Branquinho, Amílcar; Foulquié-Moreno, Ana; Mañas, Manuel Positive bidiagonal factorization of tetradiagonal Hessenberg matrices. (English) Zbl 1526.15013 Linear Algebra Appl. 677, 132-160 (2023). Reviewer: Tin Yau Tam (Reno) MSC: 15A23 15A15 15B05 42C05 33C45 33C47 15B48 47B39 47B28 47B36 PDFBibTeX XMLCite \textit{A. Branquinho} et al., Linear Algebra Appl. 677, 132--160 (2023; Zbl 1526.15013) Full Text: DOI arXiv
Fuentes, Edinson; Garza, Luis E. On the Hahn’s property for matrix orthogonal polynomials on the unit circle. (English) Zbl 07724303 Linear Algebra Appl. 675, 118-141 (2023). MSC: 33C45 42C05 15A16 PDFBibTeX XMLCite \textit{E. Fuentes} and \textit{L. E. Garza}, Linear Algebra Appl. 675, 118--141 (2023; Zbl 07724303) Full Text: DOI
Verde-Star, Luis Linearization and connection coefficients of polynomial sequences: a matrix approach. (English) Zbl 1518.15021 Linear Algebra Appl. 672, 195-209 (2023). Reviewer: Roberto S. Costas-Santos (Sevilla) MSC: 15A30 33C45 12D99 PDFBibTeX XMLCite \textit{L. Verde-Star}, Linear Algebra Appl. 672, 195--209 (2023; Zbl 1518.15021) Full Text: DOI arXiv
Crampé, Nicolas; Frappat, Luc; Ragoucy, Eric Representations of the rank two Racah algebra and orthogonal multivariate polynomials. (English) Zbl 07661159 Linear Algebra Appl. 664, 165-215 (2023). Reviewer: Nenad Manojlović (Faro) MSC: 33C80 33C45 16G60 52B05 52B15 PDFBibTeX XMLCite \textit{N. Crampé} et al., Linear Algebra Appl. 664, 165--215 (2023; Zbl 07661159) Full Text: DOI arXiv
Xu, Kang-Li; Jiang, Yao-Lin; Li, Zhen; Li, Li Model reduction of discrete time-delay systems based on Charlier polynomials and high-order Krylov subspaces. (English) Zbl 1507.93044 Linear Algebra Appl. 661, 222-246 (2023). MSC: 93B11 93C55 93B25 33C47 PDFBibTeX XMLCite \textit{K.-L. Xu} et al., Linear Algebra Appl. 661, 222--246 (2023; Zbl 1507.93044) Full Text: DOI
Fritzsche, Bernd; Kirstein, Bernd; Kley, Susanne; Mädler, Conrad The Weyl matrix balls corresponding to the matricial truncated Hamburger moment problem. (English) Zbl 1503.44005 Linear Algebra Appl. 651, 230-311 (2022). MSC: 44A60 47A57 30E05 PDFBibTeX XMLCite \textit{B. Fritzsche} et al., Linear Algebra Appl. 651, 230--311 (2022; Zbl 1503.44005) Full Text: DOI arXiv
Mainar, E.; Peña, J. M.; Rubio, B. Accurate computations with Wronskian matrices of Bessel and Laguerre polynomials. (English) Zbl 1493.15054 Linear Algebra Appl. 647, 31-46 (2022). Reviewer: Tin Yau Tam (Reno) MSC: 15A23 15A18 15A06 15A09 33C10 33C50 65G50 65F05 PDFBibTeX XMLCite \textit{E. Mainar} et al., Linear Algebra Appl. 647, 31--46 (2022; Zbl 1493.15054) Full Text: DOI
Morales, John Vincent S. Linking the special orthogonal algebra \(\mathfrak{so}_4\) and the tetrahedron algebra \(\boxtimes \). (English) Zbl 1491.17016 Linear Algebra Appl. 637, 212-239 (2022). Reviewer: Alberto Elduque (Zaragoza) MSC: 17B65 33C45 PDFBibTeX XMLCite \textit{J. V. S. Morales}, Linear Algebra Appl. 637, 212--239 (2022; Zbl 1491.17016) Full Text: DOI
Verde-Star, Luis A unified construction of all the hypergeometric and basic hypergeometric families of orthogonal polynomial sequences. (English) Zbl 1477.33016 Linear Algebra Appl. 627, 242-274 (2021). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 33C45 33D45 PDFBibTeX XMLCite \textit{L. Verde-Star}, Linear Algebra Appl. 627, 242--274 (2021; Zbl 1477.33016) Full Text: DOI arXiv
Petrullo, P. Palindromic Riordan arrays, classical orthogonal polynomials and Catalan triangles. (English) Zbl 1462.05025 Linear Algebra Appl. 618, 158-182 (2021). MSC: 05A15 05C20 33D45 PDFBibTeX XMLCite \textit{P. Petrullo}, Linear Algebra Appl. 618, 158--182 (2021; Zbl 1462.05025) Full Text: DOI
Shitov, Yaroslav The determinants of certain \((0,1)\) Toeplitz matrices. (English) Zbl 1464.15012 Linear Algebra Appl. 618, 150-157 (2021). Reviewer: Jaydeb Sarkar (Bangalore) MSC: 15A15 15B05 15A18 42C05 PDFBibTeX XMLCite \textit{Y. Shitov}, Linear Algebra Appl. 618, 150--157 (2021; Zbl 1464.15012) Full Text: DOI
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
