Algorithms for the Weighted Orthogonal Procrustes Problem and other Least Squares Problems

@inproceedings{Viklands2005AlgorithmsFT,
  title={Algorithms for the Weighted Orthogonal Procrustes Problem and other Least Squares Problems},
  author={Thomas Viklands},
  year={2005}
}
  • Thomas Viklands
  • Published 2005
In this thesis, we present algorithms for local and global minimization of some Procrustes type problems. Typically, these problems are about rotating and scaling a known set of data to fit another set with applications related to determination of rigid body movements, factor analysis and multidimensional scaling. The known sets of data are usually represented as matrices, and the rotation to be determined is commonly a matrix Q with orthonormal columns. The algorithms presented use Newton and… CONTINUE READING
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