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Mathematical Methods of Operations Research

, Volume 51, Issue 1, pp 91–102 | Cite as

A convex dual approach to the computation of NMR complex spectra

  • Jonathan M. Borwein
  • Pierre Maréchal
  • David Naugler

Abstract.

The particular entropy method proposed by Hoch et al. [7] for the computation of NMR complex spectra allows an elegant application of the concepts of duality theory. Correspondingly, duality theory casts new light on their choice of entropy. The purpose of this paper is to present the relevant theoretical developments together with some numerical illustrations.

Key words: Entropy optimization, convex duality, spectral analysis, nuclear magnetic resonance 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Jonathan M. Borwein
    • 1
  • Pierre Maréchal
    • 1
  • David Naugler
    • 1
  1. 1.Simon Fraser University, 8888 University Drive, Burnaby, British Columbia, Canada V5A 1S6 (e-mail: jborwein@cecm.sfu.ca; marechal@cecm.sfu.ca; dnaugler@sfu.ca)CA

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