Project_12
Blind Deconvolution
A Matter of Norm


Project 12 continues the spectroscopic problem that was introduced in Project 11. However, this time, there will be some constraints placed on the error matrix.

In Project 11, we concentrated on minimizing the error. In the new approach, the constraint on the behavior of the error matrix means that our minimization procedure must be changed. Instead of seeking the minimum over all error matrices, we now are looking for the minimum over all error matrices...that satisfy our new constraint. This procedure is called constrained optimization, and is a very common situation in computational science.

Reference:

  1. Dianne O'Leary,
    Blind Deconvolution: A Matter of Norm,
    Computing in Science and Engineering,
    Volume 7, Number 2, March/April 2005.
  2. Dianne O'Leary,
    Scientific Computing with Case Studies,
    SIAM, 2008,
    ISBN13: 978-0-898716-66-5,
    LC: QA401.O44.


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Last revised on 10 February 2009.