Edit Profile (opens in new tab) Peña, Juan Manuel Co-Author Distance Author ID: pena.juan-manuel Published as: Peña, J. M.; Peña, Juan Manuel; Pena, J. M.; Peña, Juan M.; Penã, J. M.; Peña, J.; Manuel Peña, Juan; Pena, Juan Manuel; Peña, Juan-Manuel; Peña, J. M more...less Homepage: http://pcmap.unizar.es/~jmpena/ External Links: MGP · ORCID · dblp Documents Indexed: 287 Publications since 1988, including 3 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 53 Co-Authors with 247 Joint Publications 1,208 Co-Co-Authors all top 5 Co-Authors 42 single-authored 57 Carnicer, Jésus Miguel 49 Mainar, Esmeralda 46 Delgado, Jorge F. M. 25 Alonso, Pedro 18 Gasca, Mariano 15 Otal, Javier 14 Serrano, María Luisa 13 Barreras, Alvaro 13 Garcia Esnaola, Marta 13 Rubio, Beatriz 12 Orera, Héctor 9 Cortés, Vanesa 8 Sauer, Tomas 7 Khiar, Yasmina 6 Gallego, Rafael 5 Floater, Michael S. 5 Goodman, Timothy N. T. 5 Martínez, José-Javier 4 Barrio, Roberto 4 Johnson, Charles Royal 4 Szulc, Tomasz 3 Cvetković, Ljiljana 2 Marco García, Ana 2 Micchelli, Charles A. 2 Peña, Guillermo 2 Pinkus, Allan M. 1 Baz, Juan 1 Bovea, M. D. 1 Buhmann, Martin Dietrich 1 Dahmen, Wolfgang A. 1 Dimitrov, Dimitar K. 1 Eric, Marberg 1 Ginestar, Damián 1 Hartley, Brian 1 Jiménez, Jorge E. 1 Koev, Plamen 1 Kostić, Vladimir R. 1 Lamping, Frank 1 Lyche, Tom 1 Mishra, Debasisha 1 Muñoz-Cobo, J. L. 1 Navarro-Esbril, J. 1 Neumann, Michael 1 Panigrahy, Krushnachandra 1 Pérez-Fernández, Raúl 1 Persson, Per-Olof 1 Pryporova, Olga 1 Renegar, James 1 Sánchez-Reyes, Javier 1 Spasov, Steven 1 Tomkinson, M. J. 1 Verdú, Gumersindo 1 Zalik, Richard A. all top 5 Serials 30 Linear Algebra and its Applications 21 Journal of Computational and Applied Mathematics 18 Computer Aided Geometric Design 15 Advances in Computational Mathematics 13 Numerical Linear Algebra with Applications 11 Applied Mathematics and Computation 10 Journal of Approximation Theory 10 Numerical Algorithms 9 SIAM Journal on Matrix Analysis and Applications 6 Numerische Mathematik 6 ELA. The Electronic Journal of Linear Algebra 5 Linear and Multilinear Algebra 5 BIT 5 Applied Numerical Mathematics 5 Applied Mathematics Letters 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Mathematics of Computation 4 Calcolo 3 Computing 3 Mathematische Nachrichten 3 SIAM Journal on Numerical Analysis 2 Computers & Mathematics with Applications 2 Archiv der Mathematik 2 Rendiconti del Seminario Matematico della Università di Padova 2 Constructive Approximation 2 Publicacions Matemàtiques 2 Journal of Scientific Computing 2 International Journal of Computer Mathematics 2 SIAM Journal on Scientific Computing 1 Communications in Algebra 1 IMA Journal of Numerical Analysis 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 ACM Transactions on Mathematical Software 1 Journal of Algebra 1 Manuscripta Mathematica 1 Proceedings of the American Mathematical Society 1 Acta Mathematica Hungarica 1 Optimization 1 Journal of the Australian Mathematical Society. Series A 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Mathematical Programming. Series A. Series B 1 Applied and Computational Harmonic Analysis 1 Computational and Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Annals of Numerical Mathematics 1 East Journal on Approximations 1 Journal of Mathematical Chemistry 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales (España) 1 La Gaceta de la Real Sociedad Matemática Española 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 Communications on Pure and Applied Analysis 1 Central European Journal of Mathematics 1 International Journal of Numerical Analysis and Modeling 1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics 1 S\(\vec{\text{e}}\)MA Journal 1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 1 Applied Mathematics and Nonlinear Sciences all top 5 Fields 204 Numerical analysis (65-XX) 116 Linear and multilinear algebra; matrix theory (15-XX) 67 Approximations and expansions (41-XX) 15 Group theory and generalizations (20-XX) 13 Computer science (68-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Operations research, mathematical programming (90-XX) 11 Special functions (33-XX) 10 Real functions (26-XX) 3 Combinatorics (05-XX) 3 Functions of a complex variable (30-XX) 2 Field theory and polynomials (12-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 230 Publications have been cited 2,422 times in 911 Documents Cited by ▼ Year ▼ Total positivity and Neville elimination. Zbl 0749.15010 