Edit Profile (opens in new tab) Carnicer, Jésus Miguel Co-Author Distance Author ID: carnicer.jesus-miguel Published as: Carnicer, J. M.; Carnicer, Jesús; Carnicer, Jesús M.; Carnicer, Jésus Miguel; Carnicer, Jesus M.; Carnicer, J. more...less Documents Indexed: 107 Publications since 1989 1 Contribution as Editor Co-Authors: 22 Co-Authors with 100 Joint Publications 797 Co-Co-Authors all top 5 Co-Authors 8 single-authored 57 Peña, Juan Manuel 18 Gasca, Mariano 17 Mainar, Esmeralda 12 Godés, Carmen 7 Khiar, Yasmina 6 Floater, Michael S. 5 Garcia Esnaola, Marta 5 Goodman, Timothy N. T. 5 Sauer, Tomas 4 Delgado, Jorge F. M. 3 Dahmen, Wolfgang A. 2 Pinkus, Allan M. 1 Bastero, Jesús 1 Brezinski, Claude 1 De Marchi, Stefano 1 Iske, Armin 1 Micchelli, Charles A. 1 Redivo-Zaglia, Michela 1 Seatzu, Sebastiano 1 Venturino, Ezio 1 Vianello, Marco 1 Zalik, Richard A. all top 5 Serials 13 Numerical Algorithms 12 Computer Aided Geometric Design 11 Advances in Computational Mathematics 9 Journal of Approximation Theory 4 BIT 4 Journal of Computational and Applied Mathematics 3 Calcolo 3 Constructive Approximation 3 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 2 Mathematische Nachrichten 2 Numerische Mathematik 2 Linear Algebra and its Applications 2 Jaen Journal on Approximation 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Mathematical Analysis and Applications 1 Linear and Multilinear Algebra 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Computing 1 Monatshefte für Mathematik 1 Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza. Serie 2 1 Acta Mathematica Hungarica 1 Approximation Theory and its Applications 1 Applied and Computational Harmonic Analysis 1 Annals of Numerical Mathematics 1 La Gaceta de la Real Sociedad Matemática Española 1 Dolomites Research Notes on Approximation all top 5 Fields 76 Approximations and expansions (41-XX) 67 Numerical analysis (65-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 9 Computer science (68-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 3 Commutative algebra (13-XX) 2 Real functions (26-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 86 Publications have been cited 750 times in 430 Documents Cited by ▼ Year ▼ Shape preserving representations and optimality of the Bernstein basis. Zbl 0832.41013Carnicer, J. M.; Peña, J. M. 90 1993 Local decomposition of refinable spaces and wavelets. Zbl 0859.42025Carnicer, J. M.; Dahmen, W.; Peña, J. M. 57 1996 Critical length for design purposes and extended Chebyshev spaces. Zbl 1061.41004Carnicer, J. M.; Mainar, E.; Peña, J. M. 54 2004 Totally positive bases for shape preserving curve design and optimality of \(B\)-splines. Zbl 0827.65018Carnicer, J. M.; Peña, J. M. 50 1994 Total positivity and optimal bases. Zbl 0892.15002Carnicer, J. M.; Peña, J. M. 38 1996 Totally positive bases for shape preserving curve design and optimality of B-splines. Zbl 0875.68828Carnicer, J. M.; Penã, J. M. 25 1994 A conjecture on multivariate polynomial interpolation. Zbl 1013.41001Carnicer, J. M.; Gasca, M. 25 2001 Planar configurations with simple Lagrange interpolation formulae. Zbl 1003.65008Carnicer, J. M.; Gasca, M. 19 2001 Generation of lattices of points for bivariate interpolation. Zbl 1068.41002Carnicer, J. M.; Gasca, M. 17 2005 Convexity of rational curves and total positivity. Zbl 0853.65019Carnicer, J. M.; García-Esnaola, M.; Peña, J. M. 17 1996 On Chung and Yao’s geometric characterization for bivariate polynomial interpolation. Zbl 1054.41001Carnicer, J. M.; Gasca, M. 15 2003 Convexity preserving interpolation and Powell-Sabin