Štampach, František; Šťovíček, Pavel On Hankel matrices commuting with Jacobi matrices from the Askey scheme. (English) Zbl 1443.47035 Linear Algebra Appl. 591, 235-267 (2020). MSC: 47B35 33C45 PDFBibTeX XMLCite \textit{F. Štampach} and \textit{P. Šťovíček}, Linear Algebra Appl. 591, 235--267 (2020; Zbl 1443.47035) Full Text: DOI arXiv
Guo, Wan-Ming; Zhu, Bao-Xuan A generalized ordered Bell polynomial. (English) Zbl 1437.05022 Linear Algebra Appl. 588, 458-470 (2020). MSC: 05A20 05A30 05A15 11B83 30B70 42C05 PDFBibTeX XMLCite \textit{W.-M. Guo} and \textit{B.-X. Zhu}, Linear Algebra Appl. 588, 458--470 (2020; Zbl 1437.05022) Full Text: DOI
Lee, Jae-Ho Grassmann graphs, degenerate DAHA, and non-symmetric dual \(q\)-Hahn polynomials. (English) Zbl 1437.05241 Linear Algebra Appl. 588, 160-195 (2020). MSC: 05E30 20C08 33D45 33D80 PDFBibTeX XMLCite \textit{J.-H. Lee}, Linear Algebra Appl. 588, 160--195 (2020; Zbl 1437.05241) Full Text: DOI arXiv
Fuentes, Edinson; Garza, Luis E. CMV block matrices for symmetric matrix measures on the unit circle. (English) Zbl 1437.33014 Linear Algebra Appl. 587, 314-333 (2020). Reviewer: Francisco Marcellán (Leganes) MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{E. Fuentes} and \textit{L. E. Garza}, Linear Algebra Appl. 587, 314--333 (2020; Zbl 1437.33014) Full Text: DOI
Encinas, A. M.; Jiménez, M. J. Triangular sequences, combinatorial recurrences and linear difference equations. (English) Zbl 1416.05040 Linear Algebra Appl. 576, 301-323 (2019). MSC: 05A19 05A10 11B37 11B65 11B73 39A06 PDFBibTeX XMLCite \textit{A. M. Encinas} and \textit{M. J. Jiménez}, Linear Algebra Appl. 576, 301--323 (2019; Zbl 1416.05040) Full Text: DOI Link
Anđelić, Milica; da Fonseca, Carlos M. Some comments on tridiagonal \((p,r)\)-Toeplitz matrices. (English) Zbl 1414.15036 Linear Algebra Appl. 572, 46-50 (2019). MSC: 15B05 15A18 65F15 42C05 PDFBibTeX XMLCite \textit{M. Anđelić} and \textit{C. M. da Fonseca}, Linear Algebra Appl. 572, 46--50 (2019; Zbl 1414.15036) Full Text: DOI
Ismail, M. E. H.; Ranga, A. Sri \(R_{II}\) type recurrence, generalized eigenvalue problem and orthogonal polynomials on the unit circle. (English) Zbl 1405.33017 Linear Algebra Appl. 562, 63-90 (2019). MSC: 33C47 33C45 58C40 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{A. S. Ranga}, Linear Algebra Appl. 562, 63--90 (2019; Zbl 1405.33017) Full Text: DOI arXiv
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
Cheon, Gi-Sang; Jung, Ji-Hwan; Barry, Paul Horizontal and vertical formulas for exponential Riordan matrices and their applications. (English) Zbl 1377.05007 Linear Algebra Appl. 541, 266-284 (2018). MSC: 05A15 33C45 PDFBibTeX XMLCite \textit{G.-S. Cheon} et al., Linear Algebra Appl. 541, 266--284 (2018; Zbl 1377.05007) Full Text: DOI
Nomura, Kazumasa; Terwilliger, Paul The universal DAHA of type \((C_1^\vee, C_1)\) and Leonard pairs of \(q\)-Racah type. (English) Zbl 1371.33031 Linear Algebra Appl. 533, 14-83 (2017). MSC: 33D80 33D45 PDFBibTeX XMLCite \textit{K. Nomura} and \textit{P. Terwilliger}, Linear Algebra Appl. 533, 14--83 (2017; Zbl 1371.33031) Full Text: DOI arXiv
Baseilhac, P.; Gainutdinov, A. M.; Vu, T. T. Cyclic tridiagonal pairs, higher order Onsager algebras and orthogonal polynomials. (English) Zbl 1406.17022 Linear Algebra Appl. 522, 71-110 (2017). MSC: 17B37 17B81 33D80 42C05 81R10 81R12 PDFBibTeX XMLCite \textit{P. Baseilhac} et al., Linear Algebra Appl. 522, 71--110 (2017; Zbl 1406.17022) Full Text: DOI arXiv Link
Krelifa, Ali; Zerouki, Ebtissem Riordan arrays and \(d\)-orthogonality. (English) Zbl 1354.33006 Linear Algebra Appl. 515, 331-353 (2017). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{A. Krelifa} and \textit{E. Zerouki}, Linear Algebra Appl. 515, 331--353 (2017; Zbl 1354.33006) Full Text: DOI
Terwilliger, Paul Leonard triples of \(q\)-Racah type and their pseudo intertwiners. (English) Zbl 1352.15015 Linear Algebra Appl. 515, 145-174 (2017). MSC: 15A21 33D45 PDFBibTeX XMLCite \textit{P. Terwilliger}, Linear Algebra Appl. 515, 145--174 (2017; Zbl 1352.15015) Full Text: DOI
Sang, Man; Gao, Suogang; Hou, Bo Leonard pairs and quantum algebra \(U_q(sl_{2})\). (English) Zbl 1403.17021 Linear Algebra Appl. 510, 346-360 (2016). MSC: 17B37 05E30 33C45 33C52 33D45 PDFBibTeX XMLCite \textit{M. Sang} et al., Linear Algebra Appl. 510, 346--360 (2016; Zbl 1403.17021) Full Text: DOI
