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2006.160: Experience with a Matrix Norm Estimator

2006.160: Nicholas J. Higham (1990) Experience with a Matrix Norm Estimator. SIAM Journal on Scientific and Statistical Computing, 11 (4). pp. 804-809. ISSN 1095-7197

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Fortran 77 codes for estimating the 1-norm of a real or complex matrix were presented by Higham in [ACM Trans. Math. Software, 14 (1988), pp. 381–396]. 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.

Item Type:Article
Uncontrolled Keywords:matrix 1-norm, condition number estimation
Subjects:MSC 2000 > 15 Linear and multilinear algebra; matrix theory
MSC 2000 > 65 Numerical analysis
MIMS number:2006.160
Deposited By:Miss Louise Stait
Deposited On:30 June 2006

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