### Books

- Winkler J, Lawrence N & Niranjan M (2005) Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics): Preface.

### Journal articles

- Bourne M, Winkler JR & Su Y (2017) A non-linear structure-preserving matrix method for the computation of the coefficients of an approximate greatest common divisor of two Bernstein polynomials. Journal of Computational and Applied Mathematics, 320, 221-241. View this article in WRRO
- Bourne M, Winkler JR & Yi S (2017) The computation of the degree of an approximate greatest common divisor of two Bernstein polynomials. Applied Numerical Mathematics, 111, 17-35. View this article in WRRO
- Winkler JR (2016) Polynomial computations for blind image deconvolution. Linear Algebra and Its Applications, 502, 77-103. View this article in WRRO
- Winkler JR (2014) Structured matrix methods for the computation of multiple roots of a polynomial. Journal of Computational and Applied Mathematics, 272, 449-467. View this article in WRRO
- Winkler JR & Yang N (2014) A structure-preserving matrix method for the deconvolution of two Bernstein basis polynomials. Computer Aided Geometric Design. View this article in WRRO
- Winkler JR & Yang N (2013) Resultant matrices and the computation of the degree of an approximate greatest common divisor of two inexact Bernstein basis polynomials. Computer Aided Geometric Design, 30(4), 410-429.
- Winkler JR & Hasan M (2013) An improved non-linear method for the computation of a structured low rank approximation of the Sylvester resultant matrix. Journal of Computational and Applied Mathematics, 237(1), 253-268.
- Winkler JR, Lao X & Hasan M (2012) The computation of multiple roots of a polynomial. Journal of Computational and Applied Mathematics.
- Winkler JR, Hasan M & Lao X (2012) Two methods for the calculation of the degree of an approximate greatest common divisor of two inexact polynomials. Calcolo, 49(4), 241-267.
- Winkler JR & Lao X (2011) The calculation of the degree of an approximate greatest common divisor of two polynomials. J COMPUT APPL MATH, 235(6), 1587-1603.
- Winkler JR & Hasan M (2010) A non-linear structure preserving matrix method for the low rank approximation of the Sylvester resultant matrix. J COMPUT APPL MATH, 234(12), 3226-3242. View this article in WRRO
- Winkler JR (2008) A unified approach to resultant matrices for Bernstein basis polynomials. COMPUT AIDED GEOM D, 25(7), 529-541.
- Winkler JR & Allan JD (2008) Structured total least norm and approximate GCDs of inexact polynomials. J COMPUT APPL MATH, 215(1), 1-13. View this article in WRRO
- Winkler JR & Allan JD (2008) STRUCTURED LOW RANK APPROXIMATIONS OF THE SYLVESTER RESULTANT MATRIX FOR APPROXIMATE GCDS OF BERNSTEIN BASIS POLYNOMIALS. ELECTRON T NUMER ANA, 31, 141-155.
- Winkler JR (2006) The numerical condition of univariate and bivariate degree elevated Bernstein polynomials. J COMPUT APPL MATH, 191(1), 32-49.
- Winkler JR (2006) High order terms for condition estimation of univariate polynomials. SIAM J SCI COMPUT, 28(4), 1420-1436.
- Bini DA, Gemignani L & Winkler JR (2005) Structured matrix methods for CAGD: An application to computing the resultant of polynomials in the Bernstein basis. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 12(8), 685-698.
- Winkler JR (2005) Backward errors and condition numbers of regular and singular points on algebraic curves. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 3604 LNCS, 413-433.
- Winkler JR (2004) The transformation of the companion matrix resultant between the power and Bernstein polynomial bases. APPL NUMER MATH, 48(1), 113-126.
- Winkler JR (2003) A companion matrix resultant for Bernstein polynomials. Linear Algebra and Its Applications, 362, 153-175.
- Winkler JR (2003) A statistical analysis of the numerical condition of multiple roots of polynomials. COMPUT MATH APPL, 45(1-3), 9-24.
- Rees JM, Staszewski WJ & Winkler JR (2001) Case study of a wave event in the stable atmospheric boundary layer overlying an Antarctic Ice Shelf using the orthogonal wavelet transform. DYNAMICS OF ATMOSPHERES AND OCEANS, 34(2-4), 245-261.
- Winkler JR (2001) Condition numbers of a nearly singular simple root of a polynomial. APPL NUMER MATH, 38(3), 275-285.
- Winkler JR (2001) A note on the backward error of the roots of polynomials.. Neural Parallel & Scientific Comp., 9, 91-96.
- Winkler JR (2001) A comparison of the average case numerical condition of the power and bernstein polynomial bases. International Journal of Computer Mathematics, 77(4), 583-602.
- Winkler JR (2000) A resultant matrix for scaled Bernstein polynomials. LINEAR ALGEBRA APPL, 319(1-3), 179-191.
- Winkler JR (1999) Backward error analysis of the roots of polynomials. Neural, Parallel and Scientific Computations, 7, 463-486.
- Winkler JR (1997) Tikhonov regularisation in standard form for polynomial basis conversion. APPL MATH MODEL, 21(10), 651-662.
- Winkler JR (1997) Polynomial basis conversion made stable by truncated singular value decomposition. APPL MATH MODEL, 21(9), 557-568.
- Winkler JR (1997) An ill-conditioned problem in computer aided geometric design. Neural, Parallel & Scientific Computations, 5(1-2), 179-200.
- Winkler JR (1996) Singular projective transformation matrices. APPL MATH MODEL, 20(10), 771-778.
- WINKLER JR & DAVIES JB (1986) ACCURATE FIELD ANALYSIS OF THE PROPAGATION OF ELASTIC-WAVES THROUGH AN ACOUSTIC MICROSCOPE .2. RESULTS. IEEE T ULTRASON FERR, 33(6), 657-668.
- WINKLER JR & DAVIES JB (1986) ACCURATE FIELD ANALYSIS OF THE PROPAGATION OF ELASTIC-WAVES THROUGH AN ACOUSTIC MICROSCOPE .1. THEORY. IEEE T ULTRASON FERR, 33(6), 644-656.
- WINKLER JR & DAVIES JB (1984) ELIMINATION OF SPURIOUS MODES IN FINITE-ELEMENT ANALYSIS. J COMPUT PHYS, 56(1), 1-14.

