Sarioglan, Samet; Altinok, Selma Multivariate generalized splines and syzygies on graphs. (English) Zbl 07778394 J. Algebra Appl. 23, No. 2, Article ID 2450039, 14 p. (2024). MSC: 13C10 05C78 15A15 PDFBibTeX XMLCite \textit{S. Sarioglan} and \textit{S. Altinok}, J. Algebra Appl. 23, No. 2, Article ID 2450039, 14 p. (2024; Zbl 07778394) Full Text: DOI arXiv
Amata, Luca; Crupi, Marilena Hilbert functions of graded modules over an exterior algebra: an algorithmic approach. (English) Zbl 1430.13002 Int. Electron. J. Algebra 27, 271-287 (2020). Reviewer: Hero Saremi (Sanandaj) MSC: 13A02 15A75 18G10 68W30 PDFBibTeX XMLCite \textit{L. Amata} and \textit{M. Crupi}, Int. Electron. J. Algebra 27, 271--287 (2020; Zbl 1430.13002) Full Text: Link
Robbiano, Lorenzo Linear algebra, old and new. (English) Zbl 1467.13063 Bradford, Russell (ed.), Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC ’19, Beijing, China, July 15–18, 2019. New York, NY: Association for Computing Machinery (ACM). 4-9 (2019). MSC: 13Pxx 15A99 68W30 PDFBibTeX XMLCite \textit{L. Robbiano}, in: Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC '19, Beijing, China, July 15--18, 2019. New York, NY: Association for Computing Machinery (ACM). 4--9 (2019; Zbl 1467.13063) Full Text: DOI
Culp, J.; Pearson, Kelly; Zhang, Tan On the uniqueness of the \(Z_1\)-eigenvector of transition probability tensors. (English) Zbl 1360.15012 Linear Multilinear Algebra 65, No. 5, 891-896 (2017). MSC: 15A18 15A69 60J10 60J22 65F15 PDFBibTeX XMLCite \textit{J. Culp} et al., Linear Multilinear Algebra 65, No. 5, 891--896 (2017; Zbl 1360.15012) Full Text: DOI
Kreuzer, Martin; Robbiano, Lorenzo Computational linear and commutative algebra. (English) Zbl 1360.13001 Cham: Springer (ISBN 978-3-319-43599-2/hbk; 978-3-319-43601-2/ebook). xviii, 321 p. (2016). Reviewer: Peter Schenzel (Halle) MSC: 13-01 13Pxx 15A99 PDFBibTeX XMLCite \textit{M. Kreuzer} and \textit{L. Robbiano}, Computational linear and commutative algebra. Cham: Springer (2016; Zbl 1360.13001) Full Text: DOI
Jiang, Zhaolin On the minimal polynomials and the inverses of multilevel scaled factor circulant matrices. (English) Zbl 1474.15072 Abstr. Appl. Anal. 2014, Article ID 521643, 10 p. (2014). MSC: 15B05 PDFBibTeX XMLCite \textit{Z. Jiang}, Abstr. Appl. Anal. 2014, Article ID 521643, 10 p. (2014; Zbl 1474.15072) Full Text: DOI
Pearson, Kelly J.; Zhang, Tan On spectral hypergraph theory of the adjacency tensor. (English) Zbl 1298.05206 Graphs Comb. 30, No. 5, 1233-1248 (2014). MSC: 05C50 05C65 15A18 15A69 PDFBibTeX XMLCite \textit{K. J. Pearson} and \textit{T. Zhang}, Graphs Comb. 30, No. 5, 1233--1248 (2014; Zbl 1298.05206) Full Text: DOI arXiv
Torrente, Maria-Laura; Beltrametti, Mauro C. Almost vanishing polynomials and an application to the Hough transform. (English) Zbl 1318.26031 J. Algebra Appl. 13, No. 8, Article ID 1450057, 39 p. (2014). Reviewer: Josef Schicho (Linz) MSC: 26C10 15A60 14Q10 14H50 68T10 PDFBibTeX XMLCite \textit{M.-L. Torrente} and \textit{M. C. Beltrametti}, J. Algebra Appl. 13, No. 8, Article ID 1450057, 39 p. (2014; Zbl 1318.26031) Full Text: DOI arXiv
