On Pre-Conditioning of Matrices

  title={On Pre-Conditioning of Matrices},
  author={E. E. Osborne},
  journal={J. ACM},
Some of the difficulties encountered in the problem of obtaining the elgenvalues and eigenvectors of a matrix appear to be due to the fact tha t its eigenvalues are small compared to its norm. Examples provided in section 3 tend to verify this statement. In section 2 the possibility of applying norm-reducing similarity transformations to A is briefly considered, leading to a decision to restrict the transforming matrices to being diagonal. To justify this, examples are given in section 3. These… CONTINUE READING
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