Research/Scholarly/Creative Works

• Coope ID. and Tappenden R. (2021) Gradient and diagonal Hessian approximations using quadratic interpolation models and aligned regular bases. Numerical Algorithms 88(2): 767-791. http://dx.doi.org/10.1007/s11075-020-01056-8. (Journal Articles)

• Coope I. and Tappenden R. (2019) Efficient calculation of regular simplex gradients. Computational Optimization and Applications 72(3): 561-588. http://dx.doi.org/10.1007/s10589-019-00063-3. (Journal Articles)

• Tappenden R., Hegarty J., Broughton R., Butler A., Coope I. and Renaud P. (2013) X-ray image enhancement via determinant based feature selection. Australasian Physical & Engineering Sciences in Medicine 36(4): 449-455. http://dx.doi.org/10.1007/s13246-013-0221-1. (Journal Articles)

• Broughton RL., Coope ID., Renaud PF. and Tappenden RE. (2011) A box constrained gradient projection algorithm for compressed sensing. Signal Processing 91(8): 1985-1992. http://dx.doi.org/10.1016/j.sigpro.2011.03.003. (Journal Articles)

• Broughton R., Coope I., Renaud P. and Tappenden R. (2010) Determinant and exchange algorithms for observation subset selection. IEEE Transactions on Image Processing 19(9): 2437-2443. http://dx.doi.org/10.1109/TIP.2010.2048150. (Journal Articles)

• Broughton R., Coope I., Renaud P. and Tappenden R. (2010) Recovery of localised structure from signals with non-sparse components. In ANZIAM Journal 52: 567-580. (Conference Contributions - Published)

• Coope ID. (2010) On a conjecture of J.C. Butcher and H. Podhaisky, UCDMS2006/1.Commissioned by Department of Mathematics & Statistics, University of Canterbury.. 1-10. (Reports)

• Coope ID. (2010) On calculating generalized Cayley transforms of bounded norm. Numerical Algorithms 52(4): 575-583. http://dx.doi.org/10.1007/s11075-009-9301-4. (Journal Articles)

• Coope ID. and Macklem MS. (2010) Parallel Jacobi methods for derivative-free optimization on parallel or distributed processors. ANZIAM Journal 46: C719-C731. (Journal Articles)

• Coope ID. and Renaud PF. (2010) Trace inequalities with applications to orthogonal regression and matrix nearness problems. Journal of Inequalities in Pure and Applied Mathematics 10(4): 92. (Journal Articles)

• Broughton R., Coope I., Renaud P. and Tappenden R. (2009) A Barzilai-Borwein $l_1$-Regularized Least Squares Algorithm for Compressed Sensing.1-16. (Reports)

• Coope I. (2009) An unusual optimization problem. University of South Australia, Adelaide, Australia: 53rd Annual Meeting of the Australian Mathematical Society, 28 Sep-1 Oct 2009. (Conference Contributions - Other)

• Coope ID. and Hutchinson D. (2009) Direction-set Updates for Derivative-free Optimization. Advanced Modeling and Optimization 11(1): 33-41. (Journal Articles)

• Tappenden R., Coope I., Renaud P. and Broughton R. (2009) A Barzilai-Borwein algorithm for signal reconstruction. Sydney, Australia: 1st Pacific Rim Mathematical Association Congress (PRIMA), 6-10 Jul 2009. (Conference Contributions - Other)

• Coope ID. (2008) On a conjecture of J.C. Butcher and H. Podhaisky.Department of Mathematics and Statistics, UC. 1-10. (Reports)

• Coope ID. and Hutchinson D. (2008) Direction-set updates for derivative-free optimization. University of Cantebury, Christchurch, New Zealand: ANZMC 2008, 1 Dec 2008. (Conference Contributions - Other)

• Coope ID. (2007) Fault-tolerant algorithms for unconstrained optimization. Invited Research Seminar, 05 Nov 2009. (Oral Presentations)

• Macklem MS. and Coope ID. (2005) A Parallel Implementation of a Jacobi-type Derivative-free Optimization Algorithm. SIAM Conference on Computational Science & Engineering, 01 Jul 2003. (Oral Presentations)

• Byatt D., Coope ID. and Price CJ. (2004) Conjugate Grids for Unconstrained Optimisation. Computational Optimization and Applications 29(1): 49-68. (Journal Articles)

• Byatt D., Coope ID. and Price CJ. (2004) Performance of various BFGS implementations with limited precision second-order information. ANZIAM Journal 45(4): 511-522. (Journal Articles)