### Conference proceedings papers

- Alkhaldi N & Winkler JR (2016) IEEE International Conference on Image Processing (ICIP 2015). IEEE International Conference on Image Prcoessing (pp 784-788). Quebec City, Canada, 27 September 2015 - 30 September 2015. View this article in WRRO
- Alkhaldi N & Winkler J (2015) Blind image deconvolution using the Sylvester resultant matrix. Proceedings - International Conference on Image Processing, ICIP, Vol. 2015-December (pp 784-788)
- Winkler JR (2015) The Sylvester Resultant Matrix and Image Deblurring. 8th International Conference on Curves and Surfaces (pp 461-490). Switzerland, 12 June 2014 - 18 June 2014.
- Winkler JR (2015) The sylvester resultant matrix and image deblurring. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Vol. 9213 (pp 461-490)
- Winkler JR, Martin, R & Sabin, M (2007) Mathematics of Surfaces XII. Springer (LNCS 4647), Vol. 4647. Sheffield, 4 September 2007 - 7 September 2007.
- Winkler JR (2007) Condition numbers and least squares regression. Mathematics of Surfaces XII, Proceedings, Vol. 4647 (pp 480-493)
- Winkler JR (2006) Structure Preserving methods for the computation of approximate GCDs of Berstein polynomials. 6th International Conference on Curves and Surfaces (pp 11-20). Avignon, France, 29 June 2006 - 5 July 2006.
- Samani A, Winkler J & Niranjan M (2006) Automatic face recognition using stereo images. 2006 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING, VOLS 1-13 (pp 5771-5774)
- (2005) Deterministic and Statistical Methods in Machine Learning, First International Workshop, Sheffield, UK, September 7-10, 2004, Revised Lectures. Deterministic and Statistical Methods in Machine Learning, Vol. 3635
- Winkler JR (2005) A comparison of condition numbers for the full rank least squares problem. DETERMINISTIC AND STATISTICAL METHODS IN MACHINE LEARNING, Vol. 3635 (pp 296-318)
- Winkler JR (2005) Numerical and algebraic properties of Bernstein basis resultant matrices. COMPUTATIONAL METHODS FOR ALGEBRAIC SPLINE SURFACES (pp 107-118)
- Winkler JR & Goldman RN (2003) The Sylvester resultant matrix for Bernstein polynomials. Curve and Surface Fitting: Saint-Malo 2002 (pp 407-416). Saint-Malo, 2002 - 2002.
- Winkler JR & Niranjan, M (2002) Uncertainty in Geometric Computations. Uncertainty in Geometric Computations. Sheffield, 5 July 2001 - 6 July 2001.
- Winkler JR (2002) Properties of the companion matrix resultant for Bernstein polynomials. UNCERTAINTY IN GEOMETRIC COMPUTATIONS, Vol. 704 (pp 185-198)
- Winkler JR (2001) Computational experiments with resultants for scaled Bernstein polynomials. MATHEMATICAL METHODS FOR CURVES AND SURFACES: OSLO 2000 (pp 535-544)
- Winkler JR & Ragozin DL (2000) A class of Bernstein polynomials that satisfy Descartes' rule of signs exactly. MATHEMATICS OF SURFACES IX (pp 424-437)
- Winkler JR () The sensitivity of linear algebraic equations. 5th SIAM Conference on Applied Linear Algebra. Snowbird, Utah, USA, 15 June 1994 - 18 June 1994.
- Winkler JR () Numerically stable conversion between the Bezier and B-spline forms of a curve. Curves and Surfaces with Applications in CAGD (pp 465-472). Chamonix, 30 June 1997.
- Winkler JR () The numerical condition of roots of polynomials in Bernstein form. Proceedings of the 8th IMA Conference on The Mathematics of Surfaces (pp 265-280). Birmingham, 31 August 1998 - 2 September 1998.