Díaz, P.; Mainar, E.; Rubio, B. Polynomial total positivity and high relative accuracy through Schur polynomials. (English) Zbl 07742009 J. Sci. Comput. 97, No. 1, Paper No. 10, 27 p. (2023). MSC: 65Fxx 15Axx 15Bxx PDFBibTeX XMLCite \textit{P. Díaz} et al., J. Sci. Comput. 97, No. 1, Paper No. 10, 27 p. (2023; Zbl 07742009) Full Text: DOI
Xiong, Yebo Accurate computation of eigenvalues of generalized sign regular quasi-Said-Ball-Vandermonde matrices. (English) Zbl 1525.65030 Calcolo 60, No. 3, Paper No. 39, 31 p. (2023). MSC: 65F15 15A18 15B05 PDFBibTeX XMLCite \textit{Y. Xiong}, Calcolo 60, No. 3, Paper No. 39, 31 p. (2023; Zbl 1525.65030) Full Text: DOI
Yang, Zhao; Chen, Tao The accurate and efficient solutions of linear systems for generalized sign regular matrices with certain signature. (English) Zbl 07733952 J. Comput. Appl. Math. 431, Article ID 115280, 16 p. (2023). MSC: 65Fxx 15Axx 15Bxx PDFBibTeX XMLCite \textit{Z. Yang} and \textit{T. Chen}, J. Comput. Appl. Math. 431, Article ID 115280, 16 p. (2023; Zbl 07733952) 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; 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
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 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
Yang, Zhao Computing eigenvalues of quasi-generalized Vandermonde matrices to high relative accuracy. (English) Zbl 1482.65037 J. Comput. Appl. Math. 406, Article ID 114042, 15 p. (2022). MSC: 65F05 65F15 15A23 15B48 15A18 PDFBibTeX XMLCite \textit{Z. Yang}, J. Comput. Appl. Math. 406, Article ID 114042, 15 p. (2022; Zbl 1482.65037) Full Text: DOI
Huang, Rong Accurate computation of generalized eigenvalues of regular SR-BP pairs. (English) Zbl 1480.65081 SIAM J. Matrix Anal. Appl. 42, No. 4, 1680-1702 (2021). MSC: 65F15 65G50 15A18 15A22 15B05 PDFBibTeX XMLCite \textit{R. Huang}, SIAM J. Matrix Anal. Appl. 42, No. 4, 1680--1702 (2021; Zbl 1480.65081) Full Text: DOI
Huang, Rong; Xue, Jungong Accurate singular values of a class of parameterized negative matrices. (English) Zbl 07400555 Adv. Comput. Math. 47, No. 5, Paper No. 73, 30 p. (2021). MSC: 65F15 15A18 15B99 PDFBibTeX XMLCite \textit{R. Huang} and \textit{J. Xue}, Adv. Comput. Math. 47, No. 5, Paper No. 73, 30 p. (2021; Zbl 07400555) 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
Yang, Zhao; Huang, Rong; Zhu, Wei; Liu, Jianzhou Accurate solutions of structured generalized Kronecker product linear systems. (English) Zbl 1469.65069 Numer. Algorithms 87, No. 2, 797-818 (2021). MSC: 65F05 15A06 PDFBibTeX XMLCite \textit{Z. Yang} et al., Numer. Algorithms 87, No. 2, 797--818 (2021; Zbl 1469.65069) 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
Marco, Ana; Martínez, José-Javier; Viaña, Raquel Error analysis, perturbation theory and applications of the bidiagonal decomposition of rectangular totally positive h-Bernstein-Vandermonde matrices. (English) Zbl 1460.65040 Linear Algebra Appl. 613, 377-392 (2021). MSC: 65F15 65F20 65F35 15A23 15B48 PDFBibTeX XMLCite \textit{A. Marco} et al., Linear Algebra Appl. 613, 377--392 (2021; Zbl 1460.65040) 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
Yang, Zhao; Huang, Rong; Zhu, Wei Accurate computations for eigenvalues of products of Cauchy-polynomial-Vandermonde matrices. (English) Zbl 1450.65037 Numer. Algorithms 85, No. 1, 329-351 (2020). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65F15 65F05 15B48 PDFBibTeX XMLCite \textit{Z. Yang} et al., Numer. Algorithms 85, No. 1, 329--351 (2020; Zbl 1450.65037) Full Text: DOI
