Mixed and componentwise condition numbers for rectangular structured matrices

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

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Detail(s)

Original languageEnglish
Pages (from-to)89-115
Journal / PublicationCalcolo
Volume44
Issue number2
Publication statusPublished - Jun 2007

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DOI

DOI
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Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-34548733720&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(840eff13-6c5f-403b-b1c3-5b067c0be902).html

Abstract

We provide explicit expressions for both mixed and componentwise structured condition numbers for several classes of structured rectangular matrices: upper triangular, Toeplitz, Hankel, Vandermonde, and Cauchy matrices. Such expressions for many other classes of matrices can be similarly derived. Mathematics Subject Classification (2000): 15A12, 65F35 © 2007 Springer-Verlag.

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Publication fingerprints text

100
Condition number Mathematics
69
Cauchy matrix Mathematics
66
Vandermonde matrix Mathematics
62
Structured matrices Mathematics
60
Hankel matrix Mathematics
60
Upper triangular ma... Mathematics
55
Toeplitz matrix Mathematics
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Citation Format(s)

[ RIS ] [ BibTeX ]
Mixed and componentwise