Mainar, E.; Peña, J. M.; Rubio, B. High relative accuracy through Newton bases. (English) Zbl 07792399 Numer. Algorithms 95, No. 2, 747-772 (2024). MSC: 65F99 PDFBibTeX XMLCite \textit{E. Mainar} et al., Numer. Algorithms 95, No. 2, 747--772 (2024; Zbl 07792399) Full Text: DOI
Delgado, J.; Mainar, E.; Peña, J. M. On the accuracy of de Casteljau-type algorithms and Bernstein representations. (English) Zbl 07757088 Comput. Aided Geom. Des. 106, Article ID 102243, 14 p. (2023). MSC: 65Dxx PDFBibTeX XMLCite \textit{J. Delgado} et al., Comput. Aided Geom. Des. 106, Article ID 102243, 14 p. (2023; Zbl 07757088) Full Text: DOI
Baz, Juan; Alonso, Pedro; Peña, Juan Manuel; Pérez-Fernández, Raúl Gaussian Markov random fields and totally positive matrices. (English) Zbl 1521.60005 J. Comput. Appl. Math. 430, Article ID 115098, 10 p. (2023). MSC: 60B20 65F05 PDFBibTeX XMLCite \textit{J. Baz} et al., J. Comput. Appl. Math. 430, Article ID 115098, 10 p. (2023; Zbl 1521.60005) Full Text: DOI
Delgado, Jorge; Peña, Guillermo; Peña, Juan Manuel Accurate and fast computations with Green matrices. (English) Zbl 07727145 Appl. Math. Lett. 145, Article ID 108778, 5 p. (2023). MSC: 65Fxx 15Axx 15Bxx PDFBibTeX XMLCite \textit{J. Delgado} et al., Appl. Math. Lett. 145, Article ID 108778, 5 p. (2023; Zbl 07727145) Full Text: DOI
Delgado, Jorge; Orera, Héctor; Peña, J. M. Characterizations and accurate computations for tridiagonal Toeplitz matrices. (English) Zbl 1514.65028 Linear Multilinear Algebra 70, No. 19, 4508-4527 (2022). MSC: 65F05 65F15 65G50 15B05 15A23 PDFBibTeX XMLCite \textit{J. Delgado} et al., Linear Multilinear Algebra 70, No. 19, 4508--4527 (2022; Zbl 1514.65028) Full Text: DOI
Mainar, E.; Peña, J. M.; Rubio, B. Total positivity and accurate computations with Gram matrices of Bernstein bases. (English) Zbl 1503.65076 Numer. Algorithms 91, No. 2, 841-859 (2022). MSC: 65F15 15B48 PDFBibTeX XMLCite \textit{E. Mainar} et al., Numer. Algorithms 91, No. 2, 841--859 (2022; Zbl 1503.65076) Full Text: DOI
Mainar, E.; Peña, J. M.; Rubio, B. Accurate computations with matrices related to bases \(\{t^ie^{\lambda t}\}\). (English) Zbl 1492.65067 Adv. Comput. Math. 48, No. 4, Paper No. 38, 25 p. (2022). MSC: 65F05 65F15 15A23 15A18 15B48 PDFBibTeX XMLCite \textit{E. Mainar} et al., Adv. Comput. Math. 48, No. 4, Paper No. 38, 25 p. (2022; Zbl 1492.65067) Full Text: DOI
Mainar, E.; Peña, J. M.; Rubio, B. Accurate computations with Gram and Wronskian matrices of geometric and Poisson bases. (English) Zbl 1492.65066 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 126, 22 p. (2022). MSC: 65F05 65F15 65G50 15A23 PDFBibTeX XMLCite \textit{E. Mainar} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 126, 22 p. (2022; Zbl 1492.65066) Full Text: DOI
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
Mainar, E.; Peña, J. M.; Rubio, B. Accurate computations with Wronskian matrices. (English) Zbl 1469.65088 Calcolo 58, No. 1, Paper No. 1, 15 p. (2021). MSC: 65F99 65F15 15A23 PDFBibTeX XMLCite \textit{E. Mainar} et al., Calcolo 58, No. 1, Paper No. 1, 15 p. (2021; Zbl 1469.65088) Full Text: DOI
Mainar, E.; Peña, J. M.; Rubio, B. Accurate computations with collocation and Wronskian matrices of Jacobi polynomials. (English) Zbl 1468.65034 J. Sci. Comput. 87, No. 3, Paper No. 77, 30 p. (2021). MSC: 65F15 33C45 PDFBibTeX XMLCite \textit{E. Mainar} et al., J. Sci. Comput. 87, No. 3, Paper No. 77, 30 p. (2021; Zbl 1468.65034) Full Text: DOI
Delgado, J.; Orera, H.; Peña, J. M. Accurate bidiagonal decomposition and computations with generalized Pascal matrices. (English) Zbl 1461.65045 J. Comput. Appl. Math. 391, Article ID 113443, 10 p. (2021). MSC: 65F15 65G50 15A23 05A05 11B65 PDFBibTeX XMLCite \textit{J. Delgado} et al., J. Comput. Appl. Math. 391, Article ID 113443, 10 p. (2021; Zbl 1461.65045) Full Text: DOI