• Byatt D., Coope ID. and Price CJ. (2004) Effect of limited precision on the BFGS quasi-Newton algorithm. In Australian & New Zealand Industrial and Applied Mathematics Journal (ANZIAM) 45(Part C): C283-C295. (Conference Contributions - Published)

• Coope ID. (2004) A fault-tolerant algorithm for derivative-free optimization. New Zealand Mathematical Society Colloquium, 15 Sep 2003. (Oral Presentations)

• Coope ID. and Macklem MS. (2004) Parallel Jacobi methods for derivative-free optimization on parallel or distributed processors. Melbourne, Australia: Computational Techniques & Applications, 1 Sep 2004. (Conference Contributions - Other)

• Coope ID. and Price CJ. (2004) A direct search frame-based conjugate gradients method. Journal of Computational Mathematics 22(4): 489-500. (Journal Articles)

• Dennis JE., Price CJ. and Coope ID. (2004) Direct Search Methods for Nonlinearly Constrained Optimization Using Filters and Frames. Optimization and Engineering 5(2): 123-144. (Journal Articles)

• Byatt D., Coope ID. and Price CJ. (2003) Performance of Various BFGS and DFP Implementations with Limited Precision Second Order Information.Dept. of Mathematics and Statistics, University of Canterbury, Research Report No. UCDMS2003/1. 20pp. (Reports)

• Coope ID. (2003) Grids & Frames in Computational Optimization. West Coast Optimization Meeting, 06 Jul 2004. (Oral Presentations)

• Coope ID. (2003) Grids and Frames in Computational Optimization. ANODE, 2003, 24 Apr 2001. (Oral Presentations)

• Coope ID. (2003) Recent Developments in the Nelder-Mead Method for Unconstrained Optimization. 28 Nov 2004. (Oral Presentations)

• Price CJ. and Coope ID. (2003) Frame-Based Ray Search Algorithms in Unconstrained Optimization. Journal of Optimization Theory and Applications 116(2): 359-377. http://dx.doi.org/10.1023/A:1022414105888. (Journal Articles)

• Price CJ. and Coope ID. (2003) Frames and Grids in Unconstrained and Linearly Constrained Optimization: A Nonsmooth Approach. SIAM Journal on Optimization 14(2): 415-438. http://dx.doi.org/10.1137/S1052623402407084. (Journal Articles)

• Smith BW., Chase JG., Nokes RI., Coope ID. and Shaw GM. (2003) Optimisation based identification of cardiovascular system model parameters for patient specific diagnostic assistance. Sydney, Australia: World Congress on Medical Physics and Biomedical Engineering (WC2003), 24 Aug 2003. (Conference Contributions - Other)

• Byatt D., Coope ID. and Price CJ. (2002) Conjugate Grids for Unconstrained Optimisation.Dept. of Mathematics and Statistics, University of Canterbury, Research Report No. UCDMS2002/10. 21pp. (Reports)

• Coope ID. and Price CJ. (2002) A Derivative Free Frame Based Conjugate Gradients Method.Dept. of Mathematics and Statistics, University of Canterbury, Research Report No. UCDMS2002/7. 19pp. (Reports)

• Coope ID. and Price CJ. (2002) Positive Bases in Numerical Optimization. Computational Optimization and Applications 21(2): 169-175. (Journal Articles)

• Price CJ., Coope ID. and Byatt D. (2002) A Convergent Variant of the Nelder-Mead Algorithm. Journal of Optimization Theory and Applications 113(1): 5-19. http://dx.doi.org/10.1023/A:1014849028575. (Journal Articles)

• Byatt D. (2001) "Convergent variants of the Nelder-Mead simplex algorithm".. (Theses / Dissertations)

• Coope I. (2001) (2001, February 3-7). "Recent Developments in the Nelder-Mead Simplex Method". Barossa Valley, Australia: ANZIAM Conference. ANZIAM Conference, 01 Jan 2000. (Oral Presentations)

• Coope ID. (2001) Numerical Optimization without Derivatives - Methods Old and New. . (Oral Presentations)

• Coope ID. (2001) Positive Bases in Numerical Optimization. 09 Apr 2001. (Oral Presentations)

• Coope ID. (2001) Reliable computation of the points of intersection of n spheres in n-space. ANZIAM Journal 42: 461-477. (Journal Articles)

