Mainar, E.; Peña, J. M.; Rubio, B. Accurate bidiagonal factorization of quantum Hilbert matrices. (English) Zbl 07796458 Linear Algebra Appl. 681, 131-149 (2024). MSC: 65F05 65F15 15A18 15A06 PDFBibTeX XMLCite \textit{E. Mainar} et al., Linear Algebra Appl. 681, 131--149 (2024; Zbl 07796458) Full Text: DOI
Mainar, E.; Peña, J. M.; Rubio, B. Total positivity and accurate computations with Gram matrices of Said-Ball bases. (English) Zbl 07790640 Numer. Linear Algebra Appl. 30, No. 6, e2521, 17 p. (2023). MSC: 65F45 15B48 PDFBibTeX XMLCite \textit{E. Mainar} et al., Numer. Linear Algebra Appl. 30, No. 6, e2521, 17 p. (2023; Zbl 07790640) Full Text: DOI
Alonso, Pedro; Jiménez, Jorge; Peña, Juan Manuel; Serrano, María Luisa Depth of almost strictly sign regular matrices. (English) Zbl 07781151 Math. Methods Appl. Sci. 46, No. 1, 732-744 (2023). MSC: 15B35 PDFBibTeX XMLCite \textit{P. Alonso} et al., Math. Methods Appl. Sci. 46, No. 1, 732--744 (2023; Zbl 07781151) Full Text: DOI OA License
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; Koev, Plamen; Marco, Ana; Martínez, José-Javier; Peña, Juan Manuel; Persson, Per-Olof; Spasov, Steven Bidiagonal decompositions of Vandermonde-type matrices of arbitrary rank. (English) Zbl 1512.65060 J. Comput. Appl. Math. 426, Article ID 115064, 15 p. (2023). MSC: 65F15 15A23 15B48 15B35 PDFBibTeX XMLCite \textit{J. Delgado} et al., J. Comput. Appl. Math. 426, Article ID 115064, 15 p. (2023; Zbl 1512.65060) Full Text: DOI arXiv
Panigrahy, Krushnachandra; Mishra, Debasisha; Manuel Peña, Juan On \(C\)-tensor and its application to eigenvalue localization. (English) Zbl 1512.15030 Linear Multilinear Algebra 70, No. 21, 6279-6296 (2022). MSC: 15A69 15A18 PDFBibTeX XMLCite \textit{K. Panigrahy} et al., Linear Multilinear Algebra 70, No. 21, 6279--6296 (2022; Zbl 1512.15030) 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, Esmeralda; Peña, Juan M.; Rubio, Beatriz Accurate and efficient computations with Wronskian matrices of Bernstein and related bases. (English) Zbl 07511604 Numer. Linear Algebra Appl. 29, No. 3, e2423, 18 p. (2022). MSC: 65F99 65F15 15A23 PDFBibTeX XMLCite \textit{E. Mainar} et al., Numer. Linear Algebra Appl. 29, No. 3, e2423, 18 p. (2022; Zbl 07511604) Full Text: DOI
Alonso, P.; Peña, J. M.; Serrano, M. L. Almost strictly sign regular rectangular matrices. (English) Zbl 1481.65047 J. Comput. Appl. Math. 404, Article ID 113121, 10 p. (2022). MSC: 65F05 15A23 PDFBibTeX XMLCite \textit{P. Alonso} et al., J. Comput. Appl. Math. 404, Article ID 113121, 10 p. (2022; Zbl 1481.65047) Full Text: DOI Link
Orera, Héctor; Peña, Juan Manuel Error bounds for linear complementarity problems of \(B_{\pi}^R\)-matrices. (English) Zbl 1476.90329 Comput. Appl. Math. 40, No. 3, Paper No. 94, 13 p. (2021). MSC: 90C33 90C31 65G50 15B48 PDFBibTeX XMLCite \textit{H. Orera} and \textit{J. M. Peña}, Comput. Appl. Math. 40, No. 3, Paper No. 94, 13 p. (2021; Zbl 1476.90329) Full Text: DOI
Delgado, Jorge; Orera, Héctor; Peña, J. M. Optimal properties of tensor product of B-bases. (English) Zbl 1524.15049 Appl. Math. Lett. 121, Article ID 107473, 5 p. (2021). MSC: 15A60 15A42 15A69 65D07 PDFBibTeX XMLCite \textit{J. Delgado} et al., Appl. Math. Lett. 121, Article ID 107473, 5 p. (2021; Zbl 1524.15049) Full Text: DOI
Orera, H.; Peña, J. M. Accurate determinants of some classes of matrices. (English) Zbl 1490.65076 Linear Algebra Appl. 630, 1-14 (2021). Reviewer: Julio Benítez Lopez (Valencia) MSC: 65F40 15A15 PDFBibTeX XMLCite \textit{H. Orera} and \textit{J. M. Peña}, Linear Algebra Appl. 630, 1--14 (2021; Zbl 1490.65076) 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