Morales, John Vincent S. On Lee association schemes over \(\mathbb{Z}_4\) and their Terwilliger algebra. (English) Zbl 1352.05197 Linear Algebra Appl. 510, 311-328 (2016). MSC: 05E30 05C50 15A04 20C30 33C45 PDFBibTeX XMLCite \textit{J. V. S. Morales}, Linear Algebra Appl. 510, 311--328 (2016; Zbl 1352.05197) Full Text: DOI
Forrester, Peter J.; Ipsen, Jesper R. Real eigenvalue statistics for products of asymmetric real Gaussian matrices. (English) Zbl 1352.15038 Linear Algebra Appl. 510, 259-290 (2016). MSC: 15B52 33C47 34L20 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{J. R. Ipsen}, Linear Algebra Appl. 510, 259--290 (2016; Zbl 1352.15038) Full Text: DOI arXiv
Abril Bucero, Marta; Bajaj, Chandrajit; Mourrain, Bernard On the construction of general cubature formula by flat extensions. (English) Zbl 1386.65094 Linear Algebra Appl. 502, 104-125 (2016). MSC: 65D32 15B05 65D30 90C22 PDFBibTeX XMLCite \textit{M. Abril Bucero} et al., Linear Algebra Appl. 502, 104--125 (2016; Zbl 1386.65094) Full Text: DOI arXiv
Barry, Paul Riordan arrays, generalized Narayana triangles, and series reversion. (English) Zbl 1391.05064 Linear Algebra Appl. 491, 343-385 (2016). MSC: 05B20 05A15 11B83 15B36 33C45 42C05 PDFBibTeX XMLCite \textit{P. Barry}, Linear Algebra Appl. 491, 343--385 (2016; Zbl 1391.05064) Full Text: DOI
Cheon, Gi-Sang; Jung, Ji-Hwan The \(q\)-Sheffer sequences of a new type and associated orthogonal polynomials. (English) Zbl 1330.05011 Linear Algebra Appl. 491, 171-186 (2016). MSC: 05A15 12D10 42C05 PDFBibTeX XMLCite \textit{G.-S. Cheon} and \textit{J.-H. Jung}, Linear Algebra Appl. 491, 171--186 (2016; Zbl 1330.05011) Full Text: DOI
Fiol, M. A. Quotient-polynomial graphs. (English) Zbl 1326.05174 Linear Algebra Appl. 488, 363-376 (2016). MSC: 05E30 05E05 05C50 05C12 42C05 PDFBibTeX XMLCite \textit{M. A. Fiol}, Linear Algebra Appl. 488, 363--376 (2016; Zbl 1326.05174) Full Text: DOI arXiv
Castro, M.; Grünbaum, F. A. The Darboux process and time-and-band limiting for matrix orthogonal polynomials. (English) Zbl 1326.33013 Linear Algebra Appl. 487, 328-341 (2015). MSC: 33C45 22E45 33C47 PDFBibTeX XMLCite \textit{M. Castro} and \textit{F. A. Grünbaum}, Linear Algebra Appl. 487, 328--341 (2015; Zbl 1326.33013) Full Text: DOI
Garza, Lino G.; Garza, Luis E.; Marcellán, Francisco; Pinzón-Cortés, Natalia C. A matrix characterization for the \(D_\nu\)-semiclassical and \(D_\nu\)-coherent orthogonal polynomials. (English) Zbl 1342.42025 Linear Algebra Appl. 487, 242-259 (2015). Reviewer: Howard Cohl (Gaithersburg) MSC: 42C05 15A23 PDFBibTeX XMLCite \textit{L. G. Garza} et al., Linear Algebra Appl. 487, 242--259 (2015; Zbl 1342.42025) Full Text: DOI
Marcellán, Francisco; Shayanfar, Nikta OPUC, CMV matrices and perturbations of measures supported on the unit circle. (English) Zbl 1323.42024 Linear Algebra Appl. 485, 305-344 (2015). MSC: 42C05 33C45 15A23 PDFBibTeX XMLCite \textit{F. Marcellán} and \textit{N. Shayanfar}, Linear Algebra Appl. 485, 305--344 (2015; Zbl 1323.42024) Full Text: DOI
Liu, Huan; Hou, Bo; Gao, Suogang Leonard triples, the Racah algebra, and some distance-regular graphs of Racah type. (English) Zbl 1325.05185 Linear Algebra Appl. 484, 435-456 (2015). MSC: 05E30 05C12 15A04 33D45 PDFBibTeX XMLCite \textit{H. Liu} et al., Linear Algebra Appl. 484, 435--456 (2015; Zbl 1325.05185) Full Text: DOI
Choque Rivero, Abdon Eddy On matrix Hurwitz type polynomials and their interrelations to Stieltjes positive definite sequences and orthogonal matrix polynomials. (English) Zbl 1440.42120 Linear Algebra Appl. 476, 56-84 (2015). MSC: 42C05 33C45 44A60 15A15 15A18 15B57 PDFBibTeX XMLCite \textit{A. E. Choque Rivero}, Linear Algebra Appl. 476, 56--84 (2015; Zbl 1440.42120) Full Text: DOI
Nomura, Kazumasa Leonard pairs having zero-diagonal TD-TD form. (English) Zbl 1312.05149 Linear Algebra Appl. 478, 1-52 (2015). MSC: 05E30 33C45 33D45 PDFBibTeX XMLCite \textit{K. Nomura}, Linear Algebra Appl. 478, 1--52 (2015; Zbl 1312.05149) Full Text: DOI arXiv
