UC Spark

Associate Professor Ian Douglas Coope

Mathematics and Statistics
Phone: +64 3 364 2987 ext. 6676
Office: Erskine 504

Fields of Research

  • Computational mathematics
  • Linear algebra and applications
  • Numerical optimization

Researcher Summary

Research interests include numerical optimization, linear algebra and applications and computational science.

Subject Area: Disciplines


Publications


  • Broughton, R.L., Coope, I.D., Renaud, P.F. and Tappenden, R.E. (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 Article)
  • 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 Article)
  • 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 Contribution - Full conference paper)
  • 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 Contribution - Full conference paper)
  • Coope, I.D. and Hutchinson, D. (2009) Direction-set Updates for Derivative-free Optimization. Advanced Modeling and Optimization 11(1): 33-41. (Journal Article)
  • Coope,I.D. and Hutchinson, D. (2008) Direction-set updates for derivative-free optimization. University of Canterbury: ANZMC 2008, December, 2008. (Conference Contribution - Full conference paper)
  • Coope, I.D. (2007) Fault-tolerant algorithms for unconstrained optimization. University of Hertfordshire: Invited Research Seminar, 12 June 2007. (Oral Presentation)
  • I.D. Coope, M.S. Macklem. (2005) Parallel Jacobi methods for derivative-free optimization on parallel or distributed processors. ANZIAM Journal 46: C719-731. (Journal Article)
  • Coope, I.D. and Price, C.J. (2004) A direct search frame-based conjugate gradients method. Journal of Computational Mathematics 22(4): 489-500. (Journal Article)
  • Byatt, D., Coope, I.D. and Price, C.J. (2004) Conjugate Grids for Unconstrained Optimisation. Computational Optimization and Applications 29(1): 49-68. (Journal Article)
  • Dennis, J.E., Price, C.J. and Coope, I.D. (2004) Direct Search Methods for Nonlinearly Constrained Optimization Using Filters and Frames. Optimization and Engineering 5(2): 123-144. (Journal Article)
  • Byatt, D., Coope, I.D. and Price, C.J. (2004) Effect of limited precision on the BFGS quasi-Newton algorithm. Sydney, Australia: 11th Biennial Computational Techniques and Applications Conference (CTAC-2003), Jul 2003. In Australian & New Zealand Industrial and Applied Mathematics Journal (ANZIAM) 45(Part C) C283-C295. http://anziamj.austms.org.au/V45/CTAC2003/Byat/Byat.pdf. (Conference Contribution - Paper in published proceedings)
  • Price, C.J. and Coope, I.D. (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 Article)
  • Price, C.J. and Coope, I.D. (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 Article)
  • Smith, B.W., Chase, J.G., Nokes, R.I., Coope, I.D. and Shaw, G.M. (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), 24-29 Aug 2003. (Conference Contribution - Full conference paper)
  • Price, C.J., Coope, I.D. 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 Article)
  • Coope, I.D. and Price, C.J. (2002) Positive Bases in Numerical Optimization. Computational Optimization and Applications 21(2): 169-175. (Journal Article)
  • Coope, I.D. and Price, C.J. (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 Article)
  • Coope, I.D. and Price, C.J. (2000) A direct search conjugate directions algorithm for unconstrained minimization. Australian and New Zealand Industrial and Applied Mathematics Journal 42: C478-C498. http://anziamj.austms.org.au/V42/CTAC99/Coo2/home.html. (Journal Article)
  • Coope, I.D. and Price, C.J. (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 Article)
  • Coope, I.D., Lintott, A.B., Dunlop, G.R. and Viskovic, M.I. (2000) Numerically stable methods for converting rotation matrices to Euler parameters. Portoroz, Slovenia: Proc. Advanced Robot Kinematics (ARK'2000)., June 26-29 2000. 35-42.. (Conference Contribution - Other)
  • Coope, I.D. (2000) Reliable computation of the points of intersection of n spheres in n-space. ANZIAM Journal 42: 461-477. (Journal Article)
  • Coope, I.D. and Renaud, P.F. (1999) A quadratic inequality of Atanassov.. Austral. Math. Soc. Gazette 26: 169--70. (Journal Article)
  • Coope, I.D. and Price, C.J. (1998) Exact penalty function methods for nonlinear semi-infinite programming. In Reemtsen, R. and Rueckmann, J.-J. (Ed.), Semi-Infinite Programming: 137-157. Amsterdam: Kluwer. (Chapter in Book)