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
Alonso, P.; Peña, J. M.; Serrano, M. L. Algorithmic characterization of pentadiagonal ASSR matrices. (English) Zbl 1483.15007 Int. J. Comput. Math. 97, No. 1-2, 431-443 (2020). MSC: 15A21 PDFBibTeX XMLCite \textit{P. Alonso} et al., Int. J. Comput. Math. 97, No. 1--2, 431--443 (2020; Zbl 1483.15007) 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
Mainar, Esmeralda; Peña, Juan Manuel; Rubio, Beatriz Accurate bidiagonal decomposition of collocation matrices of weighted \(\varphi\)-transformed systems. (English) Zbl 07217202 Numer. Linear Algebra Appl. 27, No. 3, e2295, 16 p. (2020). MSC: 15A23 65F15 PDFBibTeX XMLCite \textit{E. Mainar} et al., Numer. Linear Algebra Appl. 27, No. 3, e2295, 16 p. (2020; Zbl 07217202) Full Text: DOI
Johnson, Ch. R.; Peña, J. M.; Szulc, T. Rank of linear and quadratic combinations of matrices. (English) Zbl 1454.15002 Electron. J. Linear Algebra 36, 169-176 (2020). Reviewer: Janko Marovt (Maribor) MSC: 15A03 15A15 15A10 47A55 PDFBibTeX XMLCite \textit{Ch. R. Johnson} et al., Electron. J. Linear Algebra 36, 169--176 (2020; Zbl 1454.15002) Full Text: Link
Orera, H.; Peña, J. M. Infinity norm bounds for the inverse of Nekrasov matrices using scaling matrices. (English) Zbl 1429.65084 Appl. Math. Comput. 358, 119-127 (2019). MSC: 65F35 15A60 65F05 90C33 PDFBibTeX XMLCite \textit{H. Orera} and \textit{J. M. Peña}, Appl. Math. Comput. 358, 119--127 (2019; Zbl 1429.65084) Full Text: DOI
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
Orera, H.; Peña, J. M. \(B_\pi^R\)-tensors. (English) Zbl 1420.15018 Linear Algebra Appl. 581, 247-259 (2019). MSC: 15A69 15B48 PDFBibTeX XMLCite \textit{H. Orera} and \textit{J. M. Peña}, Linear Algebra Appl. 581, 247--259 (2019; Zbl 1420.15018) 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
Orera, H.; Peña, J. M. Accurate inverses of Nekrasov \(Z\)-matrices. (English) Zbl 1414.15045 Linear Algebra Appl. 574, 46-59 (2019). MSC: 15B48 15A09 15B35 65F05 PDFBibTeX XMLCite \textit{H. Orera} and \textit{J. M. Peña}, Linear Algebra Appl. 574, 46--59 (2019; Zbl 1414.15045) Full Text: DOI
Delgado, Jorge; Orera, Héctor; Peña, Juan Manuel Accurate computations with Laguerre matrices. (English) Zbl 1513.15026 Numer. Linear Algebra Appl. 26, No. 1, e2217, 10 p. (2019). Reviewer: Chen Sheng (Harbin) MSC: 15A23 15A06 15A09 33C45 PDFBibTeX XMLCite \textit{J. Delgado} et al., Numer. Linear Algebra Appl. 26, No. 1, e2217, 10 p. (2019; Zbl 1513.15026) Full Text: DOI
García-Esnaola, M.; Peña, J. M. On the asymptotic optimality of error bounds for some linear complementarity problems. (English) Zbl 1410.90214 Numer. Algorithms 80, No. 2, 521-532 (2019). MSC: 90C33 90C31 65G50 15B48 PDFBibTeX XMLCite \textit{M. García-Esnaola} and \textit{J. M. Peña}, Numer. Algorithms 80, No. 2, 521--532 (2019; Zbl 1410.90214) Full Text: DOI Link
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
García-Esnaola, M.; Peña, J. M. \(B_{\pi}^R\)-matrices and error bounds for linear complementarity problems. (English) Zbl 1373.90162 Calcolo 54, No. 3, 813-822 (2017). MSC: 90C33 90C31 65G50 15B48 PDFBibTeX XMLCite \textit{M. García-Esnaola} and \textit{J. M. Peña}, Calcolo 54, No. 3, 813--822 (2017; Zbl 1373.90162) 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
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
Alonso, P.; Peña, J. M.; Serrano, M. L. Characterizations of M-banded ASSR matrices. (English) Zbl 1401.15034 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, 33-49 (2016). MSC: 15B48 PDFBibTeX XMLCite \textit{P. Alonso} et al., SEMA SIMAI Springer Ser. 8, 33--49 (2016; Zbl 1401.15034) Full Text: DOI