Escribano, C.; Gonzalo, R.; Torrano, E. On the inversion of infinite moment matrices. (English) Zbl 1314.44005 Linear Algebra Appl. 475, 292-305 (2015). MSC: 44A60 15A29 PDFBibTeX XMLCite \textit{C. Escribano} et al., Linear Algebra Appl. 475, 292--305 (2015; Zbl 1314.44005) Full Text: DOI
Choque Rivero, Abdon Eddy On Dyukarev’s resolvent matrix for a truncated Stieltjes matrix moment problem under the view of orthogonal matrix polynomials. (English) Zbl 1314.44004 Linear Algebra Appl. 474, 44-109 (2015). MSC: 44A60 33C45 30B70 PDFBibTeX XMLCite \textit{A. E. Choque Rivero}, Linear Algebra Appl. 474, 44--109 (2015; Zbl 1314.44004) Full Text: DOI
Zhang, Ruiming; Chen, Li-Chen An operator approach to the inversion of certain Hankel matrices. (English) Zbl 1309.15011 Linear Algebra Appl. 470, 70-80 (2015). MSC: 15A09 15B05 33D45 15A15 PDFBibTeX XMLCite \textit{R. Zhang} and \textit{L.-C. Chen}, Linear Algebra Appl. 470, 70--80 (2015; Zbl 1309.15011) Full Text: DOI
Araznibarreta, Gerardo; Mañas, Manuel A Jacobi type Christoffel-Darboux formula for multiple orthogonal polynomials of mixed type. (English) Zbl 1305.33017 Linear Algebra Appl. 468, 154-170 (2015). MSC: 33C45 42C05 15A23 37K10 PDFBibTeX XMLCite \textit{G. Araznibarreta} and \textit{M. Mañas}, Linear Algebra Appl. 468, 154--170 (2015; Zbl 1305.33017) Full Text: DOI arXiv
Nomura, Kazumasa Leonard pairs having specified end-entries. (English) Zbl 1303.05215 Linear Algebra Appl. 465, 43-64 (2015). MSC: 05E30 15A04 33C45 33D45 PDFBibTeX XMLCite \textit{K. Nomura}, Linear Algebra Appl. 465, 43--64 (2015; Zbl 1303.05215) Full Text: DOI arXiv
Nomura, Kazumasa The end-parameters of a Leonard pair. (English) Zbl 1297.05267 Linear Algebra Appl. 462, 88-109 (2014). MSC: 05E30 33C45 33D45 PDFBibTeX XMLCite \textit{K. Nomura}, Linear Algebra Appl. 462, 88--109 (2014; Zbl 1297.05267) Full Text: DOI arXiv
Hou, Bo; Yang, Longmei; Gao, Suogang Affine transformations of a sharp tridiagonal pair. (English) Zbl 1297.05263 Linear Algebra Appl. 462, 16-38 (2014). MSC: 05E30 15A21 33C45 33D45 PDFBibTeX XMLCite \textit{B. Hou} et al., Linear Algebra Appl. 462, 16--38 (2014; Zbl 1297.05263) Full Text: DOI
Ito, Tatsuro; Sato, Jugo TD-pairs of type II with shape \(1,2,\dots,2,1\). (English) Zbl 1311.15017 Linear Algebra Appl. 461, 51-91 (2014). MSC: 15A30 05E30 33C45 20G05 PDFBibTeX XMLCite \textit{T. Ito} and \textit{J. Sato}, Linear Algebra Appl. 461, 51--91 (2014; Zbl 1311.15017) Full Text: DOI
Kim, H. K.; Kwon, K. H.; Littlejohn, L. L.; Yoon, G. J. Diagonalizability and symmetrizability of Sobolev-type bilinear forms: a combinatorial approach. (English) Zbl 1300.05321 Linear Algebra Appl. 460, 111-124 (2014). MSC: 05E10 11E39 30E05 33C45 PDFBibTeX XMLCite \textit{H. K. Kim} et al., Linear Algebra Appl. 460, 111--124 (2014; Zbl 1300.05321) Full Text: DOI
van Dam, E. R.; Fiol, M. A. The Laplacian spectral excess theorem for distance-regular graphs. (English) Zbl 1296.05208 Linear Algebra Appl. 458, 245-250 (2014). MSC: 05E30 05C50 05C12 42C05 PDFBibTeX XMLCite \textit{E. R. van Dam} and \textit{M. A. Fiol}, Linear Algebra Appl. 458, 245--250 (2014; Zbl 1296.05208) Full Text: DOI arXiv
Bella, Tom; Reis, Jenna The spectral connection matrix for classical orthogonal polynomials of a single parameter. (English) Zbl 1294.65044 Linear Algebra Appl. 458, 161-182 (2014). MSC: 65F30 33C45 15A18 65Y20 PDFBibTeX XMLCite \textit{T. Bella} and \textit{J. Reis}, Linear Algebra Appl. 458, 161--182 (2014; Zbl 1294.65044) Full Text: DOI
Kang, Na; Hou, Bo; Gao, Suogang The traces associated with a sharp tridiagonal system. (English) Zbl 1295.05273 Linear Algebra Appl. 457, 1-11 (2014). MSC: 05E30 15A21 33C45 33D45 PDFBibTeX XMLCite \textit{N. Kang} et al., Linear Algebra Appl. 457, 1--11 (2014; Zbl 1295.05273) Full Text: DOI
Nomura, Kazumasa Leonard pairs having LB-TD form. (English) Zbl 1291.05229 Linear Algebra Appl. 455, 1-21 (2014). MSC: 05E30 33C45 33D45 PDFBibTeX XMLCite \textit{K. Nomura}, Linear Algebra Appl. 455, 1--21 (2014; Zbl 1291.05229) Full Text: DOI arXiv