elements. Zbl 0760.65005Carnicer, Jésus Miguel; Dahmen, Wolfgang 15 1992 Optimal stability of the Lagrange formula and conditioning of the Newton formula. Zbl 1407.41002Carnicer, J. M.; Khiar, Y.; Peña, J. M. 15 2019 Interpolation lattices in several variables. Zbl 1087.41030Carnicer, J. M.; Gasca, M.; Sauer, T. 14 2006 Least supported bases and local linear independence. Zbl 0791.65006Carnicer, J. M.; Peña, J. M. 12 1994 Interpolation on lattices generated by cubic pencils. Zbl 1093.41003Carnicer, J. M.; Gasca, M. 12 2006 Geometric characterization and generalized principal lattices. Zbl 1116.41004Carnicer, Jesús; Godés, Carmen 11 2006 On transforming a Tchebycheff system into a strictly totally positive system. Zbl 0827.41019Carnicer, J. M.; Peña, J. M. 10 1995 On the progressive iteration approximation property and alternative iterations. Zbl 1244.65046Carnicer, J. M.; Delgado, J.; Peña, J. M. 10 2011 Monotonicity preserving representations. Zbl 0813.65028Carnicer, J. M.; Peña, J. M. 10 1994 Shape preservation regions for six-dimensional spaces. Zbl 1120.65014Carnicer, J. M.; Mainar, E.; Peña, J. M. 9 2007 Characterization of local strict convexity preserving interpolation methods by \(C^ 1\) functions. Zbl 0817.41009Carnicer, J. M.; Dahmen, Wolfgang 9 1994 Strictly totally positive systems. Zbl 0903.41015Carnicer, J. M.; Peña, J. M.; Zalik, R. A. 9 1998 Piecewise linear interpolants to Lagrange and Hermite convex scattered data. Zbl 0870.65004Carnicer, J. M.; Floater, M. S. 8 1996 Classification of bivariate configurations with simple Lagrange interpolation formulae. Zbl 1050.41003Carnicer, J. M.; Gasca, M. 8 2004 Spaces with almost strictly totally positive bases. Zbl 0821.41023Carnicer, J. M.; Peña, J. M. 8 1994 On the critical lengths of cycloidal spaces. Zbl 1315.41001Carnicer, J. M.; Mainar, E.; Peña, J. M. 8 2014 Representing circles with five control points. Zbl 1069.65509Carnicer, J. M.; Mainar, E.; Peña, J. M. 7 2003 Generalized convexity preserving transformations. Zbl 0900.68404Carnicer, J. M.; García-Esnaola, M.; Penã, J. M. 7 1996 On some zero-increasing operators. Zbl 0997.26008Carnicer, J. M.; Peña, J. M.; Pinkus, A. 7 2002 Lagrange interpolation on conics and cubics. Zbl 0995.68141Carnicer, J. M.; García-Esnaola, M. 7 2002 Weighted interpolation for equidistant nodes. Zbl 1200.65008Carnicer, Jesus M. 7 2010 Richardson method and totally nonnegative linear systems. Zbl 1208.65041Carnicer, J. M.; Delgado, J.; Peña, J. M. 7 2010 Linear convexity conditions for rectangular and triangular Bernstein-Bézier surfaces. Zbl 0894.68151Carnicer, J. M.; Floater, M. S.; Peña, J. M. 6 1997 Bivariate Hermite-Birkhoff polynomial interpolation with asymptotic conditions. Zbl 0966.65015Carnicer, J. M.; Gasca, M. 6 2000 Bidiagonalization of oscillatory matrices. Zbl 0887.15020Carnicer, J. M.; Peña, J. M. 5 1997 Generalized principal lattices and cubic pencils. Zbl 1124.41001Carnicer, J. M.; Godés, C. 5 2007 Geometric characterization of configurations with defect three. Zbl 1131.65008Carnicer, J. M.; Godés, C. 5 2007 Configurations of nodes with defects greater than three. Zbl 1183.41003Carnicer, J. M.; Godés, C. 5 2010 Multivariate convexity preserving interpolation by smooth functions. Zbl 0831.65007Carnicer, J. M. 5 1995 Interpolation on the disk. Zbl 1295.41003Carnicer, J. M.; Godés, C. 5 2014 Critical lengths of cycloidal spaces are zeros of Bessel functions. Zbl 1382.41001Carnicer, J. M.; Mainar, E.; Peña, J. M. 5 2017 Convexity preserving scattered data interpolation using Powell-Sabin elements. Zbl 