Delgado, Jorge; Peña, Guillermo; Peña, Juan Manuel Accurate and fast computations with positive extended Schoenmakers-Coffey matrices. (English) Zbl 1424.65020 Numer. Linear Algebra Appl. 23, No. 6, 1023-1031 (2016). MSC: 65F05 65F15 15B48 PDFBibTeX XMLCite \textit{J. Delgado} et al., Numer. Linear Algebra Appl. 23, No. 6, 1023--1031 (2016; Zbl 1424.65020) Full Text: DOI Link
Johnson, Charles R.; Peña, J. M.; Szulc, Tomasz Optimal Gersgorin-style estimation of the largest singular value. II. (English) Zbl 1367.65055 Electron. J. Linear Algebra 31, 679-685 (2016). MSC: 65F15 15A18 15A42 15B48 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Electron. J. Linear Algebra 31, 679--685 (2016; Zbl 1367.65055) Full Text: DOI Link
Carnicer, Jesús; Khiar, Yasmina; Peña, Juan Manuel Factorization of Vandermonde matrices and the Newton formula. 2nd edition. (English) Zbl 1351.65019 Ahusborde, É. (ed.) et al., Thirteenth international conference Zaragoza-Pau on mathematics and its applications. Proceedings of the conference, Jaca, Spain, September 17–18, 2014. Zaragoza: Prensas de la Universidad de Zaragoza (ISBN 978-84-16515-68-4/pbk). Monografías Matemáticas “García de Galdeano” 40, 53-60 (2016). MSC: 65F05 15A23 65F50 PDFBibTeX XMLCite \textit{J. Carnicer} et al., Monogr. Mat. García Galdeano 40, 53--60 (2016; Zbl 1351.65019)
Barreras, Álvaro; Peña, Juan Manuel Intervals of structured matrices. 2nd edition. (English) Zbl 1351.15019 Ahusborde, É. (ed.) et al., Thirteenth international conference Zaragoza-Pau on mathematics and its applications. Proceedings of the conference, Jaca, Spain, September 17–18, 2014. Zaragoza: Prensas de la Universidad de Zaragoza (ISBN 978-84-16515-68-4/pbk). Monografías Matemáticas “García de Galdeano” 40, 21-27 (2016). MSC: 15B48 15A45 15B35 PDFBibTeX XMLCite \textit{Á. Barreras} and \textit{J. M. Peña}, Monogr. Mat. García Galdeano 40, 21--27 (2016; Zbl 1351.15019)
García-Esnaola, M.; Peña, J. M. B-Nekrasov matrices and error bounds for linear complementarity problems. (English) Zbl 1342.90205 Numer. Algorithms 72, No. 2, 435-445 (2016). MSC: 90C33 90C31 65G50 15B48 PDFBibTeX XMLCite \textit{M. García-Esnaola} and \textit{J. M. Peña}, Numer. Algorithms 72, No. 2, 435--445 (2016; Zbl 1342.90205) Full Text: DOI Link
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
Cvetković, Lj.; Erić, M.; Peña, J. M. Eventually SDD matrices and eigenvalue localization. (English) Zbl 1338.15064 Appl. Math. Comput. 252, 535-540 (2015). MSC: 15B48 PDFBibTeX XMLCite \textit{Lj. Cvetković} et al., Appl. Math. Comput. 252, 535--540 (2015; Zbl 1338.15064) 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 Almost strictly totally negative matrices: an algorithmic characterization. (English) Zbl 1297.65027 J. Comput. Appl. Math. 275, 238-246 (2015). MSC: 65F05 15B48 65F40 PDFBibTeX XMLCite \textit{P. Alonso} et al., J. Comput. Appl. Math. 275, 238--246 (2015; Zbl 1297.65027) Full Text: DOI
Barreras, Álvaro; Peña, Juan Manuel Characterizations and tests for almost \(M\)-matrices. (English) Zbl 1360.15037 López de Silanes, M. C. (ed.) et al., Twelfth international conference Zaragoza-Pau on mathematics. Proceedings of the conference, Jaca, Spain, September 17–19, 2012. Zaragoza: Prensas de la Universidad de Zaragoza (ISBN 978-84-16028-35-1/pbk). Monografías Matemáticas “García de Galdeano” 39, 57-63 (2014). MSC: 15B48 65F05 PDFBibTeX XMLCite \textit{Á. Barreras} and \textit{J. M. Peña}, Monogr. Mat. García Galdeano 39, 57--63 (2014; Zbl 1360.15037)