Domokos, M. Hermitian matrices with a bounded number of eigenvalues. (English) Zbl 1283.15115 Linear Algebra Appl. 439, No. 12, 3964-3979 (2013). MSC: 15B57 15A18 15A72 13A50 13F20 14P05 20G05 22E47 PDFBibTeX XMLCite \textit{M. Domokos}, Linear Algebra Appl. 439, No. 12, 3964--3979 (2013; Zbl 1283.15115) Full Text: DOI arXiv
Chang, K. C.; Pearson, K. J.; Zhang, Tan Some variational principles for \(Z\)-eigenvalues of nonnegative tensors. (English) Zbl 1305.15027 Linear Algebra Appl. 438, No. 11, 4166-4182 (2013). MSC: 15A18 15A69 PDFBibTeX XMLCite \textit{K. C. Chang} et al., Linear Algebra Appl. 438, No. 11, 4166--4182 (2013; Zbl 1305.15027) Full Text: DOI
Domokos, Mátyás; Drensky, Vesselin Defining relation for semi-invariants of three by three matrix triples. (English) Zbl 1260.13010 J. Pure Appl. Algebra 216, No. 10, 2098-2105 (2012). Reviewer: Ivo M. Michailov (Shumen) MSC: 13A50 14L30 15A72 16R30 PDFBibTeX XMLCite \textit{M. Domokos} and \textit{V. Drensky}, J. Pure Appl. Algebra 216, No. 10, 2098--2105 (2012; Zbl 1260.13010) Full Text: DOI arXiv
Robbiano, Lorenzo Linear algebra for everyone. Translated from the Italian by Taíse Santiago O. Mozzato. (Álgebra linear para todos.) (Portuguese) Zbl 1217.15001 Dordrecht: Springer (ISBN 978-88-470-1886-0/pbk; 978-88-470-1887-7/ebook). xvii, 213 p. (2011). MSC: 15-01 00A06 97H60 15A03 15A04 15A06 15A09 15A15 15A18 15A23 15A63 65F05 PDFBibTeX XMLCite \textit{L. Robbiano}, Álgebra linear para todos (Portuguese). Dordrecht: Springer (2011; Zbl 1217.15001) Full Text: DOI
Domokos, Mátyás Discriminant of symmetric matrices as a sum of squares and the orthogonal group. (English) Zbl 1219.15008 Commun. Pure Appl. Math. 64, No. 4, 443-465 (2011). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A15 20C33 15B57 PDFBibTeX XMLCite \textit{M. Domokos}, Commun. Pure Appl. Math. 64, No. 4, 443--465 (2011; Zbl 1219.15008) Full Text: DOI arXiv
Catalisano, Maria Virginia; Geramita, Anthony V.; Gimigliano, Alessandro Secant varieties of \({\mathbb {P}^1}\times \cdots \times {\mathbb {P}^1} (n\)-times) are not defective for \(n \geq 5\). (English) Zbl 1217.14039 J. Algebr. Geom. 20, No. 2, 295-327 (2011). Reviewer: Luca Chiantini (Siena) MSC: 14N05 15A72 PDFBibTeX XMLCite \textit{M. V. Catalisano} et al., J. Algebr. Geom. 20, No. 2, 295--327 (2011; Zbl 1217.14039) Full Text: DOI arXiv
Arrondo, Enrique; Bernardi, Alessandra On the variety parameterizing completely decomposable polynomials. (English) Zbl 1211.14058 J. Pure Appl. Algebra 215, No. 3, 201-220 (2011). Reviewer: Alessandro Gimigliano (Bologna) MSC: 14N15 15A69 PDFBibTeX XMLCite \textit{E. Arrondo} and \textit{A. Bernardi}, J. Pure Appl. Algebra 215, No. 3, 201--220 (2011; Zbl 1211.14058) Full Text: DOI arXiv
