Dr Shayne Francis Daley Waldron

PhD (Wisconsin-Madison)

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Senior Lecturer

Research | Current

  • Approximation Theory
  • Polynomial interpolation
  • Numerical methods

Postgraduate supervision

Projects on offer

  • Approximation Theory (Reading)
  • Spectral theory of non-negative matrices and oscillation matrices (Reading)
  • Splines (using MATLAB and applets for the Bernstein-Bezier form) (Reading and/or Project)

Selected publications and creative works (Research Outputs)

  • Chien, T.-Y., & Waldron, S. (2017). Nice error frames, canonical abstract error groups and the construction of SICs. Linear Algebra and its Applications, 516, 93-117. 10.1016/j.laa.2016.11.026
  • Chien, T.-Y., & Waldron, S. (2016). A Characterization of Projective Unitary Equivalence of Finite Frames and Applications. SIAM Journal on Discrete Mathematics, 30 (2), 976-994. 10.1137/15M1042140
  • Chien, T.-Y., Flynn, V., & Waldron, S. (2015). Tight frames for cyclotomic fields and other rational vector spaces. Linear Algebra and its Applications, 476, 98-123. 10.1016/j.laa.2015.02.021
  • Do, T. D., & Waldron, S. (2015). Multivariate Bernstein operators and redundant systems. Journal of Approximation Theory, 192, 215-233. 10.1016/j.jat.2014.12.001
  • Broome, H., & Waldron, S. (2013). On the construction of highly symmetric tight frames and complex polytopes. Linear Algebra and Its Applications, 439 (12), 4135-4151. 10.1016/j.laa.2013.10.003
  • Waldron, S. F. (2013). Group frames. In P. Casazza, G. Kutyniok (Eds.) Finite Frames: Theory and Applications (pp. 171-191). Springer. 10.1007/978-0-8176-8373-3_5
  • Broome, H., & Waldron, S. (2013). On the construction of highly symmetric tight frames and complex polytopes. Linear Algebra and Its Applications10.1016/j.laa.2013.10.003
  • Waldron, S. (2011). Affine generalised barycentric coordinates. Jaen Journal on Approximation, 3 (2), 209-226.

Identifiers

Contact details

Primary location

SCIENCE CENTRE - MATHPHYSIC - Bldg 303
Level 4, Room 415
38 PRINCES ST
AUCKLAND 1010
New Zealand

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