Research Interests

My research addresses the development, analysis and implementation of algorithms for linear and nonlinear nonconvex smooth optimization problems, suitable for large-scale problems. I am also interested in the interconnections between dynamical systems and continuous optimization; and optimization aspects of compressed sensing and sparse approximation.

Research Groups

• Operational Research and Optimization

Current and Recent PhD Students

Andrew Thompson (2008--present)

Professional Activities

Visiting Scientist at Rutherford Appleton Laboratory, Numerical Analysis Group (2007--present)

Education Background

University of Cambridge, 2005: PhD in Mathematics (Supervisor: Professor Mike Powell, FRS)

University of Cambridge, 1999: Part III of the Mathematical Tripos

Babes-Bolyai University, 1998: BSc in Mathematics

Previous Employment

Research Scientist - Numerical Analysis, Rutherford Appleton Laboratory, 07/06-07/07 (permanent post)

EPSRC Postdoctoral Researcher, Oxford University, Computing Laboratory, 01/04-06/06

Selected Publications

Adaptive cubic regularisation methods for unconstrained optimization. Part II: Worst-case function- and derivative-evaluation complexity (2010, online)
C Cartis, N I M Gould and Ph L Toint
Mathematical Programming
Page: 25 pages
DOI: 10.1007/s10107-009-0337-y

Adaptive cubic regularisation methods for unconstrained optimization. Part I: Motivation, convergence and numerical results (2009, online)
C Cartis, N I M Gould and Ph L Toint
Mathematical Programming
Page: 51 pages.
DOI: 10.1007/s10107-009-0286-5

Decay properties of restricted isometry constants (2009)
J D Blanchard, C Cartis and J Tanner
IEEE Signal Processing Letters vol: 16,
Page: 572--575

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