1205.65057Carnicer, J. M.; Goodman, T. N. T.; Peña, J. M. 5 2009 Classification of sets satisfying the geometric characterization. Zbl 1173.41300Carnicer, J. M.; Godés, C. 4 2009 Aitken-Neville sets, principal lattices and divided differences. Zbl 1162.65003Carnicer, Jesús; Gasca, Mariano; Sauer, Tomas 4 2009 Central orderings for the Newton interpolation formula. Zbl 1416.41001Carnicer, J. M.; Khiar, Y.; Peña, J. M. 4 2019 Characterizations of the optimal Descartes’ rules of signs. Zbl 0892.26009Carnicer, J. M.; Peña, J. M. 3 1998 Tchebycheff spaces and total positivity. Zbl 0892.41016Carnicer, J. M.; Peña, J. M. 3 1996 Convex curves from convex control polygons. Zbl 0835.65010Carnicer, J. M.; García, M.; Peña, J. M. 3 1995 Evaluation of multivariate polynomials and their derivatives. Zbl 0684.65014Carnicer, J.; Gasca, M. 3 1990 Observations on interpolation by total degree polynomials in two variables. Zbl 1396.41003Carnicer, Jesús; Sauer, Tomas 3 2018 Conditioning of polynomial Fourier sums. Zbl 1420.65061Carnicer, J. M.; Khiar, Y.; Peña, J. M. 3 2019 Interpolation with symmetric polynomials. Zbl 1357.41001Carnicer, J. M.; Godés, C. 3 2017 Greville abscissae of totally positive bases. Zbl 1366.65015Carnicer, J. M.; Mainar, E.; Peña, J. M. 3 2016 A Marsden type identity for periodic trigonometric splines. Zbl 0796.41011Carnicer, J. M.; Peña, J. M. 2 1993 A unified framework for cubics and cycloids. Zbl 1043.65023Carnicer, J. M.; Mainar, E.; Peña, J. M. 2 2003 Dual Bézier curves and convexity preserving interpolation. Zbl 0769.65002Carnicer, J. M. 2 1992 A lower bound for the number of stages of an explicit continuous Runge- Kutta method to obtain convergence of given order. Zbl 0732.65066Carnicer, J. M. 2 1991 Cubic pencils of lines and bivariate interpolation. Zbl 1151.41001Carnicer, J. M.; Gasca, M. 2 2008 Sign consistency and shape properties. Zbl 0904.65021Carnicer, J. M. 2 1998 On zero-preserving linear transformations. Zbl 0995.41015Carnicer, J. M.; Peña, J. M.; Pinkus, A. 2 2002 A generalization of the variation diminishing property. Zbl 0837.15019Carnicer, J. M.; Goodman, T. N. T.; Peña, J. M. 2 1995 Bivariate polynomial interpolation with asymptotic conditions. Zbl 0949.41001Carnicer, J. M.; Gasca, M. 2 1998 Linear conditions for positive determinants. Zbl 0934.15006Carnicer, J. M.; Goodman, T. N. T.; Peña, J. M. 2 1999 Leibniz rules for multivariate divided differences. Zbl 1294.41002Carnicer, Jesús; Sauer, Tomas 2 2014 On systems of functions satisfying hodograph properties. Zbl 0965.65022Carnicer, J. M.; Floater, M. S.; Peña, J. M. 2 1997 Extensions of planar GC sets and Syzygy matrices. Zbl 1423.41001Carnicer, Jesús M.; Godés, Carmen 2 2019 Algorithms for convexity preserving interpolation of scattered data. Zbl 0869.65006Carnicer, J. M.; Floater, Mikael S. 1 1996 Asymptotic conditions for degree diminution along prescribed lines. Zbl 1026.41003Carnicer, J. M.; Gasca, M. 1 2003 Interpolation on cycloidal spaces. Zbl 1301.41002Carnicer, J. M.; Mainar, E.; Peña, J. M. 1 2014 The distance of a curve to its control polygon. Zbl 1051.65014Carnicer, J. M.; Floater, M. S.; Peña, J. M. 1 2002 A Newton approach to bivariate Hermite interpolation on generalized natural lattices. Zbl 1054.41002Carnicer, J. M.; Gasca, M. 1 2002 Roundoff errors for polynomial evaluation by a family of formulae. Zbl 1152.65019Carnicer, J. M.; Goodman, T. N. T.; Peña, J. M. 1 2008 Support and foundation of bases. Zbl 0893.41004Carnicer, J. M.; Goodman, T. N. T.; Peña, J. M. 1 1997 Global convexity of curves and polygons. Zbl 0910.68213Carnicer, J. M.; García-Esnaola, M. 1 1998 Bases with convexity preserving properties. Zbl 1273.41015Carnicer, J. M.; García-Esnaola, M.; Peña, J. M. 1 1996 Optimal basis of a space mixing trigonometric and hyperbolic functions. Zbl 1115.65309Carnicer, J. M.; Mainar, E.; Peña, J. M. 1 2006 Optimal interval length for the collocation of the Newton interpolation basis. Zbl 1429.41002Carnicer, J. M.; Khiar, Y.; Peña, J. M. 1 2019 Factorization of Vandermonde matrices and the Newton formula. 