Messaoudi, Abderrahim; Sadok, Hassane RMPIA: a new algorithm for computing the Lagrange matrix interpolation polynomials. (English) Zbl 1506.65065 Numer. Algorithms 92, No. 1, 849-867 (2023). MSC: 65F60 15A16 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, William Y. C.; Jia, Ivy D. D. Semi-invariants of binary forms and Sylvester’s theorem. (English) Zbl 1495.05010 Ramanujan J. 59, No. 1, 297-311 (2022). MSC: 05A10 05A19 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang A reduction algorithm for reconstructing periodic Jacobi matrices in Minkowski spaces. (English) Zbl 1510.65074 Appl. Math. Comput. 419, Article ID 126853, 15 p. (2022). MSC: 65F18 15A18 15A29 × Cite Format Result Cite Review PDF Full Text: DOI
Perov, Anatoliĭ Ivanovich; Kostrub, Irina Dmitrievna On differential equations in Banach algebras. (Russian. English summary) Zbl 1480.81052 Vestn. Ross. Univ., Mat. 25, No. 132, 410-421 (2020). MSC: 81Q15 47B48 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Errachid, M.; Essanhaji, A.; Messaoudi, A. RMVPIA: a new algorithm for computing the Lagrange multivariate polynomial interpolation. (English) Zbl 1444.65005 Numer. Algorithms 84, No. 4, 1507-1534 (2020). Reviewer: Antonio López-Carmona (Granada) MSC: 65D05 41A05 41A63 65-04 × Cite Format Result Cite Review PDF Full Text: DOI
Sidki, S.; Sadaka, R.; Benazzouz, A. Computing recursive orthogonal polynomial with Schur complements. (English) Zbl 1524.65099 J. Comput. Appl. Math. 373, Article ID 112406, 17 p. (2020). MSC: 65D20 42C05 65B05 65F99 × Cite Format Result Cite Review PDF Full Text: DOI
Kanade, Shashank; Nandi, Debajyoti; Russell, Matthew C. A variant of IdentityFinder and some new identities of Rogers-Ramanujan-MacMahon type. (English) Zbl 1433.05021 Ann. Comb. 23, No. 3-4, 807-834 (2019). MSC: 05A15 05A17 11P84 17B69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Messaoudi, Abderrahim; Errachid, Mohammed; Jbilou, Khalide; Sadok, Hassane GRPIA: a new algorithm for computing interpolation polynomials. (English) Zbl 1477.65029 Numer. Algorithms 80, No. 1, 253-278 (2019). MSC: 65D05 × Cite Format Result Cite Review PDF Full Text: DOI
Costas-Santos, R. S.; Johnson, C. R. Matrices totally positive relative to a tree. II. (English) Zbl 1337.15025 Linear Algebra Appl. 505, 1-10 (2016). MSC: 15B48 05C50 15A18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
De Camargo, André Pierro On some determinantal identities formation laws. (English) Zbl 1329.15021 Linear Multilinear Algebra 63, No. 9, 1760-1767 (2015); erratum ibid. 66 No. 5, 1067 (2018). Reviewer: Dmitry Artamonov (Moskva) MSC: 15A15 15A24 15A69 × Cite Format Result Cite Review PDF Full Text: DOI
de Camargo, André Pierro; da Silva Alves, Felipe Can Sylvester’s determinantal identity, equivalently Muir’s law of extensible minors be generalized? (English) Zbl 1330.15009 Linear Algebra Appl. 482, 70-83 (2015). MSC: 15A15 15A24 15A69 × Cite Format Result Cite Review PDF Full Text: DOI
de Camargo, André Pierro A generalization of Mühlbach’s extension principle for determinantal identities. (English) Zbl 1321.15016 Linear Multilinear Algebra 61, No. 10, 1363-1376 (2013). Reviewer: Dmitri Artamonov (Moskva) MSC: 15A15 15A24 15A69 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Feng; Guo, Victor J. W. Contiguous relations and summation and transformation formulae for basic hypergeometric series. (English) Zbl 1280.33015 J. Difference Equ. Appl. 19, No. 12, 2029-2042 (2013). MSC: 33D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Johnson, Charles R.; Wei, Zhen Asymmetric TP and TN completion problems. (English) Zbl 1261.15035 Linear Algebra Appl. 438, No. 5, 2127-2135 (2013). Reviewer: Costică Moroşanu (Iaşi) MSC: 15A83 15B35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Alladi, Krishnaswami Analysis of a generalized Lebesgue identity in Ramanujan’s lost notebook. (English) Zbl 1256.05011 Ramanujan J. 29, No. 1-3, 339-358 (2012). MSC: 05A17 11P84 11P81 × Cite Format Result Cite Review PDF Full Text: DOI
Abdelmalek, S.; Sioud, Khaled; Mekhaznia, Taher Solve linear system with Sylvester’s condensation. (English) Zbl 1246.15004 Int. J. Algebra 5, No. 17-20, 993-1003 (2011). MSC: 15A06 15A15 05A19 05A10 65F05 × Cite Format Result Cite Review PDF Full Text: Link
