Dr Shayne Waldron

PhD (Wisconsin-Madison)

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Associate Professor

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)

As of 29 October 2020 there will be no automatic updating of 'selected publications and creative works' from Research Outputs. Please continue to keep your Research Outputs profile up to date.
  • Hughes, D., & Waldron, S. (2021). Spherical (t,t)-designs with a small number of vectors. Linear Algebra and Its Applications, 608, 84-106. 10.1016/j.laa.2020.08.010
  • Waldron, S. (2020). The Fourier transform of a projective group frame. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 49 (1), 74-98. 10.1016/j.acha.2018.11.004
  • Bos, L., Ma'u S, & Waldron, S. (2020). Extremal Growth of Polynomials. ANALYSIS MATHEMATICA, 46 (2), 195-224. 10.1007/s10476-020-0028-8
    Other University of Auckland co-authors: Sione Ma'u
  • Bos, L., & Waldron, S. (2019). SICs and the elements of order three in the Clifford group. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 52 (10)10.1088/1751-8121/aafff3
  • Appleby, M., Chien, T.-Y., Flammia, S., & Waldron, S. (2018). Constructing exact symmetric informationally complete measurements from numerical solutions. Journal of Physics A: Mathematical and Theoretical, 51 (16), 165302-165302. 10.1088/1751-8121/aab4cd
  • Marshall, S., & Waldron, S. (2018). On the number of harmonic frames. Applied and Computational Harmonic Analysis10.1016/j.acha.2018.02.004
  • Waldron, S. F. D. (2018). Frames. Applied and Numerical Harmonic Analysis (pp. 31-69). 10.1007/978-0-8176-4815-2_3
  • Waldron, S. F. D. (2018). Projective unitary equivalence and fusion frames. Applied and Numerical Harmonic Analysis (pp. 165-187). 10.1007/978-0-8176-4815-2_8

Identifiers

Contact details

Primary office location

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

Web links