2nd edition. Zbl 1351.65019Carnicer, Jesús; Khiar, Yasmina; Peña, Juan Manuel 1 2016 On the evaluation of multivariate Lagrange formulae. Zbl 0694.41007Carnicer, Jesús M.; Gasca, Mariano 1 1989 Richardson’s iterative method for surface interpolation. Zbl 1266.65031Carnicer, J. M.; Delgado, J.; Peña, J. M. 1 2013 A matrix approach to the Newton formula and divided differences. Zbl 06981852Carnicer, J. M.; Khiar, Y.; Peña, J. M. 1 2016 Stability properties of disk polynomials. Zbl 1464.41002Carnicer, Jésus Miguel; Mainar, Esmeralda; Peña, Juan Manuel 1 2021 A Newton formula for generalized Berzolari-Radon sets. Zbl 1316.41002Carnicer, J. M.; Godés, C. 1 2015 Radon’s construction and matrix relations generating syzygies. Zbl 1440.41005Carnicer, Jesús M.; Godés, Carmen; Sauer, Tomas 1 2020 Inverse central ordering for the Newton interpolation formula. Zbl 1496.65013Carnicer, J. M.; Khiar, Y.; Peña, J. M. 1 2022 Inverse central ordering for the Newton interpolation formula. Zbl 1496.65013Carnicer, J. M.; Khiar, Y.; Peña, J. M. 1 2022 Stability properties of disk polynomials. Zbl 1464.41002Carnicer, Jésus Miguel; Mainar, Esmeralda; Peña, Juan Manuel 1 2021 Radon’s construction and matrix relations generating syzygies. Zbl 1440.41005Carnicer, Jesús M.; Godés, Carmen; Sauer, Tomas 1 2020 Optimal stability of the Lagrange formula and conditioning of the Newton formula. Zbl 1407.41002Carnicer, J. M.; Khiar, Y.; Peña, J. M. 15 2019 Central orderings for the Newton interpolation formula. Zbl 1416.41001Carnicer, J. M.; Khiar, Y.; Peña, J. M. 4 2019 Conditioning of polynomial Fourier sums. Zbl 1420.65061Carnicer, J. M.; Khiar, Y.; Peña, J. M. 3 2019 Extensions of planar GC sets and Syzygy matrices. Zbl 1423.41001Carnicer, Jesús M.; Godés, Carmen 2 2019 Optimal interval length for the collocation of the Newton interpolation basis. Zbl 1429.41002Carnicer, J. M.; Khiar, Y.; Peña, J. M. 1 2019 Observations on interpolation by total degree polynomials in two variables. Zbl 1396.41003Carnicer, Jesús; Sauer, Tomas 3 2018 Critical lengths of cycloidal spaces are zeros of Bessel functions. Zbl 1382.41001Carnicer, J. M.; Mainar, E.; Peña, J. M. 5 2017 Interpolation with symmetric polynomials. Zbl 1357.41001Carnicer, J. M.; Godés, C. 3 2017 Greville abscissae of totally positive bases. Zbl 1366.65015Carnicer, J. M.; Mainar, E.; Peña, J. M. 3 2016 Factorization of Vandermonde matrices and the Newton formula. 2nd edition. Zbl 1351.65019Carnicer, Jesús; Khiar, Yasmina; Peña, Juan Manuel 1 2016 A matrix approach to the Newton formula and divided differences. Zbl 06981852Carnicer, J. M.; Khiar, Y.; Peña, J. M. 1 2016 A Newton formula for generalized Berzolari-Radon sets. Zbl 1316.41002Carnicer, J. M.; Godés, C. 1 2015 On the critical lengths of cycloidal spaces. Zbl 1315.41001Carnicer, J. M.; Mainar, E.; Peña, J. M. 8 2014 Interpolation on the disk. Zbl 1295.41003Carnicer, J. M.; Godés, C. 5 2014 Leibniz rules for multivariate divided differences. Zbl 1294.41002Carnicer, Jesús; Sauer, Tomas 2 2014 Interpolation on cycloidal spaces. Zbl 1301.41002Carnicer, J. M.; Mainar, E.; Peña, J. M. 1 2014 Richardson’s iterative