Geodesic
On the approximation numbers of large Toeplitz matrices
Documenta mathematica, Tome 2 (1997), pp. 1-29
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The kth approximation number sk(p)​(An​) of a complex n×n matrix An​ is defined as the distance of An​ to the n×n matrices of rank at most n−k. The distance is measured in the matrix norm associated with the lp norm (1

∞) on Cn. In the case p=2, the approximation numbers coincide with the singular values.
DOI : 10.4171/dm/21
Classification : 15A09, 15A18, 15A60, 47A58, 47A75, 47B35, 47N50, 65F35 
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     author = {A. B\"ottcher},
     title = {On the approximation numbers of large {Toeplitz} matrices},
     journal = {Documenta mathematica},
     pages = {1--29},
     year = {1997},
     volume = {2},
     doi = {10.4171/dm/21},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/21/}
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A. Böttcher. On the approximation numbers of large Toeplitz matrices. Documenta mathematica, Tome 2 (1997), pp. 1-29. doi: 10.4171/dm/21

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