Peña, J. M. Eigenvalue localization and neville elimination. (English) Zbl 1334.15007 Appl. Math. Comput. 242, 340-345 (2014). MSC: 15A06 65F15 PDFBibTeX XMLCite \textit{J. M. Peña}, Appl. Math. Comput. 242, 340--345 (2014; Zbl 1334.15007) Full Text: DOI
Delgado, Jorge; Peña, Juan Manuel Fast and accurate algorithms for Jacobi-Stirling matrices. (English) Zbl 1336.65055 Appl. Math. Comput. 236, 253-259 (2014). MSC: 65F15 05B20 15A23 PDFBibTeX XMLCite \textit{J. Delgado} and \textit{J. M. Peña}, Appl. Math. Comput. 236, 253--259 (2014; Zbl 1336.65055) 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
García-Esnaola, Marta; Peña, Juan Manuel Error bounds for linear complementarity problems of Nekrasov matrices. (English) Zbl 1338.90406 Numer. Algorithms 67, No. 3, 655-667 (2014). Reviewer: Miguel Angel Goberna (Alicante) MSC: 90C33 65L70 65K15 15A45 PDFBibTeX XMLCite \textit{M. García-Esnaola} and \textit{J. M. Peña}, Numer. Algorithms 67, No. 3, 655--667 (2014; Zbl 1338.90406) Full Text: DOI
Barreras, Alvaro; Peña, J. M. Accurate and efficient \(LDU\) decomposition of almost diagonally dominant \(Z\)-matrices. (English) Zbl 1298.65045 BIT 54, No. 2, 343-356 (2014). Reviewer: Constantin Popa (Constanţa) MSC: 65F05 65F35 65F30 15A23 PDFBibTeX XMLCite \textit{A. Barreras} and \textit{J. M. Peña}, BIT 54, No. 2, 343--356 (2014; Zbl 1298.65045) 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
Barreras, Alvaro; Peña, J. M. Accurate computations of matrices with bidiagonal decomposition using methods for totally positive matrices. (English) Zbl 1313.65043 Numer. Linear Algebra Appl. 20, No. 3, 413-424 (2013). Reviewer: Drahoslava Janovská (Praha) MSC: 65F05 15B48 65F15 65F20 15A23 15A18 15A09 PDFBibTeX XMLCite \textit{A. Barreras} and \textit{J. M. Peña}, Numer. Linear Algebra Appl. 20, No. 3, 413--424 (2013; Zbl 1313.65043) Full Text: DOI
Alonso, Pedro; Delgado, Jorge; Gallego, Rafael; Peña, Juan Manuel Conditioning and accurate computations with Pascal matrices. (English) Zbl 1291.65133 J. Comput. Appl. Math. 252, 21-26 (2013). MSC: 65F22 15B36 15A23 65F35 PDFBibTeX XMLCite \textit{P. Alonso} et al., J. Comput. Appl. Math. 252, 21--26 (2013; Zbl 1291.65133) Full Text: DOI
Peña, J. M. Eigenvalue localization and pivoting strategies for Gaussian elimination. (English) Zbl 1291.65131 Appl. Math. Comput. 219, No. 14, 7725-7729 (2013). MSC: 65F15 15A42 65F05 15B48 PDFBibTeX XMLCite \textit{J. M. Peña}, Appl. Math. Comput. 219, No. 14, 7725--7729 (2013; Zbl 1291.65131) 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
Neumann, Michael; Peña, J. M.; Pryporova, Olga Some classes of nonsingular matrices and applications. (English) Zbl 1347.15012 Linear Algebra Appl. 438, No. 4, 1936-1945 (2013). MSC: 15A09 15A18 15A42 60J10 PDFBibTeX XMLCite \textit{M. Neumann} et al., Linear Algebra Appl. 438, No. 4, 1936--1945 (2013; Zbl 1347.15012) Full Text: DOI
Barreras, Alvaro; Pena, J. M. Bidiagonal decompositions, minors and applications. (English) Zbl 1251.15013 Electron. J. Linear Algebra 25, 60-71 (2012). MSC: 15A18 15A15 65F05 65F15 PDFBibTeX XMLCite \textit{A. Barreras} and \textit{J. M. Pena}, Electron. J. Linear Algebra 25, 60--71 (2012; Zbl 1251.15013) Full Text: DOI Link
Johnson, Ch. R.; Pena, J. M.; Szulc, T. Optimal Gersgorin-style estimation of the singular value. (English) Zbl 1250.65054 Electron. J. Linear Algebra 25, 48-59 (2012). MSC: 65F15 15A18 15A42 15B48 PDFBibTeX XMLCite \textit{Ch. R. Johnson} et al., Electron. J. Linear Algebra 25, 48--59 (2012; Zbl 1250.65054) Full Text: Link