Derevyagin, M.; García-Ardila, J. C.; Marcellán, F. Multiple Geronimus transformations. (English) Zbl 1295.42007 Linear Algebra Appl. 454, 158-183 (2014). Reviewer: Peter Massopust (München) MSC: 42C05 15A23 PDFBibTeX XMLCite \textit{M. Derevyagin} et al., Linear Algebra Appl. 454, 158--183 (2014; Zbl 1295.42007) Full Text: DOI arXiv
Hanson, Edward A characterization of bipartite Leonard pairs using the notion of a tail. (English) Zbl 1391.15045 Linear Algebra Appl. 452, 46-67 (2014). MSC: 15A21 15A03 05E30 PDFBibTeX XMLCite \textit{E. Hanson}, Linear Algebra Appl. 452, 46--67 (2014; Zbl 1391.15045) Full Text: DOI arXiv
Agapito, José On symmetric polynomials with only real zeros and nonnegative \(\gamma\)-vectors. (English) Zbl 1362.11035 Linear Algebra Appl. 451, 260-289 (2014). MSC: 11B83 11B73 11B75 26C10 30C10 33C45 PDFBibTeX XMLCite \textit{J. Agapito}, Linear Algebra Appl. 451, 260--289 (2014; Zbl 1362.11035) Full Text: DOI
Ito, Tatsuro; Rosengren, Hjalmar; Terwilliger, Paul Evaluation modules for the \(q\)-tetrahedron algebra. (English) Zbl 1294.17014 Linear Algebra Appl. 451, 107-168 (2014). MSC: 17B37 15A21 33D45 PDFBibTeX XMLCite \textit{T. Ito} et al., Linear Algebra Appl. 451, 107--168 (2014; Zbl 1294.17014) Full Text: DOI arXiv
Melman, A. Inclusion disks for polynomial zeros in generalized bases. (English) Zbl 1302.12003 Linear Algebra Appl. 445, 326-346 (2014). MSC: 12D10 15A18 PDFBibTeX XMLCite \textit{A. Melman}, Linear Algebra Appl. 445, 326--346 (2014; Zbl 1302.12003) Full Text: DOI
Verde-Star, Luis Recurrence coefficients and difference equations of classical discrete orthogonal and \(q\)-orthogonal polynomial sequences. (English) Zbl 1285.33014 Linear Algebra Appl. 440, 293-306 (2014). MSC: 33D45 33C45 15A30 PDFBibTeX XMLCite \textit{L. Verde-Star}, Linear Algebra Appl. 440, 293--306 (2014; Zbl 1285.33014) Full Text: DOI
Gao, Suogang; Wang, Yan; Hou, Bo The classification of Leonard triples of Racah type. (English) Zbl 1283.15005 Linear Algebra Appl. 439, No. 7, 1834-1861 (2013). MSC: 15A04 33D45 PDFBibTeX XMLCite \textit{S. Gao} et al., Linear Algebra Appl. 439, No. 7, 1834--1861 (2013; Zbl 1283.15005) Full Text: DOI
Hou, Bo; Wang, Lijuan; Gao, Suogang The classification of Leonard triples that have Bannai/Ito type and odd diameter. (English) Zbl 1283.15007 Linear Algebra Appl. 439, No. 9, 2667-2691 (2013). MSC: 15A04 33D45 PDFBibTeX XMLCite \textit{B. Hou} et al., Linear Algebra Appl. 439, No. 9, 2667--2691 (2013; Zbl 1283.15007) Full Text: DOI
Copenhaver, Martin S.; Kim, Yeon Hyang; Logan, Cortney; Mayfield, Kyanne; Narayan, Sivaram K.; Sheperd, Jonathan Maximum robustness and surgery of frames in finite dimensions. (English) Zbl 1282.42030 Linear Algebra Appl. 439, No. 5, 1330-1339 (2013). MSC: 42C15 05B20 15A03 42C05 PDFBibTeX XMLCite \textit{M. S. Copenhaver} et al., Linear Algebra Appl. 439, No. 5, 1330--1339 (2013; Zbl 1282.42030) Full Text: DOI arXiv
Choque Rivero, Abdon Eddy; Lasarow, Andreas The Eneström-Kakeya theorem encounters the theory of orthogonal polynomials on the unit circle. (English) Zbl 1282.42023 Linear Algebra Appl. 439, No. 5, 1258-1285 (2013). MSC: 42C05 30C15 12Y05 15B05 12D10 PDFBibTeX XMLCite \textit{A. E. Choque Rivero} and \textit{A. Lasarow}, Linear Algebra Appl. 439, No. 5, 1258--1285 (2013; Zbl 1282.42023) Full Text: DOI
Verde-Star, Luis Characterization and construction of classical orthogonal polynomials using a matrix approach. (English) Zbl 1275.33022 Linear Algebra Appl. 438, No. 9, 3635-3648 (2013). MSC: 33C45 33D45 15A30 PDFBibTeX XMLCite \textit{L. Verde-Star}, Linear Algebra Appl. 438, No. 9, 3635--3648 (2013; Zbl 1275.33022) Full Text: DOI
Hanson, Edward A characterization of Leonard pairs using the parameters \(\{a_i\}^d_{i=0}\). (English) Zbl 1266.15018 Linear Algebra Appl. 438, No. 5, 2289-2305 (2013). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15A21 05E30 05C50 PDFBibTeX XMLCite \textit{E. Hanson}, Linear Algebra Appl. 438, No. 5, 2289--2305 (2013; Zbl 1266.15018) Full Text: DOI arXiv
Fidalgo, U.; Peralta, S. Medina; Ceniceros, J. Mínguez Mixed type multiple orthogonal polynomials: Perfectness and interlacing properties of zeros. (English) Zbl 1257.33011 Linear Algebra Appl. 438, No. 3, 1229-1239 (2013). MSC: 33C45 33C52 PDFBibTeX XMLCite \textit{U. Fidalgo} et al., Linear Algebra Appl. 438, No. 3, 1229--1239 (2013; Zbl 1257.33011) Full Text: DOI
