68W30 15A15 15B36 15B57 PDF BibTeX XML Cite \textit{C. Pauderis} and \textit{A. Storjohann}, in: Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26--29, 2013. New York, NY: Association for Computing Machinery (ACM). 307--314 (2013; Zbl 1360.68950) Full Text: DOI
Khorramizadeh, Mostafa Solving rank one perturbed linear diophantine systems using the Hermite normal form. (English) Zbl 1355.11020 J. Math. Ext. 7, No. 4, 11-28 (2013). MSC: 11D04 11Y05 11Y50 65K05 PDF BibTeX XML Cite \textit{M. Khorramizadeh}, J. Math. Ext. 7, No. 4, 11--28 (2013; Zbl 1355.11020)
Lichtblau, Daniel Applications of strong Gröbner bases over Euclidean domains. (English) Zbl 1285.13037 Int. J. Algebra 7, No. 5-8, 369-390 (2013). MSC: 13P10 11Y16 11Y40 PDF BibTeX XML Cite \textit{D. Lichtblau}, Int. J. Algebra 7, No. 5--8, 369--390 (2013; Zbl 1285.13037) Full Text: DOI Link
Biasse, Jean-François; Fieker, Claus A polynomial time algorithm for computing the HNF of a module over the integers of a number field. (English) Zbl 1323.11099 van der Hoeven, Joris (ed.) et al., Proceedings of the 37th international symposium on symbolic and algebraic computation, ISSAC 2012, Grenoble, France, July 22–25, 2012. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-1269-1). 75-82 (2012). MSC: 11Y40 11Y16 68W30 PDF BibTeX XML Cite \textit{J.-F. Biasse} and \textit{C. Fieker}, in: Proceedings of the 37th international symposium on symbolic and algebraic computation, ISSAC 2012, Grenoble, France, July 22--25, 2012. New York, NY: Association for Computing Machinery (ACM). 75--82 (2012; Zbl 1323.11099) Full Text: DOI arXiv
Hibi, Takayuki; Higashitani, Akihiro; Li, Nan Hermite normal forms and \(\delta \)-vectors. (English) Zbl 1242.05012 J. Comb. Theory, Ser. A 119, No. 6, 1158-1173 (2012). MSC: 05A15 52B99 52A37 PDF BibTeX XML Cite \textit{T. Hibi} et al., J. Comb. Theory, Ser. A 119, No. 6, 1158--1173 (2012; Zbl 1242.05012) Full Text: DOI arXiv
Shchedryk, Volodymyr On the one-side equivalence of matrices with given canonical diagonal form. (English) Zbl 1260.15017 Algebra Discrete Math. 12, No. 2, 102-111 (2011). MSC: 15A21 PDF BibTeX XML Cite \textit{V. Shchedryk}, Algebra Discrete Math. 12, No. 2, 102--111 (2011; Zbl 1260.15017)
Bremner, Murray R. Polynomial identities for ternary intermolecular recombination. (English) Zbl 1256.17001 Discrete Contin. Dyn. Syst., Ser. S 4, No. 6, 1387-1399 (2011). Reviewer: Juana Sánchez-Ortega (Málaga) MSC: 17A40 17A42 17C05 68W30 92D20 PDF BibTeX XML Cite \textit{M. R. Bremner}, Discrete Contin. Dyn. Syst., Ser. S 4, No. 6, 1387--1399 (2011; Zbl 1256.17001) Full Text: DOI arXiv
Alwen, Joël; Peikert, Chris Generating shorter bases for hard random lattices. (English) Zbl 1217.94092 Theory Comput. Syst. 48, No. 3, 535-553 (2011). MSC: 94A60 11H06 68Q25 PDF BibTeX XML Cite \textit{J. Alwen} and \textit{C. Peikert}, Theory Comput. Syst. 48, No. 3, 535--553 (2011; Zbl 1217.94092) Full Text: DOI
Caboara, Massimo; Caruso, Fabrizio; Traverso, Carlo Lattice polly cracker cryptosystems. (English) Zbl 1213.94088 J. Symb. Comput. 46, No. 5, 534-549 (2011). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 94A60 13P10 11H06 PDF BibTeX XML Cite \textit{M. Caboara} et al., J. Symb. Comput. 46, No. 5, 534--549 (2011; Zbl 1213.94088) Full Text: DOI