Robbiano, Lorenzo [Geramita, Anthony] Linear algebra for everyone. Translated from the Italian by Anthony Geramita. (English) Zbl 1205.15003 Berlin: Springer (ISBN 978-88-470-1838-9/pbk; 978-88-470-1839-6/ebook). xvii, 218 p. (2011). MSC: 15-01 00A06 97H60 15A03 15A04 15A06 15A09 15A15 15A18 15A23 15A63 65F05 PDFBibTeX XMLCite \textit{L. Robbiano}, Linear algebra for everyone. Translated from the Italian by Anthony Geramita. Berlin: Springer (2011; Zbl 1205.15003) Full Text: DOI
Bernardi, Alessandra; Gimigliano, Alessandro; Idà, Monica Computing symmetric rank for symmetric tensors. (English) Zbl 1211.14057 J. Symb. Comput. 46, No. 1, 34-53 (2011). Reviewer: Maria Chiara Brambilla (Ancona) MSC: 14N05 15A69 14Q99 PDFBibTeX XMLCite \textit{A. Bernardi} et al., J. Symb. Comput. 46, No. 1, 34--53 (2011; Zbl 1211.14057) Full Text: DOI arXiv
Bates, Daniel J.; Hauenstein, Jonathan D.; Peterson, Chris; Sommese, Andrew J. Numerical decomposition of the rank-deficiency set of a matrix of multivariate polynomials. (English) Zbl 1191.14071 Robbiano, Lorenzo (ed.) et al., Approximate commutative algebra. Berlin: Springer (ISBN 978-3-211-99313-2/pbk; 978-3-211-99314-9/e-book). Texts and Monographs in Symbolic Computation, 55-77 (2009). MSC: 14Q15 14M15 13Pxx 15A54 65H10 PDFBibTeX XMLCite \textit{D. J. Bates} et al., in: Approximate commutative algebra. Berlin: Springer. 55--77 (2009; Zbl 1191.14071) Full Text: DOI
Abłamowicz, Rafał Computations with Clifford and Grassmann algebras. (English) Zbl 1182.65068 Adv. Appl. Clifford Algebr. 19, No. 3-4, 499-545 (2009). MSC: 65F30 15A66 15A75 65Y15 PDFBibTeX XMLCite \textit{R. Abłamowicz}, Adv. Appl. Clifford Algebr. 19, No. 3--4, 499--545 (2009; Zbl 1182.65068) Full Text: DOI
Abo, Hirotachi; Ottaviani, Giorgio; Peterson, Chris Induction for secant varieties of Segre varieties. (English) Zbl 1170.14036 Trans. Am. Math. Soc. 361, No. 2, 767-792 (2009). Reviewer: Alessandro Gimigliano (Bologna) MSC: 14M12 15A69 15A72 14Q99 14M99 PDFBibTeX XMLCite \textit{H. Abo} et al., Trans. Am. Math. Soc. 361, No. 2, 767--792 (2009; Zbl 1170.14036) Full Text: DOI arXiv
Jiang, Zhaolin; Xu, Zongben; Gao, Shuping Algorithms for finding the minimal polynomials and inverses of permutation factor circulant matrices. (English) Zbl 1126.65033 Chin. J. Eng. Math. 23, No. 6, 1088-1094 (2006). MSC: 65F30 15A21 65F15 65F05 13P10 PDFBibTeX XMLCite \textit{Z. Jiang} et al., Chin. J. Eng. Math. 23, No. 6, 1088--1094 (2006; Zbl 1126.65033)
Develin, Mike; Santos, Francisco; Sturmfels, Bernd On the rank of a tropical matrix. (English) Zbl 1095.15001 Goodman, Jacob Eli (ed.) et al., Combinatorial and computational geometry. Cambridge: Cambridge University Press (ISBN 0-521-84862-8/hbk). Mathematical Sciences Research Institute Publications 52, 213-242 (2005). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15A03 15B57 15A45 90C27 05B35 15B33 PDFBibTeX XMLCite \textit{M. Develin} et al., Math. Sci. Res. Inst. Publ. 52, 213--242 (2005; Zbl 1095.15001) Full Text: arXiv Link
