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SIAM Journal on Scientific and Statistical Computing
Article . 1990 . Peer-reviewed
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Experience with a Matrix Norm Estimator

Experience with a matrix norm estimator
Authors: Nicholas J. Higham;

Experience with a Matrix Norm Estimator

Abstract

Summary: Fortran 77 codes for estimating the 1-norm of a real or complex matrix were presented by the author [ACM Trans. Math. Software 14, No. 4, 381- 396 (1988; Zbl 0665.65043)]. The codes have found use in various applications and have been adopted by two program libraries. Further observations about the norm estimation algorithm and experience in using it are reported here. In particular, an example is given where the algorithm requires nearly the maximum possible number of iterations.

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United Kingdom
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Keywords

matrix 1-norm, norm estimation algorithm, condition number estimation, Numerical computation of matrix norms, conditioning, scaling, Direct numerical methods for linear systems and matrix inversion

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
34
Top 10%
Top 10%
Top 10%
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