Biasse, Jean-François Improvements in the computation of ideal class groups of imaginary quadratic number fields. (English) Zbl 1257.11108 Adv. Math. Commun. 4, No. 2, 141-154 (2010). Reviewer: Michael J. Jacobson jun. (Calgary) MSC: 11Y40 11R29 11R11 PDF BibTeX XML Cite \textit{J.-F. Biasse}, Adv. Math. Commun. 4, No. 2, 141--154 (2010; Zbl 1257.11108) Full Text: DOI arXiv
Wang, Xiaoping; Zhang, Weizhong; Zhou, Laishui; Zhang, Liyan Constructing \(G^{1}\) continuous curve on a free-form surface with normal projection. (English) Zbl 1202.65024 Int. J. Comput. Math. 87, No. 10, 2291-2302 (2010). MSC: 65D17 PDF BibTeX XML Cite \textit{X. Wang} et al., Int. J. Comput. Math. 87, No. 10, 2291--2302 (2010; Zbl 1202.65024) Full Text: DOI
Fieker, Claus; Stehlé, Damien Short bases of lattices over number fields. (English) Zbl 1260.11084 Hanrot, Guillaume (ed.) et al., Algorithmic number theory. 9th international symposium, ANTS-IX, Nancy, France, July 19–23, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-14517-9/pbk). Lecture Notes in Computer Science 6197, 157-173 (2010). MSC: 11Y16 11R04 PDF BibTeX XML Cite \textit{C. Fieker} and \textit{D. Stehlé}, Lect. Notes Comput. Sci. 6197, 157--173 (2010; Zbl 1260.11084) Full Text: DOI
Pernet, Clément; Stein, William Fast computation of Hermite normal forms of random integer matrices. (English) Zbl 1206.15027 J. Number Theory 130, No. 7, 1675-1683 (2010). MSC: 15B52 68W30 PDF BibTeX XML Cite \textit{C. Pernet} and \textit{W. Stein}, J. Number Theory 130, No. 7, 1675--1683 (2010; Zbl 1206.15027) Full Text: DOI
Wilson, Gregory L.; Morgan, Christopher L. An application of Fourier transforms on finite abelian groups to an enumeration arising from the Josephus problem. (English) Zbl 1211.05015 J. Number Theory 130, No. 4, 815-827 (2010). MSC: 05A15 11D45 11D79 43A25 PDF BibTeX XML Cite \textit{G. L. Wilson} and \textit{C. L. Morgan}, J. Number Theory 130, No. 4, 815--827 (2010; Zbl 1211.05015) Full Text: DOI
Alwen, Joël; Peikert, Chris Generating shorter bases for hard random lattices. (English) Zbl 1236.94049 Albers, Susanne (ed.) et al., STACS 2009. 26th international symposium on theoretical aspects of computer science, Freiburg, Germany, February 26–28, 2009. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-939897-09-5). LIPIcs – Leibniz International Proceedings in Informatics 3, 75-86, electronic only (2009). MSC: 94A60 94A62 PDF BibTeX XML Cite \textit{J. Alwen} and \textit{C. Peikert}, LIPIcs -- Leibniz Int. Proc. Inform. 3, 75--86 (2009; Zbl 1236.94049) Full Text: DOI Link
Bremner, Murray R.; Peresi, Luiz A. Nonhomogeneous subalgebras of Lie and special Jordan superalgebras. (English) Zbl 1196.17025 J. Algebra 322, No. 6, 2000-2026 (2009). Reviewer: Candido Martín González (Málaga) MSC: 17C70 17B01 17-08 PDF BibTeX XML Cite \textit{M. R. Bremner} and \textit{L. A. Peresi}, J. Algebra 322, No. 6, 2000--2026 (2009; Zbl 1196.17025) Full Text: DOI