Gasca, M.; Peña, J. M. 127 1992 Shape preserving representations and optimality of the Bernstein basis. Zbl 0832.41013 Carnicer, J. M.; Peña, J. M. 95 1993 Shape preserving representations in computer aided geometric design. Zbl 1005.68163 89 1999 On factorizations of totally positive matrices. Zbl 0891.15017 Gasca, M.; Peña, J. M. 70 1996 Shape preserving alternatives to the rational Bézier model. Zbl 0972.68157 Mainar, E.; Peña, J. M.; Sánchez-Reyes, J. 66 2001 A matricial description of Neville elimination with applications to total positivity. Zbl 0804.65028 Gasca, M.; Peña, J. M. 65 1994 Local decomposition of refinable spaces and wavelets. Zbl 0859.42025 Carnicer, J. M.; Dahmen, W.; Peña, J. M. 57 1996 A class of \(P\)-matrices with applications to the localization of the eigenvalues of a real matrix. Zbl 0986.15015 Peña, J. M. 56 2001 Critical length for design purposes and extended Chebyshev spaces. Zbl 1061.41004 Carnicer, J. M.; Mainar, E.; Peña, J. M. 56 2004 Totally positive bases for shape preserving curve design and optimality of \(B\)-splines. Zbl 0827.65018 Carnicer, J. M.; Peña, J. M. 51 1994 Error bounds for linear complementarity problems for \(B\)-matrices. Zbl 1179.90230 García-Esnaola, M.; Peña, J. M. 50 2009 Total positivity, \(QR\) factorization, and Neville elimination. Zbl 0788.65052 Gasca, M.; Peña, J. M. 44 1993 A comparison of error bounds for linear complementarity problems of \(H\)-matrices. Zbl 1195.65077 García-Esnaola, M.; Peña, J. M. 40 2010 Total positivity and optimal bases. Zbl 0892.15002 Carnicer, J. M.; Peña, J. M. 39 1996 Shape preserving representations for trigonometric polynomial curves. Zbl 0900.68417 Penã, J. M. 39 1997 Error bounds for linear complementarity problems of Nekrasov matrices. Zbl 1338.90406 García-Esnaola, Marta; Peña, Juan Manuel 35 2014 On an alternative to Gerschgorin circles and ovals of Cassini. Zbl 1032.15014 Peña, J. M. 33 2003 Error bounds for linear complementarity problems involving \(B^S\)-matrices. Zbl 1247.90265 García-Esnaola, M.; Peña, J. M. 29 2012 Totally positive bases for shape preserving curve design and optimality of B-splines. Zbl 0875.68828 Carnicer, J. M.; Penã, J. M. 26 1994 Accurate computations with collocation matrices of \(q\)-Bernstein polynomials. Zbl 1319.65025 Delgado, Jorge; Peña, J. M. 25 2015 B-Nekrasov matrices and error bounds for linear complementarity problems. Zbl 1342.90205 García-Esnaola, M.; Peña, J. M. 25 2016 Almost strictly totally positive matrices. Zbl 0752.15016 Gasca, M.; Micchelli, Charles A.; Peña, J. M. 24 1992 Error bounds for the linear complementarity problem with a \(\Sigma \)-SDD matrix. Zbl 1261.90064 García-Esnaola, M.; Peña, J. M. 23 2013 On the optimal stability of bases of univariate functions. Zbl 1004.65020 Peña, J. M. 22 2002 A general class of Bernstein-like bases. Zbl 1152.65408 Mainar, E.; Peña, J. M. 22 2007 Backward error analysis of Neville elimination. Zbl 0870.65021 Alonso, P.; Gasca, M.; Peña, J. M. 22 1997 Factorizations of Cauchy-Vandermonde matrices. Zbl 0935.65017 Martínez, J. J.; Peña, J. M. 21 1998 Corner cutting algorithms associated with optimal shape preserving representations. Zbl 0997.65025 Mainar, E.; Peña, J. M. 21 1999 Progressive iterative approximation and bases with the fastest convergence rates. Zbl 1171.65319 Delgado, J.; Peña, J. M. 21 2007 Computing approximate solutions for convex conic systems of constraints. Zbl 1002.90039 Peña, J.; Renegar, J. 19 2000 Accurate computations with collocation matrices of rational bases. Zbl 1432.65023 Delgado, J.; Peña, J. M. 19 2013 On the characterization of almost strictly totally positive matrices. Zbl 0837.15018 Gasca, M.; Peña, J. M. 19 1995 On nonsingular sign regular matrices. Zbl 1025.15038 Peña, J. M. 18 2003 Convexity of rational curves and total positivity. Zbl 0853.65019 Carnicer, J. M.; García-Esnaola, M.; Peña, J. M. 18 1996 Optimally stable multivariate bases. Zbl 1041.65017 Lyche, T.; Peña, J. M. 18 2004 A test for strict sign-regularity. Zbl 0796.65060 Gasca, M.; Peña, J. M. 17 1994 A shape preserving representation with an evaluation algorithm of linear complexity. Zbl 1069.65550 Delgado, J.; Peña, J. M. 17 2003 Optimal bases for a class of mixed spaces and their associated spline spaces. Zbl 1189.41005 Mainar, E.; Peña, J. M. 17 2010 Error analysis of corner cutting algorithms. Zbl 0964.65008 Mainar, E.; Peña, J. M. 16 1999 On the multivariate Horner scheme. Zbl 0961.65007 Peña, J. M. 16 2000 Conditioning and accurate