• Coope ID. and Price CJ. (2001) On the Convergence of Grid-Based Methods for Unconstrained Optimization. SIAM Journal on Optimization 11(4): 859-869. http://dx.doi.org/10.1137/S1052623499354989. (Journal Articles)

• Coope ID. and Price CJ. (2000) A direct search conjugate directions algorithm for unconstrained minimization. Australian and New Zealand Industrial and Applied Mathematics Journal 42: C478-C498. (Journal Articles)

• Coope ID. and Price CJ. (2000) Frame Based Methods for Unconstrained Optimization. Journal of Optimization Theory and Applications 107(2): 261-274. http://dx.doi.org/10.1023/A:1026429319405. (Journal Articles)

• Coope ID. and Renaud PF. (2000) A quadratic inequality of Atanassov. Austral. Math. Soc. Gazette 26: 169-170. (Journal Articles)

• Coope ID., Lintott AB., Dunlop GR. and Viskovic MI. (2000) Numerically stable methods for converting rotation matrices to Euler parameters. Portoroz, Slovenia: Proc. Advanced Robot Kinematics (ARK'2000)., 26 Jun 2000. (Conference Contributions - Other)

• Coope I. (1998) (1998, July 6-9). "The Theory of Positive Bases Applied to Nonlinear Optimization". Christchurch: New Zealand Mathematics Colloquium. New Zealand Mathematics Colloquium, 03 Feb 2001. (Oral Presentations)

• Coope ID. and Price CJ. (1998) Exact penalty function methods for nonlinear semi-infinite programming. In Reemtsen R; Rueckmann JJ (Ed.), Semi-Infinite Programming: 137-157. Amsterdam: Kluwer. (Chapters)

• Coope ID. and Renaud PF. (1997) Trace inequalities with applications to orthogonal regression and matrix nearness problems. Research Report No. UCDMS2000/17.Department of Mathematics and Statistics, University of Canterbury. Commissioned by Department of Mathematics and Statistics, University of Canterbury. 1-7. (Reports)

• Price CJ. and Coope ID. (1996) Numerical experiments in semi-infinite programming. Computational Optimization and Applications 6(2): 169-189. http://dx.doi.org/10.1007/BF00249645. (Journal Articles)

• Coope ID. (1994) On matrix trace inequalities and related topics for products of hermitian matrices. Journal of Mathematical Analysis and Applications 188(3): 999-1001. http://dx.doi.org/10.1006/jmaa.1994.1475. (Journal Articles)

• Coope ID. and Price CJ. (1994) A two-parameter exact penalty function for nonlinear programming. Journal of Optimization Theory and Applications 83(1): 49-61. http://dx.doi.org/10.1007/BF02191761. (Journal Articles)

• Dominguez M., Coope ID., Arrillaga J. and Watson NR. (1994) An Adaptive Scheme for the Derivation of Harmonic Impedance Contours. IEEE Transactions on Power Delivery 9(2): 879-886. (Journal Articles)

• Coope ID. (1993) Circle fitting by linear and nonlinear least squares. Journal of Optimization Theory and Applications 76(2): 381-388. http://dx.doi.org/10.1007/BF00939613. (Journal Articles)

• Coope ID. (1993) Curve interpolation with nonlinear spiral splines. IMA Journal of Numerical Analysis 13(3): 327-341. http://dx.doi.org/10.1093/imanum/13.3.327. (Journal Articles)

• Coope ID. (1993) On the calculation of minimum variance estimators for unobservable dependent variables. Computational Optimization and Applications 2(4): 337-341. http://dx.doi.org/10.1007/BF01299545. (Journal Articles)

• Coope ID. and Graves-Morris PR. (1993) The rise and fall of the vector epsilon algorithm. Numerical Algorithms 5(6): 275-286. http://dx.doi.org/10.1007/BF02108462. (Journal Articles)

• Price CJ. and Coope ID. (1990) An exact penalty function algorithm for semi-infinite programmes. BIT Numerical Mathematics 30(4): 723-734. http://dx.doi.org/10.1007/BF01933219. (Journal Articles)

• Coope ID. and Watson GA. (1985) A projected lagrangian algorithm for semi-infinite programming. Mathematical Programming 32(3): 337-356. http://dx.doi.org/10.1007/BF01582053. (Journal Articles)

• Coope ID. and Fletcher R. (1980) Some numerical experience with a globally convergent algorithm for nonlinearly constrained optimization. Journal of Optimization Theory and Applications 32(1): 1-16. http://dx.doi.org/10.1007/BF00934840. (Journal Articles)