Pütz, Michele; Oevermann, Michael Performance and accuracy of the basic closure algorithm of quadrature-based moment methods. (English) Zbl 07766228 J. Comput. Phys. 494, Article ID 112514, 19 p. (2023). MSC: 65Fxx 82Cxx 15Axx PDFBibTeX XMLCite \textit{M. Pütz} and \textit{M. Oevermann}, J. Comput. Phys. 494, Article ID 112514, 19 p. (2023; Zbl 07766228) Full Text: DOI
Hermoso, Carlos; Huertas, Edmundo J.; Lastra, Alberto; Marcellán, Francisco Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations. (English) Zbl 1527.33004 Numer. Algorithms 92, No. 1, 665-692 (2023). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 33C45 33C47 42C05 15A23 PDFBibTeX XMLCite \textit{C. Hermoso} et al., Numer. Algorithms 92, No. 1, 665--692 (2023; Zbl 1527.33004) Full Text: DOI arXiv
Harris, Lawrence A. Alternation points, weights and orthogonal polynomials. (English) Zbl 1517.42024 J. Approx. Theory 285, Article ID 105834, 11 p. (2023). MSC: 42C05 33C45 15A63 PDFBibTeX XMLCite \textit{L. A. Harris}, J. Approx. Theory 285, Article ID 105834, 11 p. (2023; Zbl 1517.42024) Full Text: DOI
Gautschi, Walter; Milovanović, Gradimir V. Orthogonal polynomials relative to a generalized Marchenko-Pastur probability measure. (English) Zbl 1486.33015 Numer. Algorithms 88, No. 3, 1233-1249 (2021). MSC: 33C47 15B52 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{G. V. Milovanović}, Numer. Algorithms 88, No. 3, 1233--1249 (2021; Zbl 1486.33015) Full Text: DOI
Barry, Paul Generalized Catalan recurrences, Riordan arrays, elliptic curves, and orthogonal polynomials. (English) Zbl 1471.11032 J. Integer Seq. 24, No. 5, Article 21.5.1, 48 p. (2021). MSC: 11B37 05A15 14H52 15B36 42C05 PDFBibTeX XMLCite \textit{P. Barry}, J. Integer Seq. 24, No. 5, Article 21.5.1, 48 p. (2021; Zbl 1471.11032) Full Text: arXiv Link
Kaarnioja, Vesa Bounds on the spectrum of nonsingular triangular \((0,1)\)-matrices. (English) Zbl 1472.15011 J. Comb. Theory, Ser. A 178, Article ID 105353, 15 p. (2021). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A18 15A42 15B36 11C20 PDFBibTeX XMLCite \textit{V. Kaarnioja}, J. Comb. Theory, Ser. A 178, Article ID 105353, 15 p. (2021; Zbl 1472.15011) Full Text: DOI arXiv
Jagels, Carl; Jbilou, Khalide; Reichel, Lothar The extended global Lanczos method, Gauss-Radau quadrature, and matrix function approximation. (English) Zbl 1485.65053 J. Comput. Appl. Math. 381, Article ID 113027, 16 p. (2021). MSC: 65F99 15A15 65D32 65F15 65F60 PDFBibTeX XMLCite \textit{C. Jagels} et al., J. Comput. Appl. Math. 381, Article ID 113027, 16 p. (2021; Zbl 1485.65053) Full Text: DOI
Garza-Vargas, Jorge; Kulkarni, Archit The Lanczos algorithm under few iterations: concentration and location of the output. (English) Zbl 1461.65047 SIAM J. Matrix Anal. Appl. 41, No. 3, 1312-1346 (2020). MSC: 65F15 42C05 15A18 PDFBibTeX XMLCite \textit{J. Garza-Vargas} and \textit{A. Kulkarni}, SIAM J. Matrix Anal. Appl. 41, No. 3, 1312--1346 (2020; Zbl 1461.65047) Full Text: DOI arXiv
Dominici, Diego Power series expansion of a Hankel determinant. (English) Zbl 1442.15009 Linear Algebra Appl. 601, 17-54 (2020). Reviewer: George Stoica (Saint John) MSC: 15A15 33C45 05A17 05E05 PDFBibTeX XMLCite \textit{D. Dominici}, Linear Algebra Appl. 601, 17--54 (2020; Zbl 1442.15009) Full Text: DOI
