On adding and subtracting eigenspaces with EVD and SVD

  title={On adding and subtracting eigenspaces with EVD and SVD},
  author={Peter M. Hall and David Marshall and Ralph R. Martin},
This paper provides two algorithms: one for adding eigenspaces, another for subtracting them, thus allowing for incremental updating and downdating of data models. Importantly, and unlike previous work, we keep an accurate track of the mean of the data, which allows our methods to be used in classification applications. The result of adding eigenspaces, each made from a set of data, is an approximation to that which would obtain were the sets of data taken together. Subtracting eigenspaces… CONTINUE READING
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