Branquinho, A.; Marcellán, F.; Mendes, A. Relative asymptotics for orthogonal matrix polynomials. (English) Zbl 1262.42006 Linear Algebra Appl. 437, No. 7, 1458-1481 (2012). Reviewer: Alexei Lukashov (Istanbul) MSC: 42C05 15A99 PDFBibTeX XMLCite \textit{A. Branquinho} et al., Linear Algebra Appl. 437, No. 7, 1458--1481 (2012; Zbl 1262.42006) Full Text: DOI arXiv
Nomura, Kazumasa; Terwilliger, Paul Krawtchouk polynomials, the Lie algebra \(\mathfrak{sl}_2\), and Leonard pairs. (English) Zbl 1261.33001 Linear Algebra Appl. 437, No. 1, 345-375 (2012). Reviewer: Kevin Coulembier (Gent) MSC: 33C45 05E10 17B10 PDFBibTeX XMLCite \textit{K. Nomura} and \textit{P. Terwilliger}, Linear Algebra Appl. 437, No. 1, 345--375 (2012; Zbl 1261.33001) Full Text: DOI arXiv
Branquinho, A.; Rebocho, M. N. Structure relations for orthogonal polynomials on the unit circle. (English) Zbl 1242.33011 Linear Algebra Appl. 436, No. 11, 4296-4310 (2012). MSC: 33C45 PDFBibTeX XMLCite \textit{A. Branquinho} and \textit{M. N. Rebocho}, Linear Algebra Appl. 436, No. 11, 4296--4310 (2012; Zbl 1242.33011) Full Text: DOI
Chammam, Wathek; Marcellán, Francisco; Sfaxi, Ridha Orthogonal polynomials, Catalan numbers, and a general Hankel determinant evaluation. (English) Zbl 1250.05016 Linear Algebra Appl. 436, No. 7, 2105-2116 (2012). Reviewer: Yohannes Tadesse (Uppsala) MSC: 05A10 33C45 11C20 11B65 PDFBibTeX XMLCite \textit{W. Chammam} et al., Linear Algebra Appl. 436, No. 7, 2105--2116 (2012; Zbl 1250.05016) Full Text: DOI
Huang, Hau-Wen The classification of Leonard triples of QRacah type. (English) Zbl 1238.15002 Linear Algebra Appl. 436, No. 5, 1442-1472 (2012). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A04 33D45 PDFBibTeX XMLCite \textit{H.-W. Huang}, Linear Algebra Appl. 436, No. 5, 1442--1472 (2012; Zbl 1238.15002) Full Text: DOI arXiv
Álvarez-Nodarse, R.; Petronilho, J.; Quintero, N. R. Spectral properties of certain tridiagonal matrices. (English) Zbl 1232.15007 Linear Algebra Appl. 436, No. 3, 682-698 (2012). Reviewer: Grozio Stanilov (Sofia) MSC: 15A18 15A42 15B05 PDFBibTeX XMLCite \textit{R. Álvarez-Nodarse} et al., Linear Algebra Appl. 436, No. 3, 682--698 (2012; Zbl 1232.15007) Full Text: DOI Link
Derevyagin, Maxim; Derkach, Vladimir Darboux transformations of Jacobi matrices and Padé approximation. (English) Zbl 1227.47018 Linear Algebra Appl. 435, No. 12, 3056-3084 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 47B36 30E05 41A21 42C05 46C20 PDFBibTeX XMLCite \textit{M. Derevyagin} and \textit{V. Derkach}, Linear Algebra Appl. 435, No. 12, 3056--3084 (2011; Zbl 1227.47018) Full Text: DOI arXiv
Elouafi, Mohamed An eigenvalue localization theorem for pentadiagonal symmetric Toeplitz matrices. (English) Zbl 1230.15017 Linear Algebra Appl. 435, No. 11, 2986-2998 (2011). Reviewer: Dimitris P. Vartziotis (Ioannina) MSC: 15B05 15A18 33C45 65F15 PDFBibTeX XMLCite \textit{M. Elouafi}, Linear Algebra Appl. 435, No. 11, 2986--2998 (2011; Zbl 1230.15017) Full Text: DOI
Tomeo, V.; Torrano, E. Two applications of the subnormality of the Hessenberg matrix related to general orthogonal polynomials. (English) Zbl 1219.42015 Linear Algebra Appl. 435, No. 9, 2314-2320 (2011). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 42C05 47B20 15A09 PDFBibTeX XMLCite \textit{V. Tomeo} and \textit{E. Torrano}, Linear Algebra Appl. 435, No. 9, 2314--2320 (2011; Zbl 1219.42015) Full Text: DOI
Waldron, Shayne Frames for vector spaces and affine spaces. (English) Zbl 1214.15003 Linear Algebra Appl. 435, No. 1, 77-94 (2011). Reviewer: Grozio Stanilov (Sofia) MSC: 15A03 15A21 41A45 42C15 12Y05 15B10 41A15 52B11 65F25 PDFBibTeX XMLCite \textit{S. Waldron}, Linear Algebra Appl. 435, No. 1, 77--94 (2011; Zbl 1214.15003) Full Text: DOI
Erdmann, Karin; Schroll, Sibylle Chebyshev polynomials on symmetric matrices. (English) Zbl 1218.33009 Linear Algebra Appl. 434, No. 12, 2475-2496 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 15A24 16E40 16E99 14B07 PDFBibTeX XMLCite \textit{K. Erdmann} and \textit{S. Schroll}, Linear Algebra Appl. 434, No. 12, 2475--2496 (2011; Zbl 1218.33009) Full Text: DOI arXiv