computations with Pascal matrices. Zbl 1291.65133 Alonso, Pedro; Delgado, Jorge; Gallego, Rafael; Peña, Juan Manuel 16 2013 Optimal stability of the Lagrange formula and conditioning of the Newton formula. Zbl 1407.41002 Carnicer, J. M.; Khiar, Y.; Peña, J. M. 16 2019 A basis of C-Bézier splines with optimal properties. Zbl 0995.68135 Mainar, E.; Peña, J. M. 15 2002 B-splines and optimal stability. Zbl 0890.65011 Peña, J. M. 14 1997 Accurate bidiagonal decomposition of totally positive Cauchy-Vandermonde matrices and applications. Zbl 1355.65048 Marco, Ana; Martínez, José-Javier; Peña, Juan Manuel 14 2017 Sign regular matrices and Neville elimination. Zbl 1116.65033 Cortes, V.; Peña, J. M. 14 2007 Minimal non-CC-groups. Zbl 0644.20025 Otal, Javier; Peña, Juan Manuel 13 1988 Infinite locally finite groups of type PSL(2,K) or Sz(K) are not minimal under certain conditions. Zbl 0649.20036 Otal, Javier; Peña, Juan Manuel 13 1988 LDU decompositions with \(L\) and \(U\) well conditioned. Zbl 1083.65033 Peña, J. M. 13 2004 Accurate computations with Lupaş matrices. Zbl 1411.65032 Delgado, Jorge; Peña, J. M. 12 2017 On the characterization of almost strictly sign regular matrices. Zbl 1297.65028 Alonso, Pedro; Peña, J. M.; Serrano, María Luisa 12 2015 Accurate computations of matrices with bidiagonal decomposition using methods for totally positive matrices. Zbl 1313.65043 Barreras, Alvaro; Peña, J. M. 12 2013 Scaled pivoting in Gauss and Neville elimination for totally positive systems. Zbl 0796.65022 Gasca, M.; Peña, J. M. 12 1993 Least supported bases and local linear independence. Zbl 0791.65006 Carnicer, J. M.; Peña, J. M. 12 1994 Characterizations and decompositions of almost strictly positive matrices. Zbl 1109.65029 Gasca, M.; Peña, J. M 12 2006 Accurate algorithms for Bessel matrices. Zbl 1418.65038 Delgado, Jorge; Orera, Héctor; Peña, J. M. 11 2019 Fast algorithms of Björck-Pereyra type for solving Cauchy-Vandermonde linear systems. Zbl 0898.65011 Martínez, J. J.; Peña, J. M. 11 1998 \(M\)-matrices whose inverses are totally positive. Zbl 0827.15022 Peña, J. M. 11 1995 Optimal conditioning of Bernstein collocation matrices. Zbl 1213.65072 Delgado, Jorge; Peña, J. M. 11 2010 Numerical evaluation of the \(p\)th derivative of Jacobi series. Zbl 1018.65031 Barrio, R.; Peña, J. M. 10 2002 Monotonicity preservation on triangles. Zbl 0954.41004 Floater, Michael S.; Peña, J. M. 10 2000 Monotonicity preserving representations. Zbl 0813.65028 Carnicer, J. M.; Peña, J. M. 10 1994 Backward stability of a pivoting strategy for sign-regular linear systems. Zbl 0893.65013 Peña, J. M. 10 1997 On transforming a Tchebycheff system into a strictly totally positive system. Zbl 0827.41019 Carnicer, J. M.; Peña, J. M. 10 1995 Eigenvalue localization refinements for matrices related to positivity. Zbl 1238.65026 Cvetković, Lj.; Kostić, V.; Peña, J. M. 10 2011 On the progressive iteration approximation property and alternative iterations. Zbl 1244.65046 Carnicer, J. M.; Delgado, J.; Peña, J. M. 10 2011 A corner cutting algorithm for evaluating rational Bézier surfaces and the optimal stability of the basis. Zbl 1187.65014 Delgado, Jorge; Peña, J. M. 10 2007 A stable test for strict sign regularity. Zbl 1198.65055 Cortés, V.; Peña, J. M. 10 2008 On the asymptotic optimality of error bounds for some linear complementarity problems. Zbl 1410.90214 García-Esnaola, M.; Peña, J. M. 9 2019 Accurate computations with Laguerre matrices. Zbl 1513.15026 Delgado, Jorge; Orera, Héctor; Peña, Juan Manuel 9 2019 Strictly totally positive systems. Zbl 0903.41015 Carnicer, J. M.; Peña, J. M.; Zalik, R. A. 9 1998 Matrices with sign consistency of a given order. Zbl 0837.15021 Peña, J. M. 9 1995 Almost strict total positivity and a class of Hurwitz polynomials. Zbl 1072.15028 Dimitrov, Dimitar K.; Peña, Juan Manuel 9 2005 Running relative error for the evaluation of polynomials. Zbl 1202.65061 Delgado, Jorge; Peña, J. M. 9 2009 Shape preservation regions for six-dimensional spaces. Zbl 1120.65014 Carnicer, J. M.; Mainar, E.; Peña, J. M. 9 2007 \(B_{\pi}^R\)-matrices and error bounds for linear complementarity problems. Zbl 1373.90162 García-Esnaola, M.; Peña, J. M. 8 2017 On the critical lengths of cycloidal spaces. Zbl 1315.41001 Carnicer, J. M.; Mainar, E.; Peña, J. M. 8 2014 Spaces with almost strictly totally positive bases. Zbl 0821.41023 Carnicer, J. M.; Peña, J. M. 8 1994 On the generalized Ball bases. Zbl 1095.65013 Delgado, Jorge; Peña, Juan Manuel 8 2006 Fast