method for surface interpolation. Zbl 1266.65031Carnicer, J. M.; Delgado, J.; Peña, J. M. 1 2013 On the progressive iteration approximation property and alternative iterations. Zbl 1244.65046Carnicer, J. M.; Delgado, J.; Peña, J. M. 10 2011 Weighted interpolation for equidistant nodes. Zbl 1200.65008Carnicer, Jesus M. 7 2010 Richardson method and totally nonnegative linear systems. Zbl 1208.65041Carnicer, J. M.; Delgado, J.; Peña, J. M. 7 2010 Configurations of nodes with defects greater than three. Zbl 1183.41003Carnicer, J. M.; Godés, C. 5 2010 Convexity preserving scattered data interpolation using Powell-Sabin elements. Zbl 1205.65057Carnicer, J. M.; Goodman, T. N. T.; Peña, J. M. 5 2009 Classification of sets satisfying the geometric characterization. Zbl 1173.41300Carnicer, J. M.; Godés, C. 4 2009 Aitken-Neville sets, principal lattices and divided differences. Zbl 1162.65003Carnicer, Jesús; Gasca, Mariano; Sauer, Tomas 4 2009 Cubic pencils of lines and bivariate interpolation. Zbl 1151.41001Carnicer, J. M.; Gasca, M. 2 2008 Roundoff errors for polynomial evaluation by a family of formulae. Zbl 1152.65019Carnicer, J. M.; Goodman, T. N. T.; Peña, J. M. 1 2008 Shape preservation regions for six-dimensional spaces. Zbl 1120.65014Carnicer, J. M.; Mainar, E.; Peña, J. M. 9 2007 Generalized principal lattices and cubic pencils. Zbl 1124.41001Carnicer, J. M.; Godés, C. 5 2007 Geometric characterization of configurations with defect three. Zbl 1131.65008Carnicer, J. M.; Godés, C. 5 2007 Interpolation lattices in several variables. Zbl 1087.41030Carnicer, J. M.; Gasca, M.; Sauer, T. 14 2006 Interpolation on lattices generated by cubic pencils. Zbl 1093.41003Carnicer, J. M.; Gasca, M. 12 2006 Geometric characterization and generalized principal lattices. Zbl 1116.41004Carnicer, Jesús; Godés, Carmen 11 2006 Optimal basis of a space mixing trigonometric and hyperbolic functions. Zbl 1115.65309Carnicer, J. M.; Mainar, E.; Peña, J. M. 1 2006 Generation of lattices of points for bivariate interpolation. Zbl 1068.41002Carnicer, J. M.; Gasca, M. 17 2005 Critical length for design purposes and extended Chebyshev spaces. Zbl 1061.41004Carnicer, J. M.; Mainar, E.; Peña, J. M. 54 2004 Classification of bivariate configurations with simple Lagrange interpolation formulae. Zbl 1050.41003Carnicer, J. M.; Gasca, M. 8 2004 On Chung and Yao’s geometric characterization for bivariate polynomial interpolation. Zbl 1054.41001Carnicer, J. M.; Gasca, M. 15 2003 Representing circles with five control points. Zbl 1069.65509Carnicer, J. M.; Mainar, E.; Peña, J. M. 7 2003 A unified framework for cubics and cycloids. Zbl 1043.65023Carnicer, J. M.; Mainar, E.; Peña, J. M. 2 2003 Asymptotic conditions for degree diminution along prescribed lines. Zbl 1026.41003Carnicer, J. M.; Gasca, M. 1 2003 On some zero-increasing operators. Zbl 0997.26008Carnicer, J. M.; Peña, J. M.; Pinkus, A. 7 2002 Lagrange interpolation on conics and cubics. Zbl 0995.68141Carnicer, J. M.; García-Esnaola, M. 7 2002 On zero-preserving linear transformations. Zbl 0995.41015Carnicer, J. M.; Peña, J. M.; Pinkus, A. 2 2002 The distance of a curve to its control polygon. Zbl 1051.65014Carnicer, J. M.; Floater, M. S.; Peña, J. M. 1 2002 A Newton approach to bivariate Hermite interpolation on generalized natural lattices. Zbl 1054.41002Carnicer, J. M.; Gasca, M. 1 2002 A conjecture on multivariate polynomial interpolation. Zbl 1013.41001Carnicer, J. M.; Gasca, M. 25 2001 Planar configurations with simple Lagrange interpolation formulae. Zbl 1003.65008Carnicer, J. M.; Gasca, M. 19 2001 Bivariate