Defez, Emilio; Tung, Michael M.; Sastre, Jorge Improvement on the bound of Hermite matrix polynomials. (English) Zbl 1219.65045 Linear Algebra Appl. 434, No. 8, 1910-1919 (2011). Reviewer: Michael Jung (Dresden) MSC: 65F30 15A16 34A30 33C45 PDFBibTeX XMLCite \textit{E. Defez} et al., Linear Algebra Appl. 434, No. 8, 1910--1919 (2011; Zbl 1219.65045) Full Text: DOI Link
Bella, T.; Olshevsky, V.; Zhlobich, P. Reprint of: A quasiseparable approach to five-diagonal CMV and Fiedler matrices. (English) Zbl 1210.15034 Linear Algebra Appl. 434, No. 7, 1773-1792 (2011). MSC: 15B35 11C08 11C20 15A23 65Q30 PDFBibTeX XMLCite \textit{T. Bella} et al., Linear Algebra Appl. 434, No. 7, 1773--1792 (2011; Zbl 1210.15034) Full Text: DOI
Castillo, K.; Garza, L.; Marcellán, F. Perturbations on the subdiagonals of Toeplitz matrices. (English) Zbl 1208.42010 Linear Algebra Appl. 434, No. 6, 1563-1579 (2011). Reviewer: Tin Yau Tam (Auburn) MSC: 42C05 15A23 PDFBibTeX XMLCite \textit{K. Castillo} et al., Linear Algebra Appl. 434, No. 6, 1563--1579 (2011; Zbl 1208.42010) Full Text: DOI
Bella, T.; Olshevsky, V.; Zhlobich, P. A quasiseparable approach to five-diagonal CMV and Fiedler matrices. (English) Zbl 1215.15014 Linear Algebra Appl. 434, No. 4, 957-976 (2011); erratum ibid. 434, No. 7, I (2011). Reviewer: Rodica Covaci (Cluj-Napoca) MSC: 15A23 11C08 11C20 15B35 PDFBibTeX XMLCite \textit{T. Bella} et al., Linear Algebra Appl. 434, No. 4, 957--976 (2011; Zbl 1215.15014) Full Text: DOI
Singh, Preeti Equiangular tight frames and signature sets in groups. (English) Zbl 1207.42026 Linear Algebra Appl. 433, No. 11-12, 2208-2242 (2010). Reviewer: C. L. Parihar (Indore) MSC: 42C15 42C05 42C20 PDFBibTeX XMLCite \textit{P. Singh}, Linear Algebra Appl. 433, No. 11--12, 2208--2242 (2010; Zbl 1207.42026) Full Text: DOI arXiv
Domínguez Jiménez, M. Elena General solution of certain matrix equations arising in filter design applications. (English) Zbl 1191.15013 Linear Algebra Appl. 432, No. 8, 2077-2088 (2010). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15A24 15B05 12D05 PDFBibTeX XMLCite \textit{M. E. Domínguez Jiménez}, Linear Algebra Appl. 432, No. 8, 2077--2088 (2010; Zbl 1191.15013) Full Text: DOI
Bella, T.; Olshevsky, V.; Zhlobich, P. Signal flow graph approach to inversion of \((H,m)\)-quasiseparable-Vandermonde matrices and new filter structures. (English) Zbl 1195.65028 Linear Algebra Appl. 432, No. 8, 2032-2051 (2010). Reviewer: Drahoslava Janovská (Praha) MSC: 65F05 15A09 05C50 65F15 65D20 33C45 33F05 PDFBibTeX XMLCite \textit{T. Bella} et al., Linear Algebra Appl. 432, No. 8, 2032--2051 (2010; Zbl 1195.65028) Full Text: DOI
Dette, Holger; Wagener, Jens Matrix measures on the unit circle, moment spaces, orthogonal polynomials and the Geronimus relations. (English) Zbl 1181.42024 Linear Algebra Appl. 432, No. 7, 1609-1626 (2010). MSC: 42C05 30E05 PDFBibTeX XMLCite \textit{H. Dette} and \textit{J. Wagener}, Linear Algebra Appl. 432, No. 7, 1609--1626 (2010; Zbl 1181.42024) Full Text: DOI arXiv
da Fonseca, C. M. The \(\mu \)-permanent of a tridiagonal matrix, orthogonal polynomials, and chain sequences. (English) Zbl 1183.15007 Linear Algebra Appl. 432, No. 5, 1258-1266 (2010). MSC: 15A15 15A45 12D10 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, Linear Algebra Appl. 432, No. 5, 1258--1266 (2010; Zbl 1183.15007) Full Text: DOI
Bostan, Alin; Salvy, Bruno; Schost, Éric Fast conversion algorithms for orthogonal polynomials. (English) Zbl 1182.65037 Linear Algebra Appl. 432, No. 1, 249-258 (2010). Reviewer: T. C. Mohan (Dehra Dun) MSC: 65D20 65Y20 33C45 33F05 42C05 65T40 68Q25 68W40 PDFBibTeX XMLCite \textit{A. Bostan} et al., Linear Algebra Appl. 432, No. 1, 249--258 (2010; Zbl 1182.65037) Full Text: DOI
Olshevsky, V.; Strang, G.; Zhlobich, P. Green’s matrices. (English) Zbl 1195.15012 Linear Algebra Appl. 432, No. 1, 218-241 (2010). Reviewer: Hans Havlicek (Wien) MSC: 15A23 15A18 11C20 65F15 42C40 33C45 PDFBibTeX XMLCite \textit{V. Olshevsky} et al., Linear Algebra Appl. 432, No. 1, 218--241 (2010; Zbl 1195.15012) Full Text: DOI