and accurate algorithms for Jacobi-Stirling matrices. Zbl 1336.65055 Delgado, Jorge; Peña, Juan Manuel 8 2014 Accurate computations with collocation and Wronskian matrices of Jacobi polynomials. Zbl 1468.65034 Mainar, E.; Peña, J. M.; Rubio, B. 8 2021 Growth factors of pivoting strategies associated with Neville elimination. Zbl 1218.65029 Alonso, Pedro; Delgado, Jorge; Gallego, Rafael; Peña, Juan Manuel 8 2011 Some classes of nonsingular matrices and applications. Zbl 1347.15012 Neumann, Michael; Peña, J. M.; Pryporova, Olga 8 2013 Critical lengths of cycloidal spaces are zeros of Bessel functions. Zbl 1382.41001 Carnicer, J. M.; Mainar, E.; Peña, J. M. 7 2017 On some zero-increasing operators. Zbl 0997.26008 Carnicer, J. M.; Peña, J. M.; Pinkus, A. 7 2002 On the multivariate Horner scheme. II: Running error analysis. Zbl 0984.65006 Peña, J. M.; Sauer, T. 7 2000 Tensor-product monotonicity preservation. Zbl 0914.65007 Floater, Michael S.; Peña, J. M. 7 1998 Representing circles with five control points. Zbl 1069.65509 Carnicer, J. M.; Mainar, E.; Peña, J. M. 7 2003 Exclusion and inclusion intervals for the real eigenvalues of positive matrices. Zbl 1082.15031 Peña, J. M. 7 2005 Basis conversions among univariate polynomial representations. Zbl 1055.65035 Barrio, Roberto; Peña, Juan Manuel 7 2004 Characterizations and stable tests for the Routh–Hurwitz conditions and for total positivity. Zbl 1068.15033 Peña, J. M. 7 2004 Characterizations of Jacobi sign regular matrices. Zbl 1232.15023 Barreras, Alvaro; Pena, J. M. 7 2012 Diagonal dominance, Schur complements and some classes of \(H\)-matrices and \(P\)-matrices. Zbl 1254.65057 Peña, Juan Manuel 7 2011 Generalized convexity preserving transformations. Zbl 0900.68404 Carnicer, J. M.; García-Esnaola, M.; Penã, J. M. 7 1996 Infinity norm bounds for the inverse of Nekrasov matrices using scaling matrices. Zbl 1429.65084 Orera, H.; Peña, J. M. 7 2019 Minimal sets alternative to minimal Geršgorin sets. Zbl 1195.15021 Cvetković, Lj.; Peña, J. M. 7 2010 Richardson method and totally nonnegative linear systems. Zbl 1208.65041 Carnicer, J. M.; Delgado, J.; Peña, J. M. 7 2010 Quadratic-cycloidal curves. Zbl 1043.65031 Mainar, E.; Peña, J. M. 7 2004 Pivoting strategies leading to diagonal dominance by rows. Zbl 0919.65015 Peña, J. M. 6 1998 Accurate computations with collocation matrices of a general class of bases. Zbl 1513.65051 Mainar, E.; Peña, J. M. 6 2018 Bidiagonal decompositions of Vandermonde-type matrices of arbitrary rank. Zbl 1512.65060 Delgado, Jorge; Koev, Plamen; Marco, Ana; Martínez, José-Javier; Peña, Juan Manuel; Persson, Per-Olof; Spasov, Steven 1 2023 An evaluation algorithm for \(q\)-Bézier triangular patches formed by convex combinations. Zbl 07711022 Delgado, J.; Orera, H.; Peña, J. M. 1 2023 Accurate computations with matrices related to bases \(\{t^ie^{\lambda t}\}\). Zbl 1492.65067 Mainar, E.; Peña, J. M.; Rubio, B. 3 2022 Accurate computations with Gram and Wronskian matrices of geometric and Poisson bases. Zbl 1492.65066 Mainar, E.; Peña, J. M.; Rubio, B. 3 2022 Inverse central ordering for the Newton interpolation formula. Zbl 1496.65013 Carnicer, J. M.; Khiar, Y.; Peña, J. M. 2 2022 Accurate and efficient computations with Wronskian matrices of Bernstein and related bases. Zbl 07511604 Mainar, Esmeralda; Peña, Juan M.; Rubio, Beatriz 1 2022 Total positivity and accurate computations with Gram matrices of Bernstein bases. Zbl 1503.65076 Mainar, E.; Peña, J. M.; Rubio, B. 1 2022 Accurate computations with collocation and Wronskian matrices of Jacobi polynomials. Zbl 1468.65034 Mainar, E.; Peña, J. M.; Rubio, B. 8 2021 Accurate computations with Wronskian matrices. Zbl 1469.65088 Mainar, E.; Peña, J. M.; Rubio, B. 5 2021 High relative accuracy with matrices of \(q\)-integers. Zbl 07478614 Delgado, Jorge; Orera, Héctor; Peña, Juan M. 1 2021 Optimal properties of tensor product of B-bases. Zbl 1524.15049 Delgado, Jorge; Orera, Héctor; Peña, J. M. 1 2021 Error bounds for linear complementarity problems of \(B_{\pi}^R\)-matrices. Zbl 1476.90329 Orera, Héctor; Peña, Juan Manuel 1 2021 Accurate bidiagonal decomposition and computations with generalized Pascal matrices. Zbl 1461.65045 Delgado, J.; Orera, H.; Peña, J. M. 1 2021 Stability properties of disk polynomials. Zbl 1464.41002 Carnicer, Jésus Miguel; Mainar, Esmeralda; Peña, Juan Manuel 1 2021 Accurate bidiagonal decomposition of collocation matrices of weighted \(\varphi\)-transformed systems. Zbl 07217202 