Hermite-Birkhoff polynomial interpolation with asymptotic conditions. Zbl 0966.65015Carnicer, J. M.; Gasca, M. 6 2000 Linear conditions for positive determinants. Zbl 0934.15006Carnicer, J. M.; Goodman, T. N. T.; Peña, J. M. 2 1999 Strictly totally positive systems. Zbl 0903.41015Carnicer, J. M.; Peña, J. M.; Zalik, R. A. 9 1998 Characterizations of the optimal Descartes’ rules of signs. Zbl 0892.26009Carnicer, J. M.; Peña, J. M. 3 1998 Sign consistency and shape properties. Zbl 0904.65021Carnicer, J. M. 2 1998 Bivariate polynomial interpolation with asymptotic conditions. Zbl 0949.41001Carnicer, J. M.; Gasca, M. 2 1998 Global convexity of curves and polygons. Zbl 0910.68213Carnicer, J. M.; García-Esnaola, M. 1 1998 Linear convexity conditions for rectangular and triangular Bernstein-Bézier surfaces. Zbl 0894.68151Carnicer, J. M.; Floater, M. S.; Peña, J. M. 6 1997 Bidiagonalization of oscillatory matrices. Zbl 0887.15020Carnicer, J. M.; Peña, J. M. 5 1997 On systems of functions satisfying hodograph properties. Zbl 0965.65022Carnicer, J. M.; Floater, M. S.; Peña, J. M. 2 1997 Support and foundation of bases. Zbl 0893.41004Carnicer, J. M.; Goodman, T. N. T.; Peña, J. M. 1 1997 Local decomposition of refinable spaces and wavelets. Zbl 0859.42025Carnicer, J. M.; Dahmen, W.; Peña, J. M. 57 1996 Total positivity and optimal bases. Zbl 0892.15002Carnicer, J. M.; Peña, J. M. 38 1996 Convexity of rational curves and total positivity. Zbl 0853.65019Carnicer, J. M.; García-Esnaola, M.; Peña, J. M. 17 1996 Piecewise linear interpolants to Lagrange and Hermite convex scattered data. Zbl 0870.65004Carnicer, J. M.; Floater, M. S. 8 1996 Generalized convexity preserving transformations. Zbl 0900.68404Carnicer, J. M.; García-Esnaola, M.; Penã, J. M. 7 1996 Tchebycheff spaces and total positivity. Zbl 0892.41016Carnicer, J. M.; Peña, J. M. 3 1996 Algorithms for convexity preserving interpolation of scattered data. Zbl 0869.65006Carnicer, J. M.; Floater, Mikael S. 1 1996 Bases with convexity preserving properties. Zbl 1273.41015Carnicer, J. M.; García-Esnaola, M.; Peña, J. M. 1 1996 On transforming a Tchebycheff system into a strictly totally positive system. Zbl 0827.41019Carnicer, J. M.; Peña, J. M. 10 1995 Multivariate convexity preserving interpolation by smooth functions. Zbl 0831.65007Carnicer, J. M. 5 1995 Convex curves from convex control polygons. Zbl 0835.65010Carnicer, J. M.; García, M.; Peña, J. M. 3 1995 A generalization of the variation diminishing property. Zbl 0837.15019Carnicer, J. M.; Goodman, T. N. T.; Peña, J. M. 2 1995 Totally positive bases for shape preserving curve design and optimality of \(B\)-splines. Zbl 0827.65018Carnicer, J. M.; Peña, J. M. 50 1994 Totally positive bases for shape preserving curve design and optimality of B-splines. Zbl 0875.68828Carnicer, J. M.; Penã, J. M. 25 1994 Least supported bases and local linear independence. Zbl 0791.65006Carnicer, J. M.; Peña, J. M. 12 1994 Monotonicity preserving representations. Zbl 0813.65028Carnicer, J. M.; Peña, J. M. 10 1994 Characterization of local strict convexity preserving interpolation methods by \(C^ 1\) functions. Zbl 0817.41009Carnicer, J. M.; Dahmen, Wolfgang 9 1994 Spaces with almost strictly totally positive bases. Zbl 0821.41023Carnicer, J. M.; Peña, J. M. 8 1994 Shape preserving representations and optimality of the Bernstein basis. Zbl 0832.41013Carnicer, J. M.; Peña, J. M. 90 1993 A Marsden type identity for periodic trigonometric splines. Zbl 0796.41011Carnicer, J. M.; Peña, J. M. 2 1993 Convexity preserving interpolation and Powell-Sabin elements. Zbl 