Tanaka, Hajime A bilinear form relating two Leonard systems. (English) Zbl 1228.05320 Linear Algebra Appl. 431, No. 10, 1726-1739 (2009). MSC: 05E30 05E10 33C45 33D45 PDFBibTeX XMLCite \textit{H. Tanaka}, Linear Algebra Appl. 431, No. 10, 1726--1739 (2009; Zbl 1228.05320) Full Text: DOI arXiv
Nomura, Kazumasa; Terwilliger, Paul Transition maps between the 24 bases for a Leonard pair. (English) Zbl 1169.05055 Linear Algebra Appl. 431, No. 5-7, 571-593 (2009). MSC: 05E35 05E30 33C45 33D45 PDFBibTeX XMLCite \textit{K. Nomura} and \textit{P. Terwilliger}, Linear Algebra Appl. 431, No. 5--7, 571--593 (2009; Zbl 1169.05055) Full Text: DOI arXiv
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
Nomura, Kazumasa; Terwilliger, Paul Tridiagonal pairs and the \(\mu \)-conjecture. (English) Zbl 1155.15011 Linear Algebra Appl. 430, No. 1, 455-482 (2009). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A21 05E30 05E35 17B99 PDFBibTeX XMLCite \textit{K. Nomura} and \textit{P. Terwilliger}, Linear Algebra Appl. 430, No. 1, 455--482 (2009; Zbl 1155.15011) Full Text: DOI arXiv
Nomura, Kazumasa; Terwilliger, Paul The structure of a tridiagonal pair. (English) Zbl 1144.05331 Linear Algebra Appl. 429, No. 7, 1647-1662 (2008). MSC: 05E35 05E30 33C45 33D45 PDFBibTeX XMLCite \textit{K. Nomura} and \textit{P. Terwilliger}, Linear Algebra Appl. 429, No. 7, 1647--1662 (2008; Zbl 1144.05331) Full Text: DOI arXiv
Nomura, Kazumasa; Terwilliger, Paul Towards a classification of the tridiagonal pairs. (English) Zbl 1193.05165 Linear Algebra Appl. 429, No. 2-3, 503-518 (2008). MSC: 05E30 33C45 33D45 PDFBibTeX XMLCite \textit{K. Nomura} and \textit{P. Terwilliger}, Linear Algebra Appl. 429, No. 2--3, 503--518 (2008; Zbl 1193.05165) Full Text: DOI arXiv
Vidar, Melvin A. Tridiagonal pairs of shape \((1,2,1)\). (English) Zbl 1182.05136 Linear Algebra Appl. 429, No. 1, 403-428 (2008). MSC: 05E30 33C45 33D45 PDFBibTeX XMLCite \textit{M. A. Vidar}, Linear Algebra Appl. 429, No. 1, 403--428 (2008; Zbl 1182.05136) Full Text: DOI arXiv
Nomura, Kazumasa; Terwilliger, Paul Sharp tridiagonal pairs. (English) Zbl 1193.05164 Linear Algebra Appl. 429, No. 1, 79-99 (2008). MSC: 05E30 33C45 33D45 PDFBibTeX XMLCite \textit{K. Nomura} and \textit{P. Terwilliger}, Linear Algebra Appl. 429, No. 1, 79--99 (2008; Zbl 1193.05164) Full Text: DOI arXiv
Severo, Norman C. Matrices with convolutions of binomial functions and Krawtchouk matrices. (English) Zbl 1143.15009 Linear Algebra Appl. 429, No. 1, 50-56 (2008). MSC: 15A18 20G20 33C47 PDFBibTeX XMLCite \textit{N. C. Severo}, Linear Algebra Appl. 429, No. 1, 50--56 (2008; Zbl 1143.15009) Full Text: DOI
Alnajjar, Hasan; Curtin, Brian A bilinear form for tridiagonal pairs of \(q\)-Serre type. (English) Zbl 1194.05166 Linear Algebra Appl. 428, No. 11-12, 2688-2698 (2008). MSC: 05E30 15A63 17B37 33D45 PDFBibTeX XMLCite \textit{H. Alnajjar} and \textit{B. Curtin}, Linear Algebra Appl. 428, No. 11--12, 2688--2698 (2008; Zbl 1194.05166) Full Text: DOI
Nomura, Kazumasa; Terwilliger, Paul The switching element for a Leonard pair. (English) Zbl 1134.05105 Linear Algebra Appl. 428, No. 4, 1083-1108 (2008). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 05E35 05E30 33C45 33D45 PDFBibTeX XMLCite \textit{K. Nomura} and \textit{P. Terwilliger}, Linear Algebra Appl. 428, No. 4, 1083--1108 (2008; Zbl 1134.05105) Full Text: DOI arXiv
Ito, Tatsuro; Terwilliger, Paul \(p\)-inverting pairs of linear transformations and the \(q\)-tetrahedron algebra. (English) Zbl 1146.17009 Linear Algebra Appl. 426, No. 2-3, 516-532 (2007). MSC: 17B37 05E35 16G10 16W35 82B23 PDFBibTeX XMLCite \textit{T. Ito} and \textit{P. Terwilliger}, Linear Algebra Appl. 426, No. 2--3, 516--532 (2007; Zbl 1146.17009) Full Text: DOI arXiv
Nomura, Kazumasa; Terwilliger, Paul The split decomposition of a tridiagonal pair. (English) Zbl 1127.05108 Linear Algebra Appl. 424, No. 2-3, 339-345 (2007). Reviewer: Ravi N. Kalia (St. Cloud) MSC: 05E35 05E30 33C45 33D45 PDFBibTeX XMLCite \textit{K. Nomura} and \textit{P. Terwilliger}, Linear Algebra Appl. 424, No. 2--3, 339--345 (2007; Zbl 1127.05108) Full Text: DOI arXiv