Chen, William Y. C.; Hou, Qing-Hu; Sun, Lisa H. The method of combinatorial telescoping. (English) Zbl 1232.05021 J. Comb. Theory, Ser. A 118, No. 3, 899-907 (2011). MSC: 05A19 05A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Teufl, Elmar; Wagner, Stephan Determinant identities for Laplace matrices. (English) Zbl 1184.15006 Linear Algebra Appl. 432, No. 1, 441-457 (2010). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A15 05C30 05C50 94C15 15A24 × Cite Format Result Cite Review PDF Full Text: DOI
Johnson, Charles R.; Costas-Santos, Roberto S.; Tadchiev, Boris Matrices totally positive relative to a tree. (English) Zbl 1171.15021 Electron. J. Linear Algebra 18, 211-221 (2009). MSC: 15B48 15A18 × Cite Format Result Cite Review PDF Full Text: arXiv EuDML EMIS
Abdelmalek, Salem; Kouachi, Said A simple proof of Sylvester’s (determinants) identity. (English) Zbl 1160.15011 Appl. Math. Sci., Ruse 2, No. 29-32, 1571-1580 (2008). Reviewer: Jaroslav Zemánek (Warszawa) MSC: 15A15 15A24 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Terui, Akira Recursive polynomial remainder sequence and its subresultants. (English) Zbl 1173.13028 J. Algebra 320, No. 2, 633-659 (2008). Reviewer: Salah Najib (Lille) MSC: 13P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghorpade, S. R.; Limaye, B. V. Sylvester’s minorant criterion, Lagrange-Beltrami identity, and nonnegative definiteness. (English) Zbl 1173.15305 Math. Stud. 2007, Spec. Centenary Vol., 113-119 (2007). MSC: 15A63 15B48 15B57 × Cite Format Result Cite Review PDF Full Text: arXiv
Nayak, Suhas Monotone matrix functions of successive orders. (English) Zbl 1048.15019 Proc. Am. Math. Soc. 132, No. 1, 33-35 (2004). Reviewer: Zhexian Wan (Beijing) MSC: 15B48 15A24 47A63 × Cite Format Result Cite Review PDF Full Text: DOI
Alladi, Krishnaswami; Berkovich, Alexander New weighted Rogers-Ramanujan partition theorems and their implications. (English) Zbl 1074.11058 Trans. Am. Math. Soc. 354, No. 7, 2557-2577 (2002). MSC: 11P83 11P81 05A19 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Salam, A. On vector Hankel determinants. (English) Zbl 0960.15007 Linear Algebra Appl. 313, No. 1-3, 127-139 (2000). Reviewer: Rabe von Randow (Bonn) MSC: 15A15 65F40 × Cite Format Result Cite Review PDF Full Text: DOI
Alladi, Krishnaswami A combinatorial correspondence related to Göllnitz’ (big) partition theorem and applications. (English) Zbl 0869.05005 Trans. Am. Math. Soc. 349, No. 7, 2721-2735 (1997). MSC: 05A17 05A19 11P83 × Cite Format Result Cite Review PDF Full Text: DOI
Messaoudi, A. Matrix extrapolation algorithms. (English) Zbl 0874.65003 Linear Algebra Appl. 256, 49-73 (1997). Reviewer: G.Walz (Mannheim) MSC: 65B05 65F30 × Cite Format Result Cite Review PDF Full Text: DOI
Akritas, Alkiviadis G.; Akritas, Evgenia K.; Malaschonok, Genadii I. Various proofs of Sylvester’s (determinant) identity. (English) Zbl 1037.15501 Math. Comput. Simul. 42, No. 4-6, 585-593 (1996). MSC: 15A15 15B36 × Cite Format Result Cite Review PDF Full Text: DOI
Salam, A. Non-commutative extrapolation algorithms. (English) Zbl 0812.65003 Numer. Algorithms 7, No. 2-4, 225-251 (1994). Reviewer: P.Wynn (Mexico) MSC: 65B05 15B33 15A66 × Cite Format Result Cite Review PDF Full Text: DOI
Mühlbach, G. On extending determinantal identities. (English) Zbl 0702.15002 Linear Algebra Appl. 132, 145-162 (1990). Reviewer: V.Burjan MSC: 15A15 65F05 × Cite Format Result Cite Review PDF Full Text: DOI
Andrews, George E. An identity of Sylvester and the Rogers-Ramanujan identities. (English) Zbl 0681.10010 Number theory, Proc. Int. Ramanujan Cent. Conf., Madras/India 1987, Lect. Notes Math. 1395, 64-72 (1989). Reviewer: B.Garrison MSC: 11P81 05A17 11B37 × Cite Format Result Cite Review PDF
Mühlbach, G.; Gasca, M. A generalization of Sylvester’s identity on determinants and some applications. (English) Zbl 0576.15005 Linear Algebra Appl. 66, 221-234 (1985). Reviewer: N.I.Osetinski MSC: 15A15 15A45 × Cite Format Result Cite Review PDF Full Text: DOI
Gasca, M.; Lopez-Carmona, A.; Ramirez, V. A generalized Sylvester’s identity on determinants and its applications to interpolation problems. (English) Zbl 0496.41002 Multivariate approximation theory II, Proc. Conf., Oberwolfach 1982, ISNM 61, 171-184 (1982). MSC: 41A05 15A15 65D05 × Cite Format Result Cite Review PDF
Andrews, George E. Partially ordered sets and the Rogers-Ramanujan identities. (English) Zbl 0298.10011 Aequationes Math. 12, 94-107 (1975). Reviewer: George E. Andrews (University Park) (Aequ. Math. 11, 119) MSC: 11P84 05A15 05A17 05A19 × Cite Format Result Cite Review PDF Full Text: DOI EuDML