Barreras, Alvaro; Pena, J. M. Accurate and efficient LDU decomposition of diagonally dominant M-matrices. (English) Zbl 1250.65047 Electron. J. Linear Algebra 24, 153-167 (2012). MSC: 65F05 65F35 65F15 15A18 PDFBibTeX XMLCite \textit{A. Barreras} and \textit{J. M. Pena}, Electron. J. Linear Algebra 24, 153--167 (2012; Zbl 1250.65047) Full Text: DOI Link
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
Cvetković, Lj.; Kostić, V.; Peña, J. M. Eigenvalue localization refinements for matrices related to positivity. (English) Zbl 1238.65026 SIAM J. Matrix Anal. Appl. 32, No. 3, 771-784 (2011). Reviewer: Liu Xinguo (Qingdao) MSC: 65F15 15A42 15B48 15B51 PDFBibTeX XMLCite \textit{Lj. Cvetković} et al., SIAM J. Matrix Anal. Appl. 32, No. 3, 771--784 (2011; Zbl 1238.65026) Full Text: DOI
Pena, J. M.; Szulc, T. Loewner matrix ordering in estimation of the smallest singular value. (English) Zbl 1221.65099 Electron. J. Linear Algebra 22, 466-479 (2011). MSC: 65F15 15A18 15A42 15B48 PDFBibTeX XMLCite \textit{J. M. Pena} and \textit{T. Szulc}, Electron. J. Linear Algebra 22, 466--479 (2011; Zbl 1221.65099) Full Text: DOI EuDML EMIS
Cortés, V.; Peña, J. M. Symmetric and row scales partial pivoting strategies. (English) Zbl 1317.65077 López de Silanes, María Cruz (ed.) et al., Tenth international conference Zaragoza-Pau on applied mathematics and statistics, Jaca, Spain, September 15–17, 2008. Zaragoza: Prensas Universitarias de Zaragoza (ISBN 978-84-15031-53-6/pbk). Monografías Matemáticas “García de Galdeano” 35, 107-116 (2010). MSC: 65F05 15A06 65F35 65G50 PDFBibTeX XMLCite \textit{V. Cortés} and \textit{J. M. Peña}, Monogr. Mat. García Galdeano 35, 107--116 (2010; Zbl 1317.65077)
Carnicer, J. M.; Delgado, J.; Peña, J. M. Richardson method and totally nonnegative linear systems. (English) Zbl 1208.65041 Linear Algebra Appl. 433, No. 11-12, 2010-2017 (2010). Reviewer: Georg Hebermehl (Berlin) MSC: 65F10 15B48 15B51 65D17 65D07 PDFBibTeX XMLCite \textit{J. M. Carnicer} et al., Linear Algebra Appl. 433, No. 11--12, 2010--2017 (2010; Zbl 1208.65041) Full Text: DOI
Cortés, V.; Peña, J. M. Factorizations of totally negative matrices. (English) Zbl 1203.15010 Bini, Dario Andrea (ed.) et al., Numerical methods for structured matrices and applications. The Georg Heinig memorial volume. Basel: Birkhäuser (ISBN 978-3-7643-8995-6/hbk). Operator Theory: Advances and Applications 199, 221-227 (2010). MSC: 15A23 15B48 PDFBibTeX XMLCite \textit{V. Cortés} and \textit{J. M. Peña}, Oper. Theory: Adv. Appl. 199, 221--227 (2010; Zbl 1203.15010)
Alonso, P.; Delgado, J.; Gallego, R.; Peña, J. M. Neville elimination: An efficient algorithm with application to chemistry. (English) Zbl 1196.92074 J. Math. Chem. 48, No. 1, 3-20 (2010). MSC: 92E99 65F10 15A23 PDFBibTeX XMLCite \textit{P. Alonso} et al., J. Math. Chem. 48, No. 1, 3--20 (2010; Zbl 1196.92074) Full Text: DOI
García-Esnaola, M.; Peña, J. M. A comparison of error bounds for linear complementarity problems of \(H\)-matrices. (English) Zbl 1195.65077 Linear Algebra Appl. 433, No. 5, 956-964 (2010). Reviewer: Berwin A. Turlach (Crawley) MSC: 65K05 90C33 90C31 15B48 PDFBibTeX XMLCite \textit{M. García-Esnaola} and \textit{J. M. Peña}, Linear Algebra Appl. 433, No. 5, 956--964 (2010; Zbl 1195.65077) Full Text: DOI
Cvetković, Lj.; Peña, J. M. Minimal sets alternative to minimal Geršgorin sets. (English) Zbl 1195.15021 Appl. Numer. Math. 60, No. 4, 442-451 (2010). Reviewer: Tin Yau Tam (Auburn) MSC: 15A42 65F15 PDFBibTeX XMLCite \textit{Lj. Cvetković} and \textit{J. M. Peña}, Appl. Numer. Math. 60, No. 4, 442--451 (2010; Zbl 1195.15021) Full Text: DOI