Jiang, Zhaolin; Liu, Sanyang An algorithm for finding the minimal polynomial of a scaled circulant factor matrix. (English) Zbl 1053.65031 Math. Appl. 17, No. 1, 61-66 (2004). Reviewer: Prem Narain (Faridabad) MSC: 65F30 65F05 13P10 15A21 65F15 PDFBibTeX XMLCite \textit{Z. Jiang} and \textit{S. Liu}, Math. Appl. 17, No. 1, 61--66 (2004; Zbl 1053.65031)
Catalisano, M. V.; Geramita, A. V.; Gimigliano, A. Erratum to: “Ranks of tensors, secant varieties of Segre varieties and fat points”. (English) Zbl 1073.14550 Linear Algebra Appl. 367, 347-348 (2003). MSC: 14N05 13D40 15A69 PDFBibTeX XMLCite \textit{M. V. Catalisano} et al., Linear Algebra Appl. 367, 347--348 (2003; Zbl 1073.14550) Full Text: DOI
Van Tuyl, Adam The border of the Hilbert function of a set of points in \(\mathbb P^{n_1}\times \cdots \times \mathbb P^{n_k}\). (English) Zbl 1019.13008 J. Pure Appl. Algebra 176, No. 2-3, 223-247 (2002). Reviewer: Martin Kreuzer (Regensburg) MSC: 13D40 14M05 15B36 PDFBibTeX XMLCite \textit{A. Van Tuyl}, J. Pure Appl. Algebra 176, No. 2--3, 223--247 (2002; Zbl 1019.13008) Full Text: DOI arXiv
Catalisano, M. V.; Geramita, A. V.; Gimigliano, A. Ranks of tensors, secant varieties of Segre varieties and fat points. (English) Zbl 1059.14061 Linear Algebra Appl. 355, No. 1-3, 263-285 (2002). Reviewer: Caterina Cumino (Torino) MSC: 14N05 15A69 13D40 PDFBibTeX XMLCite \textit{M. V. Catalisano} et al., Linear Algebra Appl. 355, No. 1--3, 263--285 (2002; Zbl 1059.14061) Full Text: DOI
Wang, Mingsheng; Kwong, C. P. Computing GCLF using syzygy algorithm. (English) Zbl 1014.65032 Cohen, Arjeh M. (ed.) et al., Mathematical software. Proceedings of the 1st international congress, Beijing, China, August 17-19, 2002. Singapore: World Scientific. 93-103 (2002). MSC: 65F30 15A54 13D02 13P10 PDFBibTeX XMLCite \textit{M. Wang} and \textit{C. P. Kwong}, in: Mathematical software. Proceedings of the 1st international congress, Beijing, China, August 17--19, 2002. Singapore: World Scientific. 93--103 (2002; Zbl 1014.65032)
Zhang, Shenggui; Jiang, Zhaolin; Liu, Sanyang An application of the Gröbner basis in computation for the minimal polynomials and inverses of block circulant matrices. (English) Zbl 1005.65040 Linear Algebra Appl. 347, No. 1-3, 101-114 (2002). Reviewer: Alyson Reeves (Bowie) MSC: 65F30 65F05 68W30 15A21 13P10 15B33 PDFBibTeX XMLCite \textit{S. Zhang} et al., Linear Algebra Appl. 347, No. 1--3, 101--114 (2002; Zbl 1005.65040) Full Text: DOI
Sabadini, I.; Sommen, F. Special first order systems in Clifford analysis and resolutions. (English) Zbl 1134.15302 Z. Anal. Anwend. 21, No. 1, 27-55 (2002). Reviewer: Bertfried Fauser (Konstanz) MSC: 15A66 30G35 35A25 35A27 PDFBibTeX XMLCite \textit{I. Sabadini} and \textit{F. Sommen}, Z. Anal. Anwend. 21, No. 1, 27--55 (2002; Zbl 1134.15302) Full Text: DOI