0760.65005Carnicer, Jésus Miguel; Dahmen, Wolfgang 15 1992 Dual Bézier curves and convexity preserving interpolation. Zbl 0769.65002Carnicer, J. M. 2 1992 A lower bound for the number of stages of an explicit continuous Runge- Kutta method to obtain convergence of given order. Zbl 0732.65066Carnicer, J. M. 2 1991 Evaluation of multivariate polynomials and their derivatives. Zbl 0684.65014Carnicer, J.; Gasca, M. 3 1990 On the evaluation of multivariate Lagrange formulae. Zbl 0694.41007Carnicer, Jesús M.; Gasca, Mariano 1 1989 all cited Publications top 5 cited Publications all top 5 Cited by 459 Authors 75 Peña, Juan Manuel 54 Carnicer, Jésus Miguel 28 Mazure, Marie-Laurence 23 Mainar, Esmeralda 18 Delgado, Jorge F. M. 12 Manni, Carla 11 Gasca, Mariano 9 Ghosh, Sujit Kumar 9 Godés, Carmen 9 Han, Xuli 9 Speleers, Hendrik 7 Martínez, José-Javier 7 Müller, Siegfried 7 Vitrih, Vito 6 Beccari, Carolina Vittoria 6 Casciola, Giulio 6 Dahmen, Wolfgang A. 6 Floater, Michael S. 6 Hakopian, Hakop A. 6 Marco García, Ana 6 Render, Hermann 6 Sauer, Tomas 6 Sbibih, Driss 6 Serghini, Abdelhafid 6 Tijini, Ahmed 6 Zhu, Yuanpeng 5 Costantini, Paolo Giuseppe 5 Garcia Esnaola, Marta 5 Khiar, Yasmina 5 Kozak, Jernej 5 Lei, Na 5 Pelosi, Francesca 5 Sánchez-Reyes, Javier 4 Ait-Haddou, Rachid 4 Aldaz, Jésus Munárriz 4 Goldman, Ronald N. 4 Goodman, Timothy N. T. 4 Gori, Laura 4 Jaklič, Gašper 4 Krajnc, Marjeta 4 Liu, Chengzhi 4 Lyche, Tom 4 Pitolli, Francesca 4 Roman, Fabio 4 Romani, Lucia 4 Rubio, Beatriz 4 Sablonnière, Paul 4 Sampoli, Maria Lucia 4 Shen, Wanqiang 4 Wang, Guozhao 4 Žagar, Emil 3 Amaratunga, Kevin S. 3 Barrera, Domingo 3 Borcea, Julius 3 Chai, Junjie 3 Corless, Robert Malcolm 3 de Boor, Carl 3 De Marchi, Stefano 3 Filasová, Anna 3 Jüttler, Bert 3 Kounchev, Ognyan Ivanov 3 Krokavec, Dusan 3 Lai, Mingjun 3 Orera, Héctor 3 Róth, ágoston 3 Saini, Laura 3 Urban, Karsten 3 Xia, Peng 3 Zhang, Renjiang 3 Zhu, Chungang 2 Bos, Len P. 2 Bracco, Cesare 2 Brilleaud, Martine 2 Bultheel, Adhemar François 2 Cao, Huanxin 2 Castrillon-Candas, Julio Enrique 2 Cattiaux-Huillard, Isabelle 2 Černá, Dana 2 Cohen, Albert 2 Cui, Lihong 2 Dahlke, Stephan 2 Daubechies, Ingrid Chantal 2 Davydov, Oleg V. 2 de Camargo, André Pierro 2 Ding, Jianhua 2 Eddargani, S. 2 Farouki, Rida T. 2 Finěk, Václav 2 Garloff, Jürgen 2 Harbrecht, Helmut 2 Hochmuth, Reinhard 2 Hormann, Kai 2 Hu, Gang 2 Huang, Rong 2 Hussain, Malik Zawwar 2 Hussain, Maria 2 Jetter, Kurt 2 Kunoth, Angela 2 Lamnii, Abdellah 2 Li, Ying ...and 359 more Authors all top 5 Cited in 113 Serials 60 Journal of Computational and Applied Mathematics 39 Computer Aided Geometric Design 25 Journal of Approximation Theory 25 Numerical Algorithms 23 Advances in Computational Mathematics 20 Applied Mathematics and Computation 16 Linear Algebra and its Applications 15 Applied Numerical Mathematics 12 BIT 10 Numerische Mathematik 9 Mathematics of Computation 7 Applied and Computational Harmonic Analysis 6 Calcolo 6 Constructive Approximation 6 Mathematical Problems in Engineering 5 Journal of Computational Physics 4 Computers & Mathematics with Applications 4 Journal of Mathematical Analysis and Applications 4 Mathematics and Computers in Simulation 4 Computational Statistics and Data Analysis 3 Computer Methods in Applied Mechanics and Engineering 3 SIAM Journal on Numerical Analysis 3 Applied Mathematics Letters 3 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Rocky Mountain Journal of Mathematics 2 Journal of Statistical Planning and Inference 2 Mathematische Nachrichten 2 Results in Mathematics 2 Acta Applicandae Mathematicae 