Mainar, Esmeralda; Peña, Juan Manuel; Rubio, Beatriz 3 2020 Evaluation and subdivision algorithms for general classes of totally positive rational bases. Zbl 1505.65080 Mainar, E.; Peña, J. M.; Rubio, B. 3 2020 Extremal and optimal properties of B-bases collocation matrices. Zbl 1448.65031 Delgado, Jorge; Peña, J. M. 2 2020 Optimal stability of the Lagrange formula and conditioning of the Newton formula. Zbl 1407.41002 Carnicer, J. M.; Khiar, Y.; Peña, J. M. 16 2019 Accurate algorithms for Bessel matrices. Zbl 1418.65038 Delgado, Jorge; Orera, Héctor; Peña, J. M. 11 2019 On the asymptotic optimality of error bounds for some linear complementarity problems. Zbl 1410.90214 García-Esnaola, M.; Peña, J. M. 9 2019 Accurate computations with Laguerre matrices. Zbl 1513.15026 Delgado, Jorge; Orera, Héctor; Peña, Juan Manuel 9 2019 Infinity norm bounds for the inverse of Nekrasov matrices using scaling matrices. Zbl 1429.65084 Orera, H.; Peña, J. M. 7 2019 Combined matrices of almost strictly sign regular matrices. Zbl 1415.65066 Alonso, P.; Peña, J. M.; Serrano, M. L. 5 2019 Central orderings for the Newton interpolation formula. Zbl 1416.41001 Carnicer, J. M.; Khiar, Y.; Peña, J. M. 5 2019 Comparing pivoting strategies for almost strictly sign regular matrices. Zbl 1415.65065 Alonso, P.; Peña, J. M.; Serrano, M. L. 3 2019 Conditioning of polynomial Fourier sums. Zbl 1420.65061 Carnicer, J. M.; Khiar, Y.; Peña, J. M. 3 2019 \(B_\pi^R\)-tensors. Zbl 1420.15018 Orera, H.; Peña, J. M. 2 2019 SVD update methods for large matrices and applications. Zbl 1403.65021 Peña, Juan Manuel; Sauer, Tomas 2 2019 Accurate inverses of Nekrasov \(Z\)-matrices. Zbl 1414.15045 Orera, H.; Peña, J. M. 1 2019 Tridiagonal M-matrices whose inverse is tridiagonal and related pentadiagonal matrices. Zbl 1423.15005 Barreras, A.; Peña, J. M. 1 2019 Optimal interval length for the collocation of the Newton interpolation basis. Zbl 1429.41002 Carnicer, J. M.; Khiar, Y.; Peña, J. M. 1 2019 Accurate computations with collocation matrices of a general class of bases. Zbl 1513.65051 Mainar, E.; Peña, J. M. 6 2018 Accurate bidiagonal decomposition of totally positive Cauchy-Vandermonde matrices and applications. Zbl 1355.65048 Marco, Ana; Martínez, José-Javier; Peña, Juan Manuel 14 2017 Accurate computations with Lupaş matrices. Zbl 1411.65032 Delgado, Jorge; Peña, J. M. 12 2017 \(B_{\pi}^R\)-matrices and error bounds for linear complementarity problems. Zbl 1373.90162 García-Esnaola, M.; Peña, J. M. 8 2017 Critical lengths of cycloidal spaces are zeros of Bessel functions. Zbl 1382.41001 Carnicer, J. M.; Mainar, E.; Peña, J. M. 7 2017 QR decomposition of almost strictly sign regular matrices. Zbl 1357.65034 Alonso, P.; Peña, J. M.; Serrano, M. L. 3 2017 Backward stability with almost strictly sign regular matrices. Zbl 1364.65064 Alonso, P.; Peña, J. M.; Serrano, M. L. 2 2017 B-Nekrasov matrices and error bounds for linear complementarity problems. Zbl 1342.90205 García-Esnaola, M.; Peña, J. M. 25 2016 Greville abscissae of totally positive bases. Zbl 1366.65015 Carnicer, J. M.; Mainar, E.; Peña, J. M. 4 2016 Algorithm 960: POLYNOMIAL: an object-oriented Matlab library of fast and efficient algorithms for polynomials. Zbl 1369.65021 Delgado, Jorge; Peña, Juan Manuel 4 2016 Characterizations of M-banded ASSR matrices. Zbl 1401.15034 Alonso, P.; Peña, J. M.; Serrano, M. L. 4 2016 Almost strictly sign regular matrices and Neville elimination with two-determinant pivoting. Zbl 1410.65076 Alonso, P.; Peña, J. M.; Serrano, M. L. 3 2016 Factorization of Vandermonde matrices and the Newton formula. 2nd edition. Zbl 1351.65019 Carnicer, Jesús; Khiar, Yasmina; Peña, Juan Manuel 2 2016 Accurate and fast computations with positive extended Schoenmakers-Coffey matrices. Zbl 1424.65020 Delgado, Jorge; Peña, Guillermo; Peña, Juan Manuel 2 2016 Optimal Gersgorin-style estimation of the largest singular value. II. Zbl 1367.65055 Johnson, Charles R.; Peña, J. M.; Szulc, Tomasz 1 2016 A matrix approach to the Newton formula and divided differences. Zbl 06981852 Carnicer, J. M.; Khiar, Y.; Peña, J. M. 1 2016 Accurate computations with collocation matrices of \(q\)-Bernstein polynomials. Zbl 1319.65025 Delgado, Jorge; Peña, J. M. 25 2015 On the characterization of almost strictly sign regular matrices. Zbl 1297.65028 Alonso, Pedro; Peña, J. M.; Serrano, María Luisa 12 2015 On tridiagonal sign regular matrices and generalizations. Zbl 1326.15047 Barreras, Álvaro; Peña, Juan Manuel 5 2015 