Dominici, Diego Matrix factorizations and orthogonal polynomials. (English) Zbl 1437.33012 Random Matrices Theory Appl. 9, No. 1, Article ID 2040003, 33 p. (2020). MSC: 33C47 15A23 15A24 PDFBibTeX XMLCite \textit{D. Dominici}, Random Matrices Theory Appl. 9, No. 1, Article ID 2040003, 33 p. (2020; Zbl 1437.33012) Full Text: DOI
Gautschi, Walter; Hairer, Ernst On conjectures of Stenger in the theory of orthogonal polynomials. (English) Zbl 1499.33038 J. Inequal. Appl. 2019, Paper No. 159, 27 p. (2019). MSC: 33C45 15A18 30C15 26C10 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{E. Hairer}, J. Inequal. Appl. 2019, Paper No. 159, 27 p. (2019; Zbl 1499.33038) Full Text: DOI
Ariznabarreta, Gerardo; García-Ardila, Juan C.; Mañas, Manuel; Marcellán, Francisco Matrix biorthogonal polynomials on the real line: Geronimus transformations. (English) Zbl 1467.42040 Bull. Math. Sci. 9, No. 2, Article ID 1950007, 68 p. (2019). MSC: 42C05 15A23 33C47 33C50 PDFBibTeX XMLCite \textit{G. Ariznabarreta} et al., Bull. Math. Sci. 9, No. 2, Article ID 1950007, 68 p. (2019; Zbl 1467.42040) Full Text: DOI
Kuian, Mykhailo; Reichel, Lothar; Shiyanovskii, Sergij Optimally conditioned Vandermonde-like matrices. (English) Zbl 1427.65055 SIAM J. Matrix Anal. Appl. 40, No. 4, 1399-1424 (2019). MSC: 65F35 15A12 PDFBibTeX XMLCite \textit{M. Kuian} et al., SIAM J. Matrix Anal. Appl. 40, No. 4, 1399--1424 (2019; Zbl 1427.65055) Full Text: DOI
Álvarez-Vizoso, J.; Arn, Robert; Kirby, Michael; Peterson, Chris; Draper, Bruce Geometry of curves in \(\mathbb{R}^n\) from the local singular value decomposition. (English) Zbl 1415.53001 Linear Algebra Appl. 571, 180-202 (2019). Reviewer: Laurian Ioan Piscoran (Baia Mare) MSC: 53A04 15A18 53A07 PDFBibTeX XMLCite \textit{J. Álvarez-Vizoso} et al., Linear Algebra Appl. 571, 180--202 (2019; Zbl 1415.53001) Full Text: DOI
van Diejen, J. F.; Emsiz, E. Exact cubature rules for symmetric functions. (English) Zbl 1440.65037 Math. Comput. 88, No. 317, 1229-1249 (2019). Reviewer: Adhemar Bultheel (Leuven) MSC: 65D32 05E05 15B52 33C52 33D52 65T40 PDFBibTeX XMLCite \textit{J. F. van Diejen} and \textit{E. Emsiz}, Math. Comput. 88, No. 317, 1229--1249 (2019; Zbl 1440.65037) Full Text: DOI arXiv
Pozza, S.; Strakoš, Z. Algebraic description of the finite Stieltjes moment problem. (English) Zbl 1404.44011 Linear Algebra Appl. 561, 207-227 (2019). MSC: 44A60 30B70 40A15 47B35 47B36 15B99 PDFBibTeX XMLCite \textit{S. Pozza} and \textit{Z. Strakoš}, Linear Algebra Appl. 561, 207--227 (2019; Zbl 1404.44011) Full Text: DOI
Barry, Paul; Mesinga Mwafise, Arnauld Classical and semi-classical orthogonal polynomials defined by Riordan arrays, and their moment sequences. (English) Zbl 1390.15106 J. Integer Seq. 21, No. 1, Article 18.1.5, 40 p. (2018). MSC: 15B36 33C45 11B83 11C20 05A15 PDFBibTeX XMLCite \textit{P. Barry} and \textit{A. Mesinga Mwafise}, J. Integer Seq. 21, No. 1, Article 18.1.5, 40 p. (2018; Zbl 1390.15106) Full Text: Link