Cortes, V.; Peña, J. M. Required nonzero patterns for nonsingular sign regular matrices. (English) Zbl 1195.15033 Linear Algebra Appl. 432, No. 8, 1990-1994 (2010). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 15B48 15B35 15A15 PDFBibTeX XMLCite \textit{V. Cortes} and \textit{J. M. Peña}, Linear Algebra Appl. 432, No. 8, 1990--1994 (2010; Zbl 1195.15033) Full Text: DOI
Peña, J. M. Eigenvalue bounds for some classes of \(P\)-matrices. (English) Zbl 1224.15040 Numer. Linear Algebra Appl. 16, No. 11-12, 871-882 (2009). MSC: 15A42 15B48 PDFBibTeX XMLCite \textit{J. M. Peña}, Numer. Linear Algebra Appl. 16, No. 11--12, 871--882 (2009; Zbl 1224.15040) Full Text: DOI
Peña, Juan Manuel Eigenvalue localization for totally positive matrices. (English) Zbl 1182.93081 Bru, Rafael (ed.) et al., Positive systems. Proceedings of the third multidisciplinary international symposium on positive systems: theory and applications (POSTA 09), Valencia, Spain, September 2–4, 2009. Berlin: Springer (ISBN 978-3-642-02893-9/pbk; 978-3-642-02894-6/ebook). Lecture Notes in Control and Information Sciences 389, 123-130 (2009). MSC: 93C55 15B48 93E03 93B60 PDFBibTeX XMLCite \textit{J. M. Peña}, Lect. Notes Control Inf. Sci. 389, 123--130 (2009; Zbl 1182.93081) Full Text: DOI
García-Esnaola, M.; Peña, J. M. Sign consistent linear programming problems. (English) Zbl 1175.90285 Optimization 58, No. 8, 935-946 (2009). MSC: 90C05 65K05 90C31 90C46 15B48 PDFBibTeX XMLCite \textit{M. García-Esnaola} and \textit{J. M. Peña}, Optimization 58, No. 8, 935--946 (2009; Zbl 1175.90285) Full Text: DOI
Peña, J. M. Positive symmetric matrices with exactly one positive eigenvalue. (English) Zbl 1163.15024 Linear Algebra Appl. 430, No. 5-6, 1566-1573 (2009). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15B48 15A23 15B51 65F05 15A18 PDFBibTeX XMLCite \textit{J. M. Peña}, Linear Algebra Appl. 430, No. 5--6, 1566--1573 (2009; Zbl 1163.15024) Full Text: DOI
Alonso, P.; Delgado, J.; Gallego, R.; Peña, J. M. Iterative refinement for Neville elimination. (English) Zbl 1159.65029 Int. J. Comput. Math. 86, No. 2, 341-353 (2009). Reviewer: Constantin Popa (Constanţa) MSC: 65F05 15B48 PDFBibTeX XMLCite \textit{P. Alonso} et al., Int. J. Comput. Math. 86, No. 2, 341--353 (2009; Zbl 1159.65029) Full Text: DOI
Cortés, V.; Peña, J. M. A stable test for strict sign regularity. (English) Zbl 1198.65055 Math. Comput. 77, No. 264, 2155-2171 (2008). MSC: 65F05 65F40 15B48 PDFBibTeX XMLCite \textit{V. Cortés} and \textit{J. M. Peña}, Math. Comput. 77, No. 264, 2155--2171 (2008; Zbl 1198.65055) Full Text: DOI
Cortés, V.; Peña, J. M. Decompositions of strictly sign regular matrices. (English) Zbl 1148.15009 Linear Algebra Appl. 429, No. 5-6, 1071-1081 (2008). Reviewer: Erich W. Ellers (Toronto) MSC: 15A23 15B48 PDFBibTeX XMLCite \textit{V. Cortés} and \textit{J. M. Peña}, Linear Algebra Appl. 429, No. 5--6, 1071--1081 (2008; Zbl 1148.15009) Full Text: DOI
Peña, J. M. Hierarchical open Leontief models. (English) Zbl 1155.91017 Linear Algebra Appl. 428, No. 11-12, 2549-2559 (2008). MSC: 91B02 15B48 91B26 PDFBibTeX XMLCite \textit{J. M. Peña}, Linear Algebra Appl. 428, No. 11--12, 2549--2559 (2008; Zbl 1155.91017) Full Text: DOI
Peña, J. M. Refining Gerschgorin disks through new criteria for nonsingularity. (English) Zbl 1195.15022 Numer. Linear Algebra Appl. 14, No. 8, 665-671 (2007). MSC: 15A42 PDFBibTeX XMLCite \textit{J. M. Peña}, Numer. Linear Algebra Appl. 14, No. 8, 665--671 (2007; Zbl 1195.15022) Full Text: DOI
