Edit Profile (opens in new tab) Winkler, Joab R. Co-Author Distance Author ID: winkler.joab-r Published as: Winkler, Joab R.; Winkler, Joab; Winkler, J. R. more...less Documents Indexed: 51 Publications since 1969 3 Contributions as Editor Co-Authors: 19 Co-Authors with 25 Joint Publications 507 Co-Co-Authors all top 5 Co-Authors 27 single-authored 6 Bourne, Martin 5 Su, Yi 4 Hasan, Madina 3 Allan, John D. 3 Lao, Xin 2 Mitrouli, Marilena 2 Yang, Ning 1 Becker, Jochen 1 Bini, Dario Andrea 1 Davies, J. Brian 1 Gemignani, Luca 1 Goldman, Ronald N. 1 Halawani, Hanan 1 Knobloch, Eberhard 1 Koukouvinos, Christos 1 Lawrence, Neil D. 1 Louhivaara, Ilppo Simo 1 Martin, Ralph R. 1 Niranjan, Mahesan 1 Ragozin, David L. 1 Sabin, Malcolm A. 1 Yi, Su all top 5 Serials 12 Journal of Computational and Applied Mathematics 4 Applied Numerical Mathematics 3 Computer Aided Geometric Design 3 Applied Mathematical Modelling 3 Linear Algebra and its Applications 3 Neural, Parallel & Scientific Computations 2 SIAM Journal on Scientific Computing 2 Lecture Notes in Computer Science 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 Calcolo 1 Mathematische Zeitschrift 1 International Journal of Computer Mathematics 1 Journal of Mathematical Imaging and Vision 1 Numerical Linear Algebra with Applications 1 ETNA. Electronic Transactions on Numerical Analysis all top 5 Fields 42 Numerical analysis (65-XX) 17 Field theory and polynomials (12-XX) 11 Computer science (68-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 6 Real functions (26-XX) 5 Number theory (11-XX) 5 Functions of a complex variable (30-XX) 4 Commutative algebra (13-XX) 4 Approximations and expansions (41-XX) 3 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 Algebraic geometry (14-XX) 1 Partial differential equations (35-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 190 times in 69 Documents Cited by ▼ Year ▼ An improved non-linear method for the computation of a structured low rank approximation of the Sylvester resultant matrix. Zbl 1253.65065 Winkler, Joab R.; Hasan, Madina 13 2013 Resultant matrices and the computation of the degree of an approximate greatest common divisor of two inexact Bernstein basis polynomials. Zbl 1296.65031 Winkler, Joab R.; Yang, Ning 13 2013 A companion matrix resultant for Bernstein polynomials. Zbl 1042.15006 Winkler, Joab R. 12 2003 Two methods for the calculation of the degree of an approximate greatest common divisor of two inexact polynomials. Zbl 1261.12001 Winkler, Joab R.; Hasan, Madina; Lao, Xin 12 2012 A non-linear structure preserving matrix method for the low rank approximation of the Sylvester resultant matrix. Zbl 1196.65083 Winkler, Joab R.; Hasan, Madina 11 2010 Structured total least norm and approximate GCDs of inexact polynomials. Zbl 1136.65049 Winkler, Joab R.; Allan, John D. 10 2008 The Sylvester resultant matrix for Bernstein polynomials. Zbl 1043.41004 Winkler, Joab R.; Goldman, Ronald N. 10 2003 A resultant matrix for scaled Bernstein polynomials. Zbl 0970.12002 Winkler, Joab R. 9 2000 Structured low rank approximations of the sylvester resultant matrix for approximate GCDS of Bernstein basis polynomials. Zbl 1171.65039 Winkler, Joab R.; Allan, John D. 8 2008 Structured matrix methods for CAGD: An application to computing the resultant of polynomials in the Bernstein basis. Zbl 1164.65314 Bini, Dario A.; Gemignani, Luca; Winkler, Joab R. 8 2005 The computation of multiple roots of a polynomial. Zbl 1243.65050 Winkler, Joab R.; Lao, Xin; Hasan, Madina 8 2012 A non-linear structure-preserving matrix method for the computation of the coefficients of an approximate greatest common divisor of two Bernstein polynomials. Zbl 1372.65048 