Huang, Rong Accurate eigenvalues of some generalized sign regular matrices via relatively robust representations. (English) Zbl 1439.65047 J. Sci. Comput. 82, No. 3, Paper No. 78, 30 p. (2020). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{R. Huang}, J. Sci. Comput. 82, No. 3, Paper No. 78, 30 p. (2020; Zbl 1439.65047) Full Text: DOI
Chan, Cy; Drensky, Vesselin; Edelman, Alan; Kan, Raymond; Koev, Plamen On computing Schur functions and series thereof. (English) Zbl 1428.05309 J. Algebr. Comb. 50, No. 2, 127-141 (2019). MSC: 05E05 65F50 65T50 33C20 15B52 PDFBibTeX XMLCite \textit{C. Chan} et al., J. Algebr. Comb. 50, No. 2, 127--141 (2019; Zbl 1428.05309) Full Text: DOI Link
Marco, Ana; Martínez, José-Javier; Viaña, Raquel Accurate bidiagonal decomposition of totally positive h-Bernstein-Vandermonde matrices and applications. (English) Zbl 1420.65018 Linear Algebra Appl. 579, 320-335 (2019). MSC: 65F05 65F15 65D05 15A23 15B48 PDFBibTeX XMLCite \textit{A. Marco} et al., Linear Algebra Appl. 579, 320--335 (2019; Zbl 1420.65018) Full Text: DOI
Marco, Ana; Martínez, José-Javier; Viaña, Raquel Least squares problems involving generalized Kronecker products and application to bivariate polynomial regression. (English) Zbl 1420.65054 Numer. Algorithms 82, No. 1, 21-39 (2019). MSC: 65F20 65F05 62J05 15A09 15B48 PDFBibTeX XMLCite \textit{A. Marco} et al., Numer. Algorithms 82, No. 1, 21--39 (2019; Zbl 1420.65054) 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
Koev, Plamen Accurate eigenvalues and exact zero Jordan blocks of totally nonnegative matrices. (English) Zbl 1434.65035 Numer. Math. 141, No. 3, 693-713 (2019). Reviewer: Georg Hebermehl (Berlin) MSC: 65F15 65F22 65F35 65Y04 15A18 15A20 PDFBibTeX XMLCite \textit{P. Koev}, Numer. Math. 141, No. 3, 693--713 (2019; Zbl 1434.65035) Full Text: DOI
Marco, Ana; Martínez, José-Javier Accurate computation of the Moore-Penrose inverse of strictly totally positive matrices. (English) Zbl 1405.65055 J. Comput. Appl. Math. 350, 299-308 (2019). MSC: 65F20 65F05 65F35 15B05 15B48 15A23 15A09 PDFBibTeX XMLCite \textit{A. Marco} and \textit{J.-J. Martínez}, J. Comput. Appl. Math. 350, 299--308 (2019; Zbl 1405.65055) 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
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
Cantó, Rafael; Peláez, María J.; Urbano, Ana M. On the characterization of totally nonpositive matrices. (English) Zbl 1375.15050 S\(\vec{\text{e}}\)MA J. 73, No. 4, 347-368 (2016). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15B48 15A23 15A09 PDFBibTeX XMLCite \textit{R. Cantó} et al., S\(\vec{\text{e}}\)MA J. 73, No. 4, 347--368 (2016; Zbl 1375.15050) Full Text: DOI Link
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
Marco, Ana; Martínez, José-Javier Bidiagonal decomposition of rectangular totally positive Said-Ball-Vandermonde matrices: error analysis, perturbation theory and applications. (English) Zbl 1333.65028 Linear Algebra Appl. 495, 90-107 (2016). MSC: 65F05 15B48 PDFBibTeX XMLCite \textit{A. Marco} and \textit{J.-J. Martínez}, Linear Algebra Appl. 495, 90--107 (2016; Zbl 1333.65028) 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