Eventually SDD matrices and eigenvalue localization. Zbl 1338.15064 Cvetković, Lj.; Erić, M.; Peña, J. M. 5 2015 Almost strictly totally negative matrices: an algorithmic characterization. Zbl 1297.65027 Alonso, Pedro; Peña, J. M.; Serrano, María Luisa 4 2015 Accurate evaluation of Bézier curves and surfaces and the Bernstein-Fourier algorithm. Zbl 1410.65047 Delgado, Jorge; Peña, J. M. 2 2015 Error bounds for linear complementarity problems of Nekrasov matrices. Zbl 1338.90406 García-Esnaola, Marta; Peña, Juan Manuel 35 2014 On the critical lengths of cycloidal spaces. Zbl 1315.41001 Carnicer, J. M.; Mainar, E.; Peña, J. M. 8 2014 Fast and accurate algorithms for Jacobi-Stirling matrices. Zbl 1336.65055 Delgado, Jorge; Peña, Juan Manuel 8 2014 On the extension of some total positivity inequalities. Zbl 1286.15024 Barreras, Alvaro; Peña, J. M. 2 2014 An optimal test for almost strict total positivity. Zbl 1321.65062 Peña, J. M. 1 2014 Accurate and efficient \(LDU\) decomposition of almost diagonally dominant \(Z\)-matrices. Zbl 1298.65045 Barreras, Alvaro; Peña, J. M. 1 2014 Interpolation on cycloidal spaces. Zbl 1301.41002 Carnicer, J. M.; Mainar, E.; Peña, J. M. 1 2014 Matrices with bidiagonal decomposition, accurate computations and corner cutting algorithms. Zbl 1317.65059 Barreras, A.; Peña, J. M. 1 2014 Eigenvalue localization and neville elimination. Zbl 1334.15007 Peña, J. M. 1 2014 Error bounds for the linear complementarity problem with a \(\Sigma \)-SDD matrix. Zbl 1261.90064 García-Esnaola, M.; Peña, J. M. 23 2013 Accurate computations with collocation matrices of rational bases. Zbl 1432.65023 Delgado, J.; Peña, J. M. 19 2013 Conditioning and accurate computations with Pascal matrices. Zbl 1291.65133 Alonso, Pedro; Delgado, Jorge; Gallego, Rafael; Peña, Juan Manuel 16 2013 Accurate computations of matrices with bidiagonal decomposition using methods for totally positive matrices. Zbl 1313.65043 Barreras, Alvaro; Peña, J. M. 12 2013 Some classes of nonsingular matrices and applications. Zbl 1347.15012 Neumann, Michael; Peña, J. M.; Pryporova, Olga 8 2013 Eigenvalue localization and pivoting strategies for Gaussian elimination. Zbl 1291.65131 Peña, J. M. 4 2013 Tests for the recognition of total positivity. Zbl 1273.65042 Peña, J. M. 4 2013 On the evaluation of rational triangular Bézier surfaces and the optimal stability of the basis. Zbl 1279.65021 Delgado, Jorge; Peña, Juan Manuel 3 2013 Richardson’s iterative method for surface interpolation. Zbl 1266.65031 Carnicer, J. M.; Delgado, J.; Peña, J. M. 1 2013 Error bounds for linear complementarity problems involving \(B^S\)-matrices. Zbl 1247.90265 García-Esnaola, M.; Peña, J. M. 29 2012 Characterizations of Jacobi sign regular matrices. Zbl 1232.15023 Barreras, Alvaro; Pena, J. M. 7 2012 Accurate and efficient LDU decomposition of diagonally dominant M-matrices. Zbl 1250.65047 Barreras, Alvaro; Pena, J. M. 5 2012 Bidiagonal decompositions, minors and applications. Zbl 1251.15013 Barreras, Alvaro; Pena, J. M. 4 2012 Optimal Gersgorin-style estimation of the singular value. Zbl 1250.65054 Johnson, Ch. R.; Pena, J. M.; Szulc, T. 1 2012 Eigenvalue localization refinements for matrices related to positivity. Zbl 1238.65026 Cvetković, Lj.; Kostić, V.; Peña, J. M. 10 2011 On the progressive iteration approximation property and alternative iterations. Zbl 1244.65046 Carnicer, J. M.; Delgado, J.; Peña, J. M. 10 2011 Growth factors of pivoting strategies associated with Neville elimination. Zbl 1218.65029 Alonso, Pedro; Delgado, Jorge; Gallego, Rafael; Peña, Juan Manuel 8 2011 Diagonal dominance, Schur complements and some classes of \(H\)-matrices and \(P\)-matrices. Zbl 1254.65057 Peña, Juan Manuel 7 2011 Running error for the evaluation of rational Bézier surfaces through a robust algorithm. Zbl 1211.65021 Delgado, J.; Peña, J. M. 2 2011 Loewner matrix ordering in estimation of the smallest singular value. Zbl 1221.65099 Pena, J. M.; Szulc, T. 2 2011 A comparison of error bounds for linear complementarity problems of \(H\)-matrices. Zbl 1195.65077 García-Esnaola, M.; Peña, J. M. 40 2010 Optimal bases for a class of mixed spaces and their associated spline spaces. Zbl 1189.41005 Mainar, E.; Peña, J. M. 17 2010 Optimal conditioning of Bernstein collocation matrices. Zbl 1213.65072 Delgado, Jorge; Peña, J. M. 11 2010 Minimal sets alternative to minimal Geršgorin sets. Zbl 1195.15021 Cvetković, Lj.; Peña, J. M. 7 2010 Richardson method and totally nonnegative linear