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Matrix decomposition

  1. Mar 23, 2004 #1
    Hello,

    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
    and
    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
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