Huang, Rong; Chu, Delin Relative perturbation analysis for eigenvalues and singular values of totally nonpositive matrices. (English) Zbl 1328.65089 SIAM J. Matrix Anal. Appl. 36, No. 2, 476-495 (2015). MSC: 65F15 15A18 15A23 15B99 PDFBibTeX XMLCite \textit{R. Huang} and \textit{D. Chu}, SIAM J. Matrix Anal. Appl. 36, No. 2, 476--495 (2015; Zbl 1328.65089) Full Text: DOI
Huang, Rong Rank structure properties of rectangular matrices admitting bidiagonal-type factorizations. (English) Zbl 1303.15015 Linear Algebra Appl. 465, 1-14 (2015). MSC: 15A23 15A03 PDFBibTeX XMLCite \textit{R. Huang}, Linear Algebra Appl. 465, 1--14 (2015; Zbl 1303.15015) 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
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
Huang, Rong; Zhu, Li Componentwise backward error analysis of Neville elimination. (English) Zbl 1288.65060 Linear Algebra Appl. 451, 33-48 (2014). MSC: 65G50 15A23 65F05 PDFBibTeX XMLCite \textit{R. Huang} and \textit{L. Zhu}, Linear Algebra Appl. 451, 33--48 (2014; Zbl 1288.65060) 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. 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
Huang, Rong Componentwise error analysis for the block LU factorization of totally nonnegative matrices. (English) Zbl 1305.15037 Linear Algebra Appl. 439, No. 10, 2888-2900 (2013). MSC: 15A23 65F05 PDFBibTeX XMLCite \textit{R. Huang}, Linear Algebra Appl. 439, No. 10, 2888--2900 (2013; Zbl 1305.15037) 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
Huang, Rong; Liu, Jianzhou Bidiagonal factorizations with some parameters equal to zero. (English) Zbl 1208.15011 Linear Algebra Appl. 434, No. 3, 730-740 (2011). Reviewer: Edgar Pereira (Covilha) MSC: 15A23 15A18 15A42 PDFBibTeX XMLCite \textit{R. Huang} and \textit{J. Liu}, Linear Algebra Appl. 434, No. 3, 730--740 (2011; Zbl 1208.15011) Full Text: DOI
Marco, Ana; Martıńez, José-Javier Polynomial least squares fitting in the Bernstein basis. (English) Zbl 1202.65017 Linear Algebra Appl. 433, No. 7, 1254-1264 (2010). Reviewer: Nicoleta Breaz (Alba Iulia) MSC: 65D10 65F20 65F35 15A06 15A23 65F50 62J05 PDFBibTeX XMLCite \textit{A. Marco} and \textit{J.-J. Martıńez}, Linear Algebra Appl. 433, No. 7, 1254--1264 (2010; Zbl 1202.65017) Full Text: DOI arXiv
Marco, Ana; Martínez, José-Javier Accurate computations with Said-Ball-Vandermonde matrices. (English) Zbl 1189.65054 Linear Algebra Appl. 432, No. 11, 2894-2908 (2010). MSC: 65F05 65F15 15B48 15A23 PDFBibTeX XMLCite \textit{A. Marco} and \textit{J.-J. Martínez}, Linear Algebra Appl. 432, No. 11, 2894--2908 (2010; Zbl 1189.65054) Full Text: DOI arXiv
Dopico, Froilán M.; Koev, Plamen Bidiagonal decompositions of oscillating systems of vectors. (English) Zbl 1143.15021 Linear Algebra Appl. 428, No. 11-12, 2536-2548 (2008). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15B48 15A18 PDFBibTeX XMLCite \textit{F. M. Dopico} and \textit{P. Koev}, Linear Algebra Appl. 428, No. 11--12, 2536--2548 (2008; Zbl 1143.15021) Full Text: DOI
Koev, Plamen Accurate computations with totally nonnegative matrices. (English) Zbl 1198.65057 SIAM J. Matrix Anal. Appl. 29, No. 3, 731-751 (2007). MSC: 65F05 65F15 65F20 15B48 PDFBibTeX XMLCite \textit{P. Koev}, SIAM J. Matrix Anal. Appl. 29, No. 3, 731--751 (2007; Zbl 1198.65057) Full Text: DOI
Koev, Plamen; Dopico, Froilán Accurate eigenvalues of certain sign regular matrices. (English) Zbl 1117.65053 Linear Algebra Appl. 424, No. 2-3, 435-447 (2007). MSC: 65F15 15B48 65F35 PDFBibTeX XMLCite \textit{P. Koev} and \textit{F. Dopico}, Linear Algebra Appl. 424, No. 2--3, 435--447 (2007; Zbl 1117.65053) Full Text: DOI