Peña, J. M. Strict diagonal dominance and optimal bounds for the Skeel condition number. (English) Zbl 1148.65032 SIAM J. Numer. Anal. 45, No. 3, 1107-1108 (2007). Reviewer: Michael Jung (Dresden) MSC: 65F35 65F05 15A12 PDFBibTeX XMLCite \textit{J. M. Peña}, SIAM J. Numer. Anal. 45, No. 3, 1107--1108 (2007; Zbl 1148.65032) Full Text: DOI
Johnson, C. R.; Peña, J. M. Matrices that preserve vectors of fixed sign variation. (English) Zbl 1132.15003 Linear Multilinear Algebra 55, No. 6, 521-533 (2007). Reviewer: Michal Zajac (Bratislava) MSC: 15A04 15B48 PDFBibTeX XMLCite \textit{C. R. Johnson} and \textit{J. M. Peña}, Linear Multilinear Algebra 55, No. 6, 521--533 (2007; Zbl 1132.15003) Full Text: DOI
Cortés, V.; Peña, J. M. Growth factor and expected growth factor of some pivoting strategies. (English) Zbl 1120.65032 J. Comput. Appl. Math. 202, No. 2, 292-303 (2007). Reviewer: Liu Xinguo (Qingdao) MSC: 65F05 15B52 PDFBibTeX XMLCite \textit{V. Cortés} and \textit{J. M. Peña}, J. Comput. Appl. Math. 202, No. 2, 292--303 (2007; Zbl 1120.65032) Full Text: DOI
Cortes, V.; Peña, J. M. Sign regular matrices and Neville elimination. (English) Zbl 1116.65033 Linear Algebra Appl. 421, No. 1, 53-62 (2007). Reviewer: Frank Uhlig (Auburn) MSC: 65F05 15A06 15B48 15A23 PDFBibTeX XMLCite \textit{V. Cortes} and \textit{J. M. Peña}, Linear Algebra Appl. 421, No. 1, 53--62 (2007; Zbl 1116.65033) Full Text: DOI
Peña, Juan Manuel Positivity, stability and accuracy. (English) Zbl 1242.65088 Bol. Soc. Esp. Mat. Apl., S\(\vec{\text{e}}\)MA 34, 204-208 (2006). MSC: 65F35 15B48 PDFBibTeX XMLCite \textit{J. M. Peña}, Bol. Soc. Esp. Mat. Apl., S\(\vec{\text{e}}\)MA 34, 204--208 (2006; Zbl 1242.65088)
Gasca, M.; Peña, J. M Characterizations and decompositions of almost strictly positive matrices. (English) Zbl 1109.65029 SIAM J. Matrix Anal. Appl. 28, No. 1, 1-8 (2006). MSC: 65F05 65F40 15B48 PDFBibTeX XMLCite \textit{M. Gasca} and \textit{J. M Peña}, SIAM J. Matrix Anal. Appl. 28, No. 1, 1--8 (2006; Zbl 1109.65029) Full Text: DOI
Peña, J. M. On Descartes’ rules of signs and their exactness. (English) Zbl 1093.26009 Math. Nachr. 278, No. 14, 1706-1713 (2005). MSC: 26C10 30C15 15B48 PDFBibTeX XMLCite \textit{J. M. Peña}, Math. Nachr. 278, No. 14, 1706--1713 (2005; Zbl 1093.26009) Full Text: DOI
Peña, J. M. Exclusion and inclusion intervals for the real eigenvalues of positive matrices. (English) Zbl 1082.15031 SIAM J. Matrix Anal. Appl. 26, No. 4, 908-917 (2005). Reviewer: Constantin Popa (Constanta) MSC: 15A42 15B51 PDFBibTeX XMLCite \textit{J. M. Peña}, SIAM J. Matrix Anal. Appl. 26, No. 4, 908--917 (2005; Zbl 1082.15031) Full Text: DOI
Dimitrov, Dimitar K.; Peña, Juan Manuel Almost strict total positivity and a class of Hurwitz polynomials. (English) Zbl 1072.15028 J. Approximation Theory 132, No. 2, 212-223 (2005). Reviewer: John D. Dixon (Ottawa) MSC: 15B48 26D10 30D15 PDFBibTeX XMLCite \textit{D. K. Dimitrov} and \textit{J. M. Peña}, J. Approx. Theory 132, No. 2, 212--223 (2005; Zbl 1072.15028) Full Text: DOI Link
Peña, J. M. LDU decompositions with \(L\) and \(U\) well conditioned. (English) Zbl 1083.65033 ETNA, Electron. Trans. Numer. Anal. 18, 198-208 (2004). Reviewer: János Karátson (Budapest) MSC: 65F05 65F35 15A12 PDFBibTeX XMLCite \textit{J. M. Peña}, ETNA, Electron. Trans. Numer. Anal. 18, 198--208 (2004; Zbl 1083.65033) Full Text: EuDML EMIS
Peña, J. M. Characterizations and stable tests for the Routh–Hurwitz conditions and for total positivity. (English) Zbl 1068.15033 Linear Algebra Appl. 393, 319-332 (2004). Reviewer: Rabe von Randow (Bonn) MSC: 15B48 26C10 PDFBibTeX XMLCite \textit{J. M. Peña}, Linear Algebra Appl. 393, 319--332 (2004; Zbl 1068.15033) Full Text: DOI