Plešinger, Martin; Pultarová, Ivana On the extreme eigenvalues of certain matrices of non-standard inner products of Hermite polynomials. (English) Zbl 1390.15017 Linear Algebra Appl. 546, 50-66 (2018). MSC: 15A12 15A18 15B57 33C45 PDFBibTeX XMLCite \textit{M. Plešinger} and \textit{I. Pultarová}, Linear Algebra Appl. 546, 50--66 (2018; Zbl 1390.15017) Full Text: DOI
van Assche, Walter Majorization results for zeros of orthogonal polynomials. (English) Zbl 1370.33013 Proc. Am. Math. Soc. 145, No. 9, 3849-3863 (2017). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 33C45 42C05 26C10 30C15 15B51 PDFBibTeX XMLCite \textit{W. van Assche}, Proc. Am. Math. Soc. 145, No. 9, 3849--3863 (2017; Zbl 1370.33013) Full Text: DOI arXiv
Barry, Paul On the restricted Chebyshev-Boubaker polynomials. (English) Zbl 1368.15034 Integral Transforms Spec. Funct. 28, No. 3, 223-238 (2017). Reviewer: István Mező (Debrecen) MSC: 15B36 33C45 05A15 11B83 11C20 PDFBibTeX XMLCite \textit{P. Barry}, Integral Transforms Spec. Funct. 28, No. 3, 223--238 (2017; Zbl 1368.15034) Full Text: DOI arXiv
Hnětynková, Iveta; Plešinger, Martin Complex wedge-shaped matrices: a generalization of Jacobi matrices. (English) Zbl 1325.15005 Linear Algebra Appl. 487, 203-219 (2015). MSC: 15A18 15B57 65F15 PDFBibTeX XMLCite \textit{I. Hnětynková} and \textit{M. Plešinger}, Linear Algebra Appl. 487, 203--219 (2015; Zbl 1325.15005) Full Text: DOI
Marco, Ana; Martínez, José-Javier A total positivity property of the Marchenko-Pastur law. (English) Zbl 1326.65048 Electron. J. Linear Algebra 30, 106-117 (2015). MSC: 65F15 15B48 15B52 41A55 65D32 65H04 33C45 33F05 PDFBibTeX XMLCite \textit{A. Marco} and \textit{J.-J. Martínez}, Electron. J. Linear Algebra 30, 106--117 (2015; Zbl 1326.65048) Full Text: DOI
Hnětynková, Iveta; Plešinger, Martin; Strakoš, Zdeněk Band generalization of the Golub-Kahan bidiagonalization, generalized Jacobi matrices, and the core problem. (English) Zbl 1320.65057 SIAM J. Matrix Anal. Appl. 36, No. 2, 417-434 (2015). MSC: 65F20 15A21 15A06 15A18 15A24 65F25 PDFBibTeX XMLCite \textit{I. Hnětynková} et al., SIAM J. Matrix Anal. Appl. 36, No. 2, 417--434 (2015; Zbl 1320.65057) Full Text: DOI Link
Humet, Matthias; Van Barel, Marc Algorithms for the Geronimus transformation for orthogonal polynomials on the unit circle. (English) Zbl 1293.65065 J. Comput. Appl. Math. 267, 195-217 (2014). MSC: 65F25 42C05 15A23 PDFBibTeX XMLCite \textit{M. Humet} and \textit{M. Van Barel}, J. Comput. Appl. Math. 267, 195--217 (2014; Zbl 1293.65065) Full Text: DOI
Barry, Paul Embedding structures associated with Riordan arrays and moment matrices. (English) Zbl 1295.05052 Int. J. Comb. 2014, Article ID 301394, 7 p. (2014). MSC: 05A19 15B36 42C05 PDFBibTeX XMLCite \textit{P. Barry}, Int. J. Comb. 2014, Article ID 301394, 7 p. (2014; Zbl 1295.05052) Full Text: DOI arXiv
Barry, Paul Comparing two matrices of generalized moments defined by continued fraction expansions. (English) Zbl 1288.15039 J. Integer Seq. 17, No. 5, Article 14.5.1, 17 p. (2014). MSC: 15B36 30B70 15A09 11B83 42C05 PDFBibTeX XMLCite \textit{P. Barry}, J. Integer Seq. 17, No. 5, Article 14.5.1, 17 p. (2014; Zbl 1288.15039) Full Text: arXiv EMIS