Bourne, Martin; Winkler, Joab R.; Su, Yi 8 2017 The calculation of the degree of an approximate greatest common divisor of two polynomials. Zbl 1246.65062 Winkler, Joab R.; Lao, Xin 8 2011 Structured matrix methods for the computation of multiple roots of a polynomial. Zbl 1294.65053 Winkler, Joab R. 6 2014 The computation of the degree of an approximate greatest common divisor of two Bernstein polynomials. Zbl 1353.65014 Bourne, Martin; Winkler, Joab R.; Yi, Su 6 2017 Condition numbers of a nearly singular simple root of a polynomial. Zbl 0985.65046 Winkler, Joab R. 5 2001 High order terms for condition estimation of univariate polynomials. Zbl 1119.65030 Winkler, Joab R. 4 2006 A unified approach to resultant matrices for Bernstein basis polynomials. Zbl 1172.65350 Winkler, Joab R. 4 2008 Polynomial computations for blind image deconvolution. Zbl 1357.68285 Winkler, Joab R. 4 2016 Polynomial basis conversion made stable by truncated singular value decomposition. Zbl 0895.65004 Winkler, Joab R. 3 1997 The sensitivity of linear algebraic equations. Zbl 0815.15004 Winkler, Joab R. 3 1994 The transformation of the companion matrix resultant between the power and Bernstein polynomial bases. Zbl 1039.65035 Winkler, Joab R. 3 2004 The computation of the degree of the greatest common divisor of three Bernstein basis polynomials. Zbl 1442.13090 Bourne, Martin; Winkler, Joab R.; Su, Yi 3 2020 Elimination of spurious modes in finite element analysis. Zbl 0553.65069 Winkler, Joab R.; Davies, J. Brian 2 1984 A comparison of the average case numerical condition of the power and Bernstein polynomial bases. Zbl 0988.65039 Winkler, Joab R. 2 2001 A statistical analysis of the numerical condition of multiple roots of polynomials. Zbl 1044.65040 Winkler, J. R. 2 2003 Numerical and algebraic properties of Bernstein basis resultant matrices. Zbl 1065.65062 Winkler, Joab R. 2 2005 The Sylvester resultant matrix and image deblurring. Zbl 1360.65078 Winkler, Joab R. 2 2015 The application of regularisation to variable selection in statistical modelling. Zbl 1524.62342 Winkler, Joab R.; Mitrouli, Marilena; Koukouvinos, Christos 2 2022 Tikhonov regularisation in standard form for polynomial basis conversion. Zbl 0899.65021 Winkler, Joab R. 1 1997 A note on the backward error of the roots of polynomials. Zbl 0980.68147 Winkler, Joab R. 1 2001 Computational experiments with resultants for scaled Bernstein polynomials. Zbl 0989.65041 Winkler, Joab R. 1 2001 Zur Existenz kleiner Ausfüllungskreise bei ganzen Funktionen. Zbl 0167.35801 Winkler, J. 1 1969 The numerical condition of univariate and bivariate degree elevated Bernstein polynomials. Zbl 1091.65013 Winkler, Joab R. 1 2006 An ill-conditioned problem in computer aided geometric design. Zbl 0871.68183 Winkler, Joab R. 1 1997 An approximate factorisation of three bivariate Bernstein basis polynomials defined in a triangular domain. Zbl 1503.65037 Bourne, Martin; Winkler, Joab R.; Su, Yi 1 2021 Condition estimation for regression and feature selection. Zbl 1436.62317 Winkler, Joab R.; Mitrouli, Marilena 1 2020 The application of regularisation to variable selection in statistical modelling. Zbl 1524.62342 Winkler, Joab R.; Mitrouli, Marilena; Koukouvinos, Christos 2 2022 An approximate factorisation of three bivariate Bernstein basis polynomials defined in a triangular domain. Zbl 1503.65037 Bourne, Martin; Winkler, Joab R.; Su, Yi 1 2021 The computation of the degree of the greatest common divisor of three Bernstein basis polynomials. Zbl 1442.13090 Bourne, Martin; Winkler, Joab R.; Su, Yi 3 2020 Condition estimation for regression and feature selection. Zbl 1436.62317 Winkler, Joab R.; Mitrouli, Marilena 1 2020 A non-linear structure-preserving