2 Journal of Scientific Computing 2 SIAM Review 2 Applied Mathematics. Series B (English Edition) 2 Computational and Applied Mathematics 2 Lifetime Data Analysis 2 Engineering Analysis with Boundary Elements 2 Journal of Applied Statistics 2 Journal of Systems Science and Complexity 2 Journal of Applied Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 International Journal of Wavelets, Multiresolution and Information Processing 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Journal of Statistical Theory and Practice 1 Computers and Fluids 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics 1 Linear and Multilinear Algebra 1 Metrika 1 Arkiv för Matematik 1 ACM Transactions on Mathematical Software 1 Annals of the Institute of Statistical Mathematics 1 Biometrics 1 Demonstratio Mathematica 1 International Journal for Numerical Methods in Engineering 1 Journal of the American Statistical Association 1 Journal of Differential Equations 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quaestiones Mathematicae 1 SIAM Journal on Control and Optimization 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Optimal Control Applications & Methods 1 Statistics & Probability Letters 1 Optimization 1 Discrete & Computational Geometry 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Journal of Economic Dynamics & Control 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Integral Equations and Applications 1 Computational Statistics 1 Communications in Statistics. Simulation and Computation 1 European Journal of Operational Research 1 International Journal of Computer Mathematics 1 Mathematical Programming. Series A. Series B 1 Journal of Knot Theory and its Ramifications 1 SIAM Journal on Scientific Computing 1 Communications in Numerical Methods in Engineering 1 Journal of Mathematical Sciences (New York) 1 Numerical Linear Algebra with Applications 1 Journal of the Egyptian Mathematical Society 1 Economic Theory 1 The Journal of Fourier Analysis and Applications 1 ELA. The Electronic Journal of Linear Algebra 1 Positivity 1 Annals of Mathematics. Second Series 1 LMS Journal of Computation and Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Engineering Computations 1 La Gaceta de la Real Sociedad Matemática Española 1 Journal of Zhejiang University. Science 1 Foundations of Computational Mathematics 1 Journal of the Australian Mathematical Society 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Analysis in Theory and Applications 1 Mediterranean Journal of Mathematics 1 Acta Numerica 1 International Journal of Numerical Analysis and Modeling ...and 13 more Serials all top 5 Cited in 37 Fields 298 Numerical analysis (65-XX) 190 Approximations and expansions (41-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 32 Computer science (68-XX) 23 Partial differential equations (35-XX) 22 Statistics (62-XX) 12 Real functions (26-XX) 10 Special functions (33-XX) 10 Ordinary differential equations (34-XX) 10 Fluid mechanics (76-XX) 8 Functions of a complex variable (30-XX) 7 Operations research, mathematical programming (90-XX) 5 Field theory and polynomials (12-XX) 5 Operator theory (47-XX) 5 Geometry (51-XX) 5 Systems theory; control (93-XX) 4 Commutative algebra (13-XX) 4 Algebraic geometry (14-XX) 4 Mechanics of deformable solids (74-XX) 3 Combinatorics (05-XX) 3 Functional analysis (46-XX) 3 Probability theory and stochastic processes (60-XX) 2 History and biography (01-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Convex and discrete geometry (52-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year