Ghorbel, Amira; Hamrouni, Hatem Discrete cocompact subgroups of the five-dimensional connected and simply connected nilpotent Lie groups. (English) Zbl 1162.22011 SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 020, 17 p. (2009). MSC: 22E40 PDF BibTeX XML Cite \textit{A. Ghorbel} and \textit{H. Hamrouni}, SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 020, 17 p. (2009; Zbl 1162.22011) Full Text: DOI EuDML arXiv
Bremner, Murray R.; Peresi, Luiz A. An application of lattice basis reduction to polynomial identities for algebraic structures. (English) Zbl 1173.17001 Linear Algebra Appl. 430, No. 2-3, 642-659 (2009). Reviewer: Angel F. Tenorio (Seville) MSC: 17-08 17A40 68W30 PDF BibTeX XML Cite \textit{M. R. Bremner} and \textit{L. A. Peresi}, Linear Algebra Appl. 430, No. 2--3, 642--659 (2009; Zbl 1173.17001) Full Text: DOI
Skrondal, Anders; Rabe-Hesketh, Sophia Generalized latent variable modeling. Multilevel, longitudinal, and structural equation models. (English) Zbl 1097.62001 Interdisciplinary Statistics. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-000-7/hbk; 978-0-203-48943-7/ebook). xi, 508 p. (2004). Reviewer: Yuehua Wu (Toronto) MSC: 62-02 62J12 65C60 62Pxx PDF BibTeX XML Cite \textit{A. Skrondal} and \textit{S. Rabe-Hesketh}, Generalized latent variable modeling. Multilevel, longitudinal, and structural equation models. Boca Raton, FL: Chapman \& Hall/CRC (2004; Zbl 1097.62001) Full Text: Link
Baragaña, I.; Fernández, V.; Zaballa, I. Hermite indices and equivalence relations. (English) Zbl 1037.93018 Linear Algebra Appl. 379, 201-211 (2004). Reviewer: Didier Henrion (Toulouse) MSC: 93B17 93B10 93C80 PDF BibTeX XML Cite \textit{I. Baragaña} et al., Linear Algebra Appl. 379, 201--211 (2004; Zbl 1037.93018) Full Text: DOI
Vollmer, Ulrich A note on the Hermite basis computation of large integer matrices. (English) Zbl 1072.68701 Sendra, J. Rafael (ed.), ISSAC 2003. Proceedings of the 2003 international symposium on symbolic and algebraic computation, Philadelphia, PA, USA, August 3–6, 2003. New York, NY: ACM Press (ISBN 1-58113-641-2/pbk). 255-257 (2003). MSC: 68W30 11Y16 11Y40 PDF BibTeX XML Cite \textit{U. Vollmer}, in: Proceedings of the 2003 international symposium on symbolic and algebraic computation, ISSAC 2003, Philadelphia, PA, USA, August 3--6, 2003. New York, NY: ACM Press. 255--257 (2003; Zbl 1072.68701)
Surowski, David B.; Wang, Yuhua Uniqueness of row echelon form. (English) Zbl 1033.15007 Missouri J. Math. Sci. 15, No. 1, 4 p. (2003). Reviewer: Rodica Covaci (Cluj-Napoca) MSC: 15A21 PDF BibTeX XML Cite \textit{D. B. Surowski} and \textit{Y. Wang}, Missouri J. Math. Sci. 15, No. 1, 4 p. (2003; Zbl 1033.15007)
Varbanets, Pavel On the number of prime factors of integer matrices. (English) Zbl 1061.11051 Theory Stoch. Process. 8(24), No. 3-4, 379-382 (2002). Reviewer: R. E. Maiboroda (Kyïv) MSC: 11N60 11N80 PDF BibTeX XML Cite \textit{P. Varbanets}, Theory Stoch. Process. 8(24), No. 3--4, 379--382 (2002; Zbl 1061.11051)
Letchford, Adam N. Totally tight Chvatal-Gomory cuts. (English) Zbl 1027.90061 Oper. Res. Lett. 30, No. 2, 71-73 (2002). Reviewer: Alexander Rappoport (Moskva) MSC: 90C10 PDF BibTeX XML Cite \textit{A. N. Letchford}, Oper. Res. Lett. 30, No. 2, 71--73 (2002; Zbl 1027.90061) Full Text: DOI