matrix method for the computation of the coefficients of an approximate greatest common divisor of two Bernstein polynomials. Zbl 1372.65048 Bourne, Martin; Winkler, Joab R.; Su, Yi 8 2017 The computation of the degree of an approximate greatest common divisor of two Bernstein polynomials. Zbl 1353.65014 Bourne, Martin; Winkler, Joab R.; Yi, Su 6 2017 Polynomial computations for blind image deconvolution. Zbl 1357.68285 Winkler, Joab R. 4 2016 The Sylvester resultant matrix and image deblurring. Zbl 1360.65078 Winkler, Joab R. 2 2015 Structured matrix methods for the computation of multiple roots of a polynomial. Zbl 1294.65053 Winkler, Joab R. 6 2014 An improved non-linear method for the computation of a structured low rank approximation of the Sylvester resultant matrix. Zbl 1253.65065 Winkler, Joab R.; Hasan, Madina 13 2013 Resultant matrices and the computation of the degree of an approximate greatest common divisor of two inexact Bernstein basis polynomials. Zbl 1296.65031 Winkler, Joab R.; Yang, Ning 13 2013 Two methods for the calculation of the degree of an approximate greatest common divisor of two inexact polynomials. Zbl 1261.12001 Winkler, Joab R.; Hasan, Madina; Lao, Xin 12 2012 The computation of multiple roots of a polynomial. Zbl 1243.65050 Winkler, Joab R.; Lao, Xin; Hasan, Madina 8 2012 The calculation of the degree of an approximate greatest common divisor of two polynomials. Zbl 1246.65062 Winkler, Joab R.; Lao, Xin 8 2011 A non-linear structure preserving matrix method for the low rank approximation of the Sylvester resultant matrix. Zbl 1196.65083 Winkler, Joab R.; Hasan, Madina 11 2010 Structured total least norm and approximate GCDs of inexact polynomials. Zbl 1136.65049 Winkler, Joab R.; Allan, John D. 10 2008 Structured low rank approximations of the sylvester resultant matrix for approximate GCDS of Bernstein basis polynomials. Zbl 1171.65039 Winkler, Joab R.; Allan, John D. 8 2008 A unified approach to resultant matrices for Bernstein basis polynomials. Zbl 1172.65350 Winkler, Joab R. 4 2008 High order terms for condition estimation of univariate polynomials. Zbl 1119.65030 Winkler, Joab R. 4 2006 The numerical condition of univariate and bivariate degree elevated Bernstein polynomials. Zbl 1091.65013 Winkler, Joab R. 1 2006 Structured matrix methods for CAGD: An application to computing the resultant of polynomials in the Bernstein basis. Zbl 1164.65314 Bini, Dario A.; Gemignani, Luca; Winkler, Joab R. 8 2005 Numerical and algebraic properties of Bernstein basis resultant matrices. Zbl 1065.65062 Winkler, Joab R. 2 2005 The transformation of the companion matrix resultant between the power and Bernstein polynomial bases. Zbl 1039.65035 Winkler, Joab R. 3 2004 A companion matrix resultant for Bernstein polynomials. Zbl 1042.15006 Winkler, Joab R. 12 2003 The Sylvester resultant matrix for Bernstein polynomials. Zbl 1043.41004 Winkler, Joab R.; Goldman, Ronald N. 10 2003 A statistical analysis of the numerical condition of multiple roots of polynomials. Zbl 1044.65040 Winkler, J. R. 2 2003 Condition numbers of a nearly singular simple root of a polynomial. Zbl 0985.65046 Winkler, Joab R. 5 2001 A comparison of the average case numerical condition of the power and Bernstein polynomial bases. Zbl 0988.65039 Winkler, Joab R. 2 2001 A note on the backward error of the roots of polynomials. Zbl 0980.68147 Winkler, Joab R. 1 2001 Computational experiments with resultants for scaled Bernstein polynomials. Zbl 0989.65041 Winkler, Joab R. 1 2001 A resultant matrix for scaled Bernstein polynomials. Zbl 0970.12002 Winkler, Joab R. 9 2000 Polynomial basis conversion made stable by truncated singular value decomposition. Zbl 0895.65004 Winkler, Joab