Martínez, J. J.; Peña, J. M. Factorizations of Cauchy-Vandermonde matrices with one multiple pole. (English) Zbl 1062.15005 Pordavi, Omar (ed.), Recent research on pure and applied algebra. New York, NY: Nova Science Publishers (ISBN 1-59033-578-3/hbk). 85-95 (2003). MSC: 15A23 15B57 15A06 65F05 PDFBibTeX XMLCite \textit{J. J. Martínez} and \textit{J. M. Peña}, in: Recent research on pure and applied algebra. New York, NY: Nova Science Publishers. 85--95 (2003; Zbl 1062.15005)
Peña, J. M. On an alternative to Gerschgorin circles and ovals of Cassini. (English) Zbl 1032.15014 Numer. Math. 95, No. 2, 337-345 (2003). Reviewer: Alan L.Andrew (Bundoora) MSC: 15A42 65F15 PDFBibTeX XMLCite \textit{J. M. Peña}, Numer. Math. 95, No. 2, 337--345 (2003; Zbl 1032.15014) Full Text: DOI
Carnicer, J. M.; Mainar, E.; Peña, J. M. Restricted systems. (English) Zbl 1013.41008 Adv. Comput. Math. 18, No. 1, 79-90 (2003). Reviewer: Martin D.Buhmann (Giessen) MSC: 41A15 65D17 15B48 PDFBibTeX XMLCite \textit{J. M. Carnicer} et al., Adv. Comput. Math. 18, No. 1, 79--90 (2003; Zbl 1013.41008) Full Text: DOI
Peña, J. M. On nonsingular sign regular matrices. (English) Zbl 1025.15038 Linear Algebra Appl. 359, No. 1-3, 91-100 (2003). Reviewer: Alexander Guterman (Moskva) MSC: 15B57 15B48 PDFBibTeX XMLCite \textit{J. M. Peña}, Linear Algebra Appl. 359, No. 1--3, 91--100 (2003; Zbl 1025.15038) Full Text: DOI
Peña, J. M. Sign regular matrices of order two. (English) Zbl 1006.15025 Linear Multilinear Algebra 50, No. 1, 91-97 (2002). Reviewer: Rodica Covaci (Cluj-Napoca) MSC: 15B48 15A18 15A09 PDFBibTeX XMLCite \textit{J. M. Peña}, Linear Multilinear Algebra 50, No. 1, 91--97 (2002; Zbl 1006.15025) Full Text: DOI
Carnicer, J. M.; Peña, J. M.; Pinkus, A. On zero-preserving linear transformations. (English) Zbl 0995.41015 J. Math. Anal. Appl. 266, No. 1, 237-258 (2002). MSC: 41A35 15A04 PDFBibTeX XMLCite \textit{J. M. Carnicer} et al., J. Math. Anal. Appl. 266, No. 1, 237--258 (2002; Zbl 0995.41015) Full Text: DOI
Peña, J. M. Determinantal criteria for total positivity. (English) Zbl 0982.15026 Linear Algebra Appl. 332-334, No. 1-3, 131-137 (2001). Reviewer: Václav Burjan (Praha) MSC: 15B48 15A15 PDFBibTeX XMLCite \textit{J. M. Peña}, Linear Algebra Appl. 332--334, 131--137 (2001; Zbl 0982.15026) Full Text: DOI
Peña, J. M. A class of \(P\)-matrices with applications to the localization of the eigenvalues of a real matrix. (English) Zbl 0986.15015 SIAM J. Matrix Anal. Appl. 22, No. 4, 1027-1037 (2001). Reviewer: E.Kreyszig (Ottawa) MSC: 15A42 15B48 PDFBibTeX XMLCite \textit{J. M. Peña}, SIAM J. Matrix Anal. Appl. 22, No. 4, 1027--1037 (2001; Zbl 0986.15015) Full Text: DOI
Carnicer, J. M.; Goodman, T. N. T.; Peña, J. M. Linear conditions for positive determinants. (English) Zbl 0934.15006 Linear Algebra Appl. 292, No. 1-3, 39-59 (1999). Reviewer: V.Burjan (Praha) MSC: 15A15 15A45 15B57 PDFBibTeX XMLCite \textit{J. M. Carnicer} et al., Linear Algebra Appl. 292, No. 1--3, 39--59 (1999; Zbl 0934.15006) Full Text: DOI
Martínez, J. J.; Peña, J. M. Factorizations of Cauchy-Vandermonde matrices. (English) Zbl 0935.65017 Linear Algebra Appl. 284, No. 1-3, 229-237 (1998). MSC: 65F05 15A23 PDFBibTeX XMLCite \textit{J. J. Martínez} and \textit{J. M. Peña}, Linear Algebra Appl. 284, No. 1--3, 229--237 (1998; Zbl 0935.65017) Full Text: DOI
Peña, J. M. On the relationship between graphs and totally positive matrices. (English) Zbl 0912.15024 SIAM J. Matrix Anal. Appl. 19, No. 2, 369-377 (1998). Reviewer: G.Bonanno (Davis) MSC: 15B48 05C20 05C50 PDFBibTeX XMLCite \textit{J. M. Peña}, SIAM J. Matrix Anal. Appl. 19, No. 2, 369--377 (1998; Zbl 0912.15024) Full Text: DOI