Esmaeili, Hamid; Mahdavi-Amiri, Nezam; Spedicato, Emilio A class of ABS algorithms for Diophantine linear systems. (English) Zbl 1025.15003 Numer. Math. 90, No. 1, 101-115 (2001). Reviewer: M.M.Konstantinov (Sofia) MSC: 15A06 11D04 15B36 65F30 PDF BibTeX XML Cite \textit{H. Esmaeili} et al., Numer. Math. 90, No. 1, 101--115 (2001; Zbl 1025.15003) Full Text: DOI
van Leest, Arno J.; Bastiaans, Martin J. Gabor’s signal expansion and the Gabor transform on a non-separable time-frequency lattice. (English) Zbl 0981.65158 J. Franklin Inst. 337, No. 4, 291-301 (2000). MSC: 65T50 94A12 PDF BibTeX XML Cite \textit{A. J. van Leest} and \textit{M. J. Bastiaans}, J. Franklin Inst. 337, No. 4, 291--301 (2000; Zbl 0981.65158) Full Text: DOI
Storjohann, Arne Computing Hermite and Smith normal forms of triangular integer matrices. (English) Zbl 0936.65056 Linear Algebra Appl. 282, No. 1-3, 25-45 (1998). Reviewer: F.Szidarovszky (Tucson) MSC: 65F30 15A21 PDF BibTeX XML Cite \textit{A. Storjohann}, Linear Algebra Appl. 282, No. 1--3, 25--45 (1998; Zbl 0936.65056) Full Text: DOI
Havas, George; Majewski, Bohdan S.; Matthews, Keith R. Extended GCD and Hermite normal form algorithms via lattice basis reduction. (English) Zbl 0922.11112 Exp. Math. 7, No. 2, 125-136 (1998). Reviewer: Alex Bijlsma (Utrecht) MSC: 11Y16 11A05 11C20 PDF BibTeX XML Cite \textit{G. Havas} et al., Exp. Math. 7, No. 2, 125--136 (1998; Zbl 0922.11112) Full Text: DOI EMIS EuDML
Wagner, Clemens Computation of normal forms of matrices over Euclidean rings. (Normalformberechnung von Matrizen über euklidischen Ringen.) (German) Zbl 0905.65053 Aachen: Shaker Verlag. 126 S. (1998). MSC: 65F30 65Y05 65F05 15A21 15B33 PDF BibTeX XML Cite \textit{C. Wagner}, Normalformberechnung von Matrizen über euklidischen Ringen. Aachen: Shaker Verlag (1998; Zbl 0905.65053)
Fang, Xin Gui; Havas, George On the worst-case complexity of integer Gaussian elimination. (English) Zbl 0916.65038 Küchlin, Wolfgang W. (ed.), Proceedings of the 1997 international symposium on symbolic and algebraic computation, ISSAC ’97, Maui, HI, USA, July 21–23, 1997. New York, NY: ACM Press. 28-31 (1997). MSC: 65F30 65Y20 65F05 15A21 15B36 PDF BibTeX XML Cite \textit{X. G. Fang} and \textit{G. Havas}, in: Proceedings of the 1997 international symposium on symbolic and algebraic computation, ISSAC '97, Maui, HI, USA, July 21--23, 1997. New York, NY: ACM Press. 28--31 (1997; Zbl 0916.65038)
Maublanc, J.; Quilliot, A. Solution of integer or mixed linear programming using Hermite normal form. (Résolution de programmes linéaires entiers ou mixtes à l’aide de la forme normale de Hermite.) (French) Zbl 0888.90124 RAIRO, Rech. Opér. 31, No. 4, 399-427 (1997). MSC: 90C10 90C11 90C05 PDF BibTeX XML Cite \textit{J. Maublanc} and \textit{A. Quilliot}, RAIRO, Rech. Opér. 31, No. 4, 399--427 (1997; Zbl 0888.90124) Full Text: DOI EuDML
Maublanc, J.; Pastre, J.; Quilliot, A. Regularization of a polyhedron by changing variables and integer linear programming. (Régularisation par changement de variables d’un polyèdre et programmation linéaire entière.) (French) Zbl 0886.90105 Rev. Mat. Apl. 18, No. 1, 9-43 (1997). MSC: 90C10 90C27 90C05 52B12 PDF BibTeX XML Cite \textit{J. Maublanc} et al., Rev. Mat. Apl. 18, No. 1, 9--43 (1997; Zbl 0886.90105)