R. 3 1997 Tikhonov regularisation in standard form for polynomial basis conversion. Zbl 0899.65021 Winkler, Joab R. 1 1997 An ill-conditioned problem in computer aided geometric design. Zbl 0871.68183 Winkler, Joab R. 1 1997 The sensitivity of linear algebraic equations. Zbl 0815.15004 Winkler, Joab R. 3 1994 Elimination of spurious modes in finite element analysis. Zbl 0553.65069 Winkler, Joab R.; Davies, J. Brian 2 1984 Zur Existenz kleiner Ausfüllungskreise bei ganzen Funktionen. Zbl 0167.35801 Winkler, J. 1 1969 all cited Publications top 5 cited Publications all top 5 Cited by 87 Authors 26 Winkler, Joab R. 6 Bourne, Martin 5 Su, Yi 4 Mitrouli, Marilena 3 Christou, Dimitrios 3 Hasan, Madina 3 Karcanias, Nicos 3 Lao, Xin 3 Nagasaka, Kosaku 2 Aruliah, D. A. 2 Bini, Dario Andrea 2 Corless, Robert Malcolm 2 Gemignani, Luca 2 Khare, Swanand R. 2 Pan, Victor Yakovlevich 2 Saha, Tanay Kumar 2 Sánchez-Reyes, Javier 1 Amiraslani, Amirhossein 1 Ba, Elimane 1 Barriere, Thierry 1 Batselier, Kim 1 Belhaj, Skander 1 Brackbill, Jeremiah U. 1 Bürgisser, Peter 1 Cao, Jiawei 1 Chen, Wen 1 Chen, Yiming 1 Cucker, Felipe 1 De Moor, Bart L. R. 1 Díaz-Toca, Gema María 1 Dreesen, Philippe 1 Duan, Xuefeng 1 Elkadi, Mohamed 1 Farouki, Rida T. 1 Fika, Paraskevi 1 Gonzalez-Vega, Laureano 1 Habib, Zulfiqar 1 Halawani, Hanan 1 Halikias, George D. 1 Hu, Lei 1 Ji, Jun 1 Korablev, Yuriy A. 1 Koukouvinos, Christos 1 Lapenta, Giovanni 1 Levent, Akin 1 Li, Fengjun 1 Li, Jiaofen 1 Limantseva, Olga 1 Lin, Ji 1 Linden, Hansjörg 1 Mackey, D. Steven 1 Markovsky, Ivan 1 Minimair, Manfred 1 Pérez-Díaz, Sonia 1 Perović, Vasilije 1 Ricci, Paolo Emilio 1 Robol, Leonardo 1 Rocha Cardozo, Elisa 1 Ruatta, Olivier 1 Ṣahin, Bayram 1 Sarkar, Santanu 1 Saye, Robert I. 1 Schicho, Josef 1 Schost, Éric 1 Sciabica, Mark 1 Sendra, Juan Rafael 1 Sendra, Juana 1 Shakoori, Azar 1 Spaenlehauer, Pierre-Jean 1 Szántó, Ágnes 1 Szilágyi, Ibolya 1 Triantafyllou, Dimitrios S. 1 Usevich, Konstantin 1 Van Dooren, Paul M. 1 Vandebril, Raf 1 Wang, Fuzhang 1 Wang, Lei 1 Wang, Qingwen 1 Wang, Yuanhui 1 Wei, Yimin 1 Xu, Jun 1 Yang, Ning 1 Yi, Su 1 Zeng, Zhonggang 1 Zhang, Xinjun 1 Zhao, Liang 1 Zheng, Ailong all top 5 Cited in 26 Serials 14 Journal of Computational and Applied Mathematics 9 Linear Algebra and its Applications 6 Theoretical Computer Science 5 Computer Aided Geometric Design 4 Applied Numerical Mathematics 3 Applied Mathematical Modelling 2 Computers & Mathematics with Applications 2 Journal of Computational Physics 2 Journal of Symbolic Computation 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 Calcolo 1 Mathematics and Computers in Simulation 1 Acta Applicandae Mathematicae 1 Journal of Complexity 1 SIAM Journal on Matrix Analysis and Applications 1 International Journal of Computer Mathematics 1 Journal of Mathematical Imaging and Vision 1 SIAM Journal on Scientific Computing 1 Applied Mathematics. Series B (English Edition) 1 Numerical Linear Algebra with Applications 1 Engineering Analysis with Boundary Elements 1 Acta Mathematica Sinica. English Series 1 Foundations of Computational Mathematics 1 Special Matrices 1 International Journal of Applied and Computational Mathematics all top 5 Cited in 19 Fields 57 Numerical analysis (65-XX) 17 Field theory and polynomials (12-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 9 Computer science (68-XX) 8 Real functions (26-XX) 6 Number theory (11-XX) 6 Commutative algebra (13-XX) 6 Approximations and expansions (41-XX) 3 Algebraic geometry (14-XX) 3 Information and communication theory, circuits (94-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 2 Mechanics of deformable solids (74-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year