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Comparison of some methods for solving sparse linear least squares problems

Technical Report ·
OSTI ID:5712384
The method of normal equations, the Peters-Wilkinson algorithm and an algorithm based on Givens rotations for solving large sparse linear least squares problems are discussed and compared. Numerical experiments show that the method of normal equations should be considered when the observation-matrix is sparse and numerical stability is not important. However, if numerical stability is a major issue, the algorithm based on Givens rotations is then preferable.
Research Organization:
Oak Ridge National Lab., TN (USA)
DOE Contract Number:
W-7405-ENG-26
OSTI ID:
5712384
Report Number(s):
ORNL/CSD-87; ON: DE82004651
Country of Publication:
United States
Language:
English

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