Computing the Singular Value Decomposition of a Product of Two Matrices

Authors:
  • MHM. T. Heath
    M. T. Heath
  • ALA. J. Laub
    A. J. Laub
  • CPC. C. Paige
    C. C. Paige
  • RWR. C. Ward
    R. C. Ward

Abstract
An algorithm is developed for computing the singular value decomposition of a product of two general matrices without explicitly forming the product. The algorithm is based on an earlier Jacobi-like method due to Kogbetliantz and uses plane rotations applied to the two matrices separately. A triangular variant of the basic algorithm is developed that reduces the amount of work required.

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