Wyels, Cynthia J. Permutation equivalence and the Hermite invariant. (English) Zbl 0872.15007 Linear Algebra Appl. 256, 125-140 (1997). Reviewer: Y.Kuo (Knoxville) MSC: 15A21 65F30 PDF BibTeX XML Cite \textit{C. J. Wyels}, Linear Algebra Appl. 256, 125--140 (1997; Zbl 0872.15007) Full Text: DOI
Storjohann, Arne; Labahn, George Asymptotically fast computation of Hermite normal forms of integer matrices. (English) Zbl 0915.65033 Lakshman, Y. N. (ed.), Proceedings of the 1996 international symposium on symbolic and algebraic computation, ISSAC ’96, Zürich, Switzerland, July 24–26, 1996. New York, NY: ACM Press. 259-266 (1996). MSC: 65F30 15B36 15A21 65Y20 PDF BibTeX XML Cite \textit{A. Storjohann} and \textit{G. Labahn}, in: Proceedings of the 1996 international symposium on symbolic and algebraic computation, ISSAC '96, Zürich, Switzerland, July 24--26, 1996. New York, NY: ACM Press. 259--266 (1996; Zbl 0915.65033)
Villard, G. Computing Popov and Hermite forms of polynomial matrices. (English) Zbl 0914.65045 Lakshman, Y. N. (ed.), Proceedings of the 1996 international symposium on symbolic and algebraic computation, ISSAC ’96, Zürich, Switzerland, July 24–26, 1996. New York, NY: ACM Press. 250-258 (1996). MSC: 65F30 15A54 15A21 PDF BibTeX XML Cite \textit{G. Villard}, in: Proceedings of the 1996 international symposium on symbolic and algebraic computation, ISSAC '96, Zürich, Switzerland, July 24--26, 1996. New York, NY: ACM Press. 250--258 (1996; Zbl 0914.65045)
Maublanc, J.; Quilliot, A. About solving linear integer programs through Hermite normal form decomposition. (English) Zbl 0878.90078 Doležal, Jaroslav et al., System modelling and optimization. Proceedings of the 17th IFIP TC7 conference. Prague, Czech Republic, July 10–14, 1995. London: Chapman & Hall. 489-496 (1996). MSC: 90C10 90C05 PDF BibTeX XML Cite \textit{J. Maublanc} and \textit{A. Quilliot}, in: System modelling and optimization. Proceedings of the 17th IFIP TC7 conference. Prague, Czech Republic, July 10--14, 1995. London: Chapman \& Hall. 489--496 (1996; Zbl 0878.90078)
Cohen, Henri Hermite and Smith normal form algorithms over Dedekind domains. (English) Zbl 0853.11100 Math. Comput. 65, No. 216, 1681-1699 (1996). MSC: 11Y40 13P99 11R99 13F05 11R04 PDF BibTeX XML Cite \textit{H. Cohen}, Math. Comput. 65, No. 216, 1681--1699 (1996; Zbl 0853.11100) Full Text: DOI
Bhowmik, Gautami Evaluation of divisor functions of matrices. (English) Zbl 0848.15015 Acta Arith. 74, No. 2, 155-159 (1996). Reviewer: A.Krieg (Aachen) MSC: 15B36 11C20 05A15 PDF BibTeX XML Cite \textit{G. Bhowmik}, Acta Arith. 74, No. 2, 155--159 (1996; Zbl 0848.15015) Full Text: DOI EuDML
Havas, George; Majewski, Bohdan S. Hermite normal form computation for integer matrices. (English) Zbl 0836.65060 Congr. Numerantium 105, 87-96 (1994). MSC: 65F15 15B36 15A21 PDF BibTeX XML Cite \textit{G. Havas} and \textit{B. S. Majewski}, Congr. Numerantium 105, 87--96 (1994; Zbl 0836.65060)
Xue, Jingling Automating non-unimodular loop transformations for massive parallelism. (English) Zbl 0805.68025 Parallel Comput. 20, No. 5, 711-728 (1994). MSC: 68N20 68Q10 65Y05 PDF BibTeX XML Cite \textit{J. Xue}, Parallel Comput. 20, No. 5, 711--728 (1994; Zbl 0805.68025) Full Text: DOI
