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Matrix decomposition

  1. Mar 23, 2004 #1

    I have a question about what I would call, for want of a better name, matrix decomposition. However, my question does not concern standard decompositions like eigenvalue or Cholesky decomposition.

    The problem:
    Assume given two real and square matrices C and D. C is symmetric, while D is antisymmetric. Find two real and square matrices A and B, such that:
    C = A*A - B*B
    D = A*B + B*A
    Here * denotes standard matrix multiplication.

    Does anybody know a suitable algorithm for this or a similar problem? Most likely several solutions A and B exist.

    This problem arises when trying to describe radar Doppler measurements of hydrometeors (cloud and rain drops).

    Any help will be appreciated.
  2. jcsd

Can you help with the solution or looking for help too?
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