Barry, Paul A note on three families of orthogonal polynomials defined by circular functions, and their moment sequences. (English) Zbl 1292.42015 J. Integer Seq. 15, No. 7, Article 12.7.2, 14 p. (2012). MSC: 42C05 11B83 33C45 11C20 15B36 PDFBibTeX XMLCite \textit{P. Barry}, J. Integer Seq. 15, No. 7, Article 12.7.2, 14 p. (2012; Zbl 1292.42015) Full Text: EMIS
Amiraslani, A. Notes on linear factor polynomial deflation in polynomial bases. (English) Zbl 1255.15013 Linear Multilinear Algebra 59, No. 12, 1419-1431 (2011). MSC: 15A22 65H04 65H10 PDFBibTeX XMLCite \textit{A. Amiraslani}, Linear Multilinear Algebra 59, No. 12, 1419--1431 (2011; Zbl 1255.15013) Full Text: DOI
Moore, Gerald Orthogonal polynomial expansions for the matrix exponential. (English) Zbl 1217.65078 Linear Algebra Appl. 435, No. 3, 537-559 (2011). MSC: 65F30 15A16 PDFBibTeX XMLCite \textit{G. Moore}, Linear Algebra Appl. 435, No. 3, 537--559 (2011; Zbl 1217.65078) Full Text: DOI
Gautschi, Walter Optimally scaled and optimally conditioned vandermonde and Vandermonde-like matrices. (English) Zbl 1214.65021 BIT 51, No. 1, 103-125 (2011). MSC: 65F35 65F08 15A12 PDFBibTeX XMLCite \textit{W. Gautschi}, BIT 51, No. 1, 103--125 (2011; Zbl 1214.65021) Full Text: DOI
Amiraslani, A. The equivalence of the constrained Rayleigh quotient and Newton methods for matrix polynomials expressed in different polynomial bases along with the confluent case. (English) Zbl 1213.65061 Int. J. Comput. Math. 88, No. 6, 1158-1180 (2011). MSC: 65F15 15A22 PDFBibTeX XMLCite \textit{A. Amiraslani}, Int. J. Comput. Math. 88, No. 6, 1158--1180 (2011; Zbl 1213.65061) Full Text: DOI
Bini, Dario A.; Meini, Beatrice The cyclic reduction algorithm: From Poisson equation to stochastic processes and beyond. In memoriam of Gene H. Golub. (English) Zbl 1170.65021 Numer. Algorithms 51, No. 1, 23-60 (2009). Reviewer: Tzvetan Semerdjiev (Sofia) MSC: 65F10 35J05 65N06 15A24 65F30 60G10 60J10 65C40 PDFBibTeX XMLCite \textit{D. A. Bini} and \textit{B. Meini}, Numer. Algorithms 51, No. 1, 23--60 (2009; Zbl 1170.65021) Full Text: DOI
Kwon, K. H.; Littlejohn, Lance L.; Yoon, G. J. Ghost matrices and a characterization of symmetric Sobolev bilinear forms. (English) Zbl 1214.15016 Linear Algebra Appl. 431, No. 1-2, 104-119 (2009). MSC: 15A63 05A15 35A25 PDFBibTeX XMLCite \textit{K. H. Kwon} et al., Linear Algebra Appl. 431, No. 1--2, 104--119 (2009; Zbl 1214.15016) Full Text: DOI
Provost, Serge B.; Ha, Hyung Tae On the inversion of certain moment matrices. (English) Zbl 1163.15003 Linear Algebra Appl. 430, No. 10, 2650-2658 (2009). MSC: 15A09 33C45 62E17 PDFBibTeX XMLCite \textit{S. B. Provost} and \textit{H. T. Ha}, Linear Algebra Appl. 430, No. 10, 2650--2658 (2009; Zbl 1163.15003) Full Text: DOI
Amiraslani, A.; Aruliah, D. A.; Corless, R. M. Block \(\mathbf {LU}\) factors of generalized companion matrix pencils. (English) Zbl 1140.65032 Theor. Comput. Sci. 381, No. 1-3, 134-147 (2007). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F30 15A22 15A23 65F15 65F05 15A54 PDFBibTeX XMLCite \textit{A. Amiraslani} et al., Theor. Comput. Sci. 381, No. 1--3, 134--147 (2007; Zbl 1140.65032) Full Text: DOI