Poskitt, D. S.; Salau, M. O. Stable spectral factorization with applications to the estimation of time series models. (English) Zbl 0784.62082 Commun. Stat., Theory Methods 22, No. 2, 347-367 (1993). MSC: 62M15 65C99 PDF BibTeX XML Cite \textit{D. S. Poskitt} and \textit{M. O. Salau}, Commun. Stat., Theory Methods 22, No. 2, 347--367 (1993; Zbl 0784.62082) Full Text: DOI
Gilbert, William J. Bricklaying and the Hermite normal form. (English) Zbl 0777.05041 Am. Math. Mon. 100, No. 3, 242-245 (1993). Reviewer: C.Schulz (Wiesbaden) MSC: 05B45 52C22 PDF BibTeX XML Cite \textit{W. J. Gilbert}, Am. Math. Mon. 100, No. 3, 242--245 (1993; Zbl 0777.05041) Full Text: DOI
Prokip, V. M. On multiplicativity of canonical diagonal forms of matrices. (English. Russian original) Zbl 0852.15006 Russ. Math. 36, No. 7, 58-60 (1992); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1992, No. 7(362), 60-62 (1992). Reviewer: P.Malcolmson (MR 95c:15024) MSC: 15A21 13F10 PDF BibTeX XML Cite \textit{V. M. Prokip}, Russ. Math. 36, No. 7, 1 (1992; Zbl 0852.15006); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1992, No. 7(362), 60--62 (1992)
Evertse, Jan-Hendrik Reduced bases of lattices over number fields. (English) Zbl 0765.11044 Indag. Math., New Ser. 3, No. 2, 153-168 (1992). Reviewer: R.Schoof (Povo) MSC: 11R27 11R56 15B33 PDF BibTeX XML Cite \textit{J.-H. Evertse}, Indag. Math., New Ser. 3, No. 2, 153--168 (1992; Zbl 0765.11044) Full Text: DOI
Lévai, G. A class of exactly solvable potentials related to the Jacobi polynomials. (English) Zbl 0728.34092 J. Phys. A, Math. Gen. 24, No. 1, 131-146 (1991). Reviewer: H.Exton (Dunrossness) MSC: 34L40 34A05 33C45 81Q05 PDF BibTeX XML Cite \textit{G. Lévai}, J. Phys. A, Math. Gen. 24, No. 1, 131--146 (1991; Zbl 0728.34092) Full Text: DOI
Hafner, James L.; McCurley, Kevin S. Asymptotically fast triangularization of matrices over rings. (English) Zbl 0738.68050 SIAM J. Comput. 20, No. 6, 1068-1083 (1991). MSC: 68W30 11Y16 15A23 68Q25 PDF BibTeX XML Cite \textit{J. L. Hafner} and \textit{K. S. McCurley}, SIAM J. Comput. 20, No. 6, 1068--1083 (1991; Zbl 0738.68050) Full Text: DOI
Kaltofen, Erich; Krishnamoorthy, M. S. Parallel algorithms for matrix normal forms. (English) Zbl 0727.65031 Linear Algebra Appl. 136, 189-208 (1990). Reviewer: T.C.Mohan (Madras) MSC: 65F15 65Y05 15A21 PDF BibTeX XML Cite \textit{E. Kaltofen} and \textit{M. S. Krishnamoorthy}, Linear Algebra Appl. 136, 189--208 (1990; Zbl 0727.65031) Full Text: DOI
Iliopoulos, Costas S. Worst-case complexity bounds on algorithms for computing the canonical structure of finite Abelian groups and the Hermite and Smith normal forms of an integer matrix. (English) Zbl 0689.68059 SIAM J. Comput. 18, No. 4, 658-669 (1989). Reviewer: M.Chytil MSC: 68Q25 15A21 20K01 20K99 PDF BibTeX XML Cite \textit{C. S. Iliopoulos}, SIAM J. Comput. 18, No. 4, 658--669 (1989; Zbl 0689.68059) Full Text: DOI
Kaltofen, Erich; Krishnamoorthy, M. S.; Saunders, B. David Fast parallel computation of Hermite and Smith forms of polynomial matrices. (English) Zbl 0655.65069 SIAM J. Algebraic Discrete Methods 8, 683-690 (1987). MSC: 65F30 65Y05 15A21 15A54 68Q25 PDF BibTeX XML Cite \textit{E. Kaltofen} et al., SIAM J. Algebraic Discrete Methods 8, 683--690 (1987; Zbl 0655.65069) Full Text: DOI
