On Pre-Conditioning of Matrices

@article{Osborne1960OnPO,
  title={On Pre-Conditioning of Matrices},
  author={E. E. Osborne},
  journal={J. ACM},
  year={1960},
  volume={7},
  pages={338-345}
}
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
Highly Cited
This paper has 62 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.
41 Citations
1 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 41 extracted citations

63 Citations

05'78'88'99'10
Citations per Year
Semantic Scholar estimates that this publication has 63 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.

Similar Papers

Loading similar papers…