Delgado, Jorge; Peña, J. M. Extremal and optimal properties of B-bases collocation matrices. (English) Zbl 1448.65031 Numer. Math. 146, No. 1, 105-118 (2020). MSC: 65F35 15B48 65D17 65D07 PDFBibTeX XMLCite \textit{J. Delgado} and \textit{J. M. Peña}, Numer. Math. 146, No. 1, 105--118 (2020; Zbl 1448.65031) Full Text: DOI arXiv
Barreras, A.; Peña, J. M. Tridiagonal M-matrices whose inverse is tridiagonal and related pentadiagonal matrices. (English) Zbl 1423.15005 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3785-3793 (2019). MSC: 15A09 15B35 15B48 15A15 PDFBibTeX XMLCite \textit{A. Barreras} and \textit{J. M. Peña}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 4, 3785--3793 (2019; Zbl 1423.15005) Full Text: DOI
Delgado, Jorge; Orera, Héctor; Peña, J. M. Accurate algorithms for Bessel matrices. (English) Zbl 1418.65038 J. Sci. Comput. 80, No. 2, 1264-1278 (2019). MSC: 65F05 65F15 65G50 33C10 33C45 15A23 PDFBibTeX XMLCite \textit{J. Delgado} et al., J. Sci. Comput. 80, No. 2, 1264--1278 (2019; Zbl 1418.65038) Full Text: DOI
Delgado, Jorge; Peña, J. M. Accurate computations with Lupaş matrices. (English) Zbl 1411.65032 Appl. Math. Comput. 303, 171-177 (2017). MSC: 65D17 15A09 33D45 68U07 PDFBibTeX XMLCite \textit{J. Delgado} and \textit{J. M. Peña}, Appl. Math. Comput. 303, 171--177 (2017; Zbl 1411.65032) Full Text: DOI Link
Peña, J. M. Accurate computations and applications of some classes of matrices. (English) Zbl 1444.65017 Mateos, Mariano (ed.) et al., Computational mathematics, numerical analysis and applications. Lecture notes of the XVII ‘Jacques-Louis Lions’ Spanish-French school, Gijón, Spain, June 2016. Cham: Springer. SEMA SIMAI Springer Ser. 13, 107-151 (2017). MSC: 65F99 65G50 65K05 65D17 PDFBibTeX XMLCite \textit{J. M. Peña}, SEMA SIMAI Springer Ser. 13, 107--151 (2017; Zbl 1444.65017) Full Text: DOI
Alonso, P.; Peña, J. M.; Serrano, M. L. Backward stability with almost strictly sign regular matrices. (English) Zbl 1364.65064 J. Comput. Appl. Math. 322, 71-80 (2017). MSC: 65F05 65F15 65F35 PDFBibTeX XMLCite \textit{P. Alonso} et al., J. Comput. Appl. Math. 322, 71--80 (2017; Zbl 1364.65064) Full Text: DOI
Alonso, P.; Peña, J. M.; Serrano, M. L. QR decomposition of almost strictly sign regular matrices. (English) Zbl 1357.65034 J. Comput. Appl. Math. 318, 646-657 (2017). MSC: 65F05 PDFBibTeX XMLCite \textit{P. Alonso} et al., J. Comput. Appl. Math. 318, 646--657 (2017; Zbl 1357.65034) Full Text: DOI
Marco, Ana; Martínez, José-Javier; Peña, Juan Manuel Accurate bidiagonal decomposition of totally positive Cauchy-Vandermonde matrices and applications. (English) Zbl 1355.65048 Linear Algebra Appl. 517, 63-84 (2017). MSC: 65F05 65F15 65F20 15A23 15B05 15B48 PDFBibTeX XMLCite \textit{A. Marco} et al., Linear Algebra Appl. 517, 63--84 (2017; Zbl 1355.65048) Full Text: DOI
Alonso, P.; Peña, J. M.; Serrano, M. L. Almost strictly sign regular matrices and Neville elimination with two-determinant pivoting. (English) Zbl 1410.65076 Appl. Math. Comput. 289, 426-434 (2016). MSC: 65F05 65F35 PDFBibTeX XMLCite \textit{P. Alonso} et al., Appl. Math. Comput. 289, 426--434 (2016; Zbl 1410.65076) Full Text: DOI Link
Barreras, A.; Peña, J. M. Total positivity: a new inequality and related classes of matrices. (English) Zbl 1401.15035 Ortegón Gallego, Francisco (ed.) et al., Trends in differential equations and applications. Selected papers based on the presentations at the XXIVth congress on differential equations and applications/XIVth congress on applied mathematics, Cádiz, Spain, June 8–12, 2015. Cham: Springer (ISBN 978-3-319-32012-0/hbk; 978-3-319-32013-7/ebook). SEMA SIMAI Springer Series 8, 371-386 (2016). MSC: 15B48 15A60 PDFBibTeX XMLCite \textit{A. Barreras} and \textit{J. M. Peña}, SEMA SIMAI Springer Ser. 8, 371--386 (2016; Zbl 1401.15035) Full Text: DOI