Domich, P. D.; Kannan, R.; Trotter, L. E. jun. Hermite normal form computation using modulo determinant arithmetic. (English) Zbl 0624.65036 Math. Oper. Res. 12, 50-59 (1987). Reviewer: G.Jumarie MSC: 65F30 15A21 15B36 PDF BibTeX XML Cite \textit{P. D. Domich} et al., Math. Oper. Res. 12, 50--59 (1987; Zbl 0624.65036) Full Text: DOI
Kannan, R. Solving systems of linear equations over polynomials. (English) Zbl 0603.65024 Theor. Comput. Sci. 39, 69-88 (1985). Reviewer: I.Imam MSC: 65F30 15A54 PDF BibTeX XML Cite \textit{R. Kannan}, Theor. Comput. Sci. 39, 69--88 (1985; Zbl 0603.65024) Full Text: DOI
Alagar, Vangalur S.; Roy, Asim Kumar A comparative study of algorithms for computing the Smith normal form of an integer matrix. (English) Zbl 0563.65026 Int. J. Syst. Sci. 15, 727-744 (1984). Reviewer: V.Mehrmann MSC: 65F30 15A21 68Q25 PDF BibTeX XML Cite \textit{V. S. Alagar} and \textit{A. K. Roy}, Int. J. Syst. Sci. 15, 727--744 (1984; Zbl 0563.65026) Full Text: DOI
Chou, Tsu-Wu J.; Collins, George E. Algorithms for the solution of systems of linear Diophantine equations. (English) Zbl 0498.65022 SIAM J. Comput. 11, 687-708 (1982). MSC: 65F30 11D04 65F05 15B36 15A21 PDF BibTeX XML Cite \textit{T.-W. J. Chou} and \textit{G. E. Collins}, SIAM J. Comput. 11, 687--708 (1982; Zbl 0498.65022) Full Text: DOI
Sinha, N. K. Some systems theory applications of Egervary’s algorithm for transformation of a matrix to the Hermite normal form. (English) Zbl 0521.65048 Bull. Appl. Math. 58-65, 119-134 (1980). MSC: 65K10 15A21 93B05 93B07 93B10 PDF BibTeX XML Cite \textit{N. K. Sinha}, Bull. Appl. Math. 58--65, 119--134 (1980; Zbl 0521.65048)
Varga, Gy. Nonzero eigenvalues of singular matrices, Jordan normal form of matrices. (English) Zbl 0443.65018 Numerical methods, Keszthely 1977, Colloq. Math. Soc. Janos Bolyai 22, 619-624 (1980). MSC: 65F15 15A18 15A21 PDF BibTeX XML
Narang, Asha Hermite normal form for matrices over Dedekind domains. (English) Zbl 0526.15007 J. Indian Math. Soc., New Ser. 43, 19-29 (1979). MSC: 15A21 15B33 13F05 PDF BibTeX XML Cite \textit{A. Narang}, J. Indian Math. Soc., New Ser. 43, 19--29 (1979; Zbl 0526.15007)
Kannan, Ravindran; Bachem, Achim Polynomial algorithms for computing the Smith and Hermite normal forms of an integer matrix. (English) Zbl 0446.65015 SIAM J. Comput. 8, 499-507 (1979). MSC: 65F30 15A21 PDF BibTeX XML Cite \textit{R. Kannan} and \textit{A. Bachem}, SIAM J. Comput. 8, 499--507 (1979; Zbl 0446.65015) Full Text: DOI
Hickin, J.; Sinha, N. K. An efficient algorithm for the transformation of linear multivariable systems to canonical forms. (English) Zbl 0413.93023 Probl. Control Inf. Theory 8, 193-211 (1979). MSC: 93B10 93B17 93B05 93B07 93B40 15A21 PDF BibTeX XML Cite \textit{J. Hickin} and \textit{N. K. Sinha}, Probl. Control Inf. Theory 8, 193--211 (1979; Zbl 0413.93023)
Krishnamurthy, E. V. Exact inversion of a rational polynomial matrix using finite field transforms. (English) Zbl 0435.65033 SIAM J. Appl. Math. 35, 453-464 (1978). MSC: 65F30 65F05 15B33 15A21 PDF BibTeX XML Cite \textit{E. V. Krishnamurthy}, SIAM J. Appl. Math. 35, 453--464 (1978; Zbl 0435.65033) Full Text: DOI