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Improving the accuracy of computed sngular values

Technical Report ·
OSTI ID:5152657
This paper describes a computational method for improving the accuracy of a given singular value and its associated left and right singular vectors. The method is analogous to iterative improvement for the solution of linear systems. That is, by means of a low-precision computation, an iterative algorithm is applied to increase the accuracy of the singular value and vectors; extended precision computations are used in the residual calculation. The method is related to Newton's Method applied to the sngular value problem and inverse iteration for the eigenvalue problem.
Research Organization:
Argonne National Lab., IL (USA)
DOE Contract Number:
W-31109-ENG-38
OSTI ID:
5152657
Report Number(s):
ANL-82-4; ON: DE82008087
Country of Publication:
United States
Language:
English

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