Barreras, A.; Peña, J. M. Similarity to totally positive matrices and accurate computations. (English) Zbl 1330.15014 Linear Algebra Appl. 491, 317-327 (2016). MSC: 15A23 15A09 15A18 15B48 PDFBibTeX XMLCite \textit{A. Barreras} and \textit{J. M. Peña}, Linear Algebra Appl. 491, 317--327 (2016; Zbl 1330.15014) Full Text: DOI
Barreras, Álvaro; Peña, Juan Manuel On tridiagonal sign regular matrices and generalizations. (English) Zbl 1326.15047 Casas, Fernando (ed.) et al., Advances in differential equations and applications. Selected contributions given at the 23rd congress on differential equations and applications, CEDYA/13th congress of applied mathematics, CMA, September 9–13, 2013. Cham: Springer (ISBN 978-3-319-06952-4/hbk; 978-3-319-06953-1/ebook). SEMA SIMAI Springer Series 4, 239-247 (2015). MSC: 15B48 PDFBibTeX XMLCite \textit{Á. Barreras} and \textit{J. M. Peña}, SEMA SIMAI Springer Ser. 4, 239--247 (2015; Zbl 1326.15047) Full Text: DOI
Alonso, Pedro; Peña, J. M.; Serrano, María Luisa On the characterization of almost strictly sign regular matrices. (English) Zbl 1297.65028 J. Comput. Appl. Math. 275, 480-488 (2015). MSC: 65F05 65F15 65F35 PDFBibTeX XMLCite \textit{P. Alonso} et al., J. Comput. Appl. Math. 275, 480--488 (2015; Zbl 1297.65028) Full Text: DOI
Barreras, A.; Peña, J. M. Matrices with bidiagonal decomposition, accurate computations and corner cutting algorithms. (English) Zbl 1317.65059 Cepedello Boiso, Manuel (ed.) et al., Concrete operators, spectral theory, operators in harmonic analysis and approximation. 22nd international workshop in operator theory and its applications, IWOTA 11, Sevilla, Spain, July 3–9, 2011. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0647-3/hbk; 978-3-0348-0648-0/ebook). Operator Theory: Advances and Applications 236, 43-51 (2014). MSC: 65D17 15A23 PDFBibTeX XMLCite \textit{A. Barreras} and \textit{J. M. Peña}, Oper. Theory: Adv. Appl. 236, 43--51 (2014; Zbl 1317.65059) Full Text: DOI
Carnicer, J. M.; Mainar, E.; Peña, J. M. On the critical lengths of cycloidal spaces. (English) Zbl 1315.41001 Constr. Approx. 39, No. 3, 573-583 (2014). Reviewer: Radu Păltănea (Braşov) MSC: 41A10 41A50 41A05 42A10 41A30 65D17 PDFBibTeX XMLCite \textit{J. M. Carnicer} et al., Constr. Approx. 39, No. 3, 573--583 (2014; Zbl 1315.41001) Full Text: DOI
Peña, J. M. An optimal test for almost strict total positivity. (English) Zbl 1321.65062 Linear Algebra Appl. 448, 274-284 (2014). MSC: 65F25 15B48 65F40 PDFBibTeX XMLCite \textit{J. M. Peña}, Linear Algebra Appl. 448, 274--284 (2014; Zbl 1321.65062) Full Text: DOI
Barreras, Alvaro; Peña, J. M. On the extension of some total positivity inequalities. (English) Zbl 1286.15024 Linear Algebra Appl. 448, 153-167 (2014). MSC: 15A45 15A42 15B48 PDFBibTeX XMLCite \textit{A. Barreras} and \textit{J. M. Peña}, Linear Algebra Appl. 448, 153--167 (2014; Zbl 1286.15024) Full Text: DOI
Peña, J. M. Tests for the recognition of total positivity. (English) Zbl 1273.65042 S\(\vec{\text{e}}\)MA J. 62, No. 1, 61-73 (2013). MSC: 65F05 65F15 65F40 65D17 15A18 PDFBibTeX XMLCite \textit{J. M. Peña}, S\(\vec{\text{e}}\)MA J. 62, No. 1, 61--73 (2013; Zbl 1273.65042) Full Text: DOI
Barreras, Alvaro; Pena, J. M. Characterizations of Jacobi sign regular matrices. (English) Zbl 1232.15023 Linear Algebra Appl. 436, No. 2, 381-388 (2012). Reviewer: Grozio Stanilov (Sofia) MSC: 15B35 15B48 PDFBibTeX XMLCite \textit{A. Barreras} and \textit{J. M. Pena}, Linear Algebra Appl. 436, No. 2, 381--388 (2012; Zbl 1232.15023) Full Text: DOI