systems. Zbl 1208.65041 Carnicer, J. M.; Delgado, J.; Peña, J. M. 7 2010 A collection of examples where Neville elimination outperforms Gaussian elimination. Zbl 1196.65062 Alonso, Pedro; Delgado, Jorge; Gallego, Rafael; Peña, Juan Manuel 6 2010 Three term recurrence for the evaluation of multivariate orthogonal polynomials. Zbl 1190.33011 Barrio, Roberto; Peña, Juan Manuel; Sauer, Tomas 5 2010 Running error for the evaluation of rational Bézier surfaces. Zbl 1204.65015 Delgado, J.; Peña, J. M. 3 2010 A comparison of different progressive iteration approximation methods. Zbl 1274.65034 Delgado, Jorge; Peña, Juan Manuel 2 2010 Factorizations of totally negative matrices. Zbl 1203.15010 Cortés, V.; Peña, J. M. 2 2010 Monotonicity preserving representations of non-polynomial surfaces. Zbl 1186.65021 Mainar, E.; Peña, J. M. 1 2010 Required nonzero patterns for nonsingular sign regular matrices. Zbl 1195.15033 Cortes, V.; Peña, J. M. 1 2010 Neville elimination: An efficient algorithm with application to chemistry. Zbl 1196.92074 Alonso, P.; Delgado, J.; Gallego, R.; Peña, J. M. 1 2010 Error bounds for linear complementarity problems for \(B\)-matrices. Zbl 1179.90230 García-Esnaola, M.; Peña, J. M. 50 2009 Running relative error for the evaluation of polynomials. Zbl 1202.65061 Delgado, Jorge; Peña, J. M. 9 2009 Iterative refinement for Neville elimination. Zbl 1159.65029 Alonso, P.; Delgado, J.; Gallego, R.; Peña, J. M. 5 2009 Convexity preserving scattered data interpolation using Powell-Sabin elements. Zbl 1205.65057 Carnicer, J. M.; Goodman, T. N. T.; Peña, J. M. 5 2009 Eigenvalue bounds for some classes of \(P\)-matrices. Zbl 1224.15040 Peña, J. M. 4 2009 ...and 130 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 932 Authors 174 Peña, Juan Manuel 37 Delgado, Jorge F. M. 36 Carnicer, Jésus Miguel 31 Mainar, Esmeralda 28 Alonso, Pedro 28 Mazure, Marie-Laurence 23 Li, Chaoqian 18 Li, Yaotang 16 Manni, Carla 16 Martínez, José-Javier 14 Han, Xuli 14 Marco García, Ana 14 Wang, Guozhao 13 Gao, Lei 13 Serrano, María Luisa 13 Speleers, Hendrik 12 Garcia Esnaola, Marta 12 Otal, Javier 11 Garloff, Jürgen 11 Huang, Rong 10 Liu, Jianzhou 10 Orera, Héctor 10 Rubio, Beatriz 10 Seeger, Alberto 10 Trabelsi, Nadir 9 Barreras, Alvaro 9 Ghosh, Sujit Kumar 9 Hu, Gang 9 Zhu, Yuanpeng 8 Costantini, Paolo Giuseppe 8 Dai, Pingfan 8 Pelosi, Francesca 8 Qin, Xinqiang 7 Cantó, Rafael 7 Cortina, Raquel 7 Johnson, Charles Royal 7 Müller, Siegfried 7 Ranilla, José 7 Romani, Lucia 7 Sánchez-Reyes, Javier 7 Urbano, Ana María 6 Barrio, Roberto 6 Beccari, Carolina Vittoria 6 Casciola, Giulio 6 Cortés, Vanesa 6 Dahmen, Wolfgang A. 6 de Giovanni, Francesco 6 Fallat, Shaun M. 6 Gallego, Rafael 6 Gasca, Mariano 6 Gassó, Maria Teresa 6 Hussain, Malik Zawwar 6 Juhász, Imre 6 Khiar, Yasmina 6 Ostrovska, Sofiya 6 Qi, Liqun 6 Render, Hermann 6 Róth, ágoston 6 Sauer, Tomas 6 Viaña, Raquel 5 Cvetković, Ljiljana 5 Fiedler, Miroslav 5 Hussain, Maria 5 Iusem, Alfredo Noel 5 Koev, Plamen 5 Markham, Thomas L. 5 Oruç, Halil 5 Roman, Fabio 5 Sampoli, Maria Lucia 5 Santana, Máximo 5 Shen, Wanqiang 5 Wang, Guojin 5 Yang, Zhao 4 Adm, Mohammad 4 Ait-Haddou, Rachid 4 Aldaz, Jésus Munárriz 4 Bru, Rafael 4 Corless, Robert Malcolm 4 De Mari, Fausto 4 Díaz, Irene 4 Dixon, Martyn Russell 4 Giménez, Isabel 4 Goldman, Ronald N. 4 Goodman, Timothy N. T. 4 Gori, Laura 4 Hoffmann, Miklós 4 Huang, Ting-Zhu 4 Jiang, Hao 4 Jüttler, Bert 4 Kurdachenko, Leonid Andriĭovych 4 Liu, Chengzhi 4 Lu, Lizheng 4 Lyche, Tom 4 Peña, Javier F. 4 Pitolli, Francesca 4 Ricarte, Beatriz 4 Song, Yisheng 4 Titi, Jihad 4 Torregrosa Sanchez, Juan Ramón 4 Turan, Mehmet ...and 832 more Authors all top 5 Cited in 191 Serials 109 Linear Algebra and its Applications 93 Journal of Computational and Applied Mathematics 50 Applied Mathematics and Computation 48 Computer Aided Geometric Design 41 Numerical Algorithms 25 Advances in Computational Mathematics 21 Linear and Multilinear Algebra 20 Journal of Approximation Theory 17 Applied Numerical Mathematics 15 Mathematics of Computation 15 BIT 13 Journal of Mathematical Analysis and Applications 13 Computational and Applied Mathematics 12 Numerische Mathematik 11 Applied Mathematics Letters 10 Calcolo 10 Journal of Inequalities and Applications 8 Computers & Mathematics with Applications 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Journal of Algebra 7 Constructive Approximation 7 Journal of Scientific Computing 7 Applied and Computational Harmonic Analysis 6 Communications in Algebra 6 Computer Methods in Applied Mechanics and Engineering 6 Mathematics and Computers in Simulation 6 SIAM Journal on Matrix Analysis and Applications 6 ELA. The Electronic Journal of Linear Algebra 6 Mathematical Problems in Engineering 5 Journal of Computational Physics 5 International Journal of Computer Mathematics 5 SIAM Journal on Scientific Computing 5 Applied Mathematics. Series B (English Edition) 5 Numerical Linear Algebra with Applications 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Zhejiang University. Science A 4 Mathematical Methods in the Applied Sciences 4 Computational Statistics and Data Analysis 4 Mathematical Programming. Series A. Series B 4 Journal of Mathematical Sciences (New York) 4 Mediterranean Journal of Mathematics 3 Rocky Mountain Journal of Mathematics 3 Advances in Mathematics 3 Archiv der Mathematik 3 Journal of Optimization Theory and Applications 3 Journal of Statistical Planning and Inference 3 Mathematische Nachrichten 3 Proceedings of the American Mathematical Society 3 Rendiconti del Seminario Matematico della Università di Padova 3 Results in Mathematics 3 Ricerche di Matematica 3 Bulletin of the Iranian Mathematical Society 3 Optimization 3 Journal of Complexity 3 Journal of Mathematical Imaging and Vision 3 Journal of Mathematical Chemistry 3 Positivity 3 Foundations of Computational Mathematics 3 Journal of Applied Mathematics 3 Journal of Algebra and its Applications 3 International Journal of Wavelets, Multiresolution and Information Processing 3 Science in China. Series F 3 Operators and Matrices 3 S\(\vec{\text{e}}\)MA Journal 3 Open Mathematics 3 Advances in Group Theory and Applications 2 Communications in Mathematical Physics 2 ACM Transactions on Mathematical Software 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Biometrics 2 Computing 2 International Journal for Numerical Methods in Engineering 2 Journal of the American Statistical Association 2 Numerical Functional Analysis and Optimization 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Acta Applicandae Mathematicae 2 Numerical Methods for Partial Differential Equations 2 Annals of Operations Research 2 Japan Journal of Industrial and Applied Mathematics 2 Annales Mathématiques Blaise Pascal 2 Journal of the Egyptian Mathematical Society 2 Lifetime Data Analysis 2 Engineering Analysis with Boundary Elements 2 Optimization Methods & Software 2 Journal of Applied Statistics 2 Engineering Computations 2 Journal of Systems Science and Complexity 2 Journal of Industrial and Management Optimization 2 Mathematics in Computer Science 2 Frontiers of Mathematics in China 2 Optimization Letters 2 Journal of Mathematical Inequalities 2 Journal of Statistical Theory and Practice 2 International Journal of Group Theory 2 Special Matrices 2 International Journal of Applied and Computational Mathematics 2 AIMS Mathematics 1 Acta Mechanica 1 Bulletin of the Australian Mathematical Society ...and 91 more Serials all top 5 Cited in 46 Fields 561 Numerical analysis (65-XX) 269 Linear and multilinear algebra; matrix theory (15-XX) 177 Approximations and expansions (41-XX) 82 Operations research, mathematical programming (90-XX) 53 Harmonic analysis on Euclidean spaces (42-XX) 48 Group theory and generalizations (20-XX) 43 Computer science (68-XX) 33 Statistics (62-XX) 27 Partial differential equations (35-XX) 26 Special functions (33-XX) 22 Real functions (26-XX) 18 Combinatorics (05-XX) 17 Ordinary differential equations (34-XX) 16 Functions of a complex variable (30-XX) 14 Probability theory and stochastic processes (60-XX) 13 Operator theory (47-XX) 13 Convex and discrete geometry (52-XX) 13 Fluid mechanics (76-XX) 11 Systems theory; control (93-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Mechanics of deformable solids (74-XX) 7 Number theory (11-XX) 7 Field theory and polynomials (12-XX) 7 Algebraic geometry (14-XX) 7 Functional analysis (46-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Commutative algebra (13-XX) 4 Integral transforms, operational calculus (44-XX) 4 Geometry (51-XX) 4 Differential geometry (53-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 3 Difference and functional equations (39-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Information and communication theory, circuits (94-XX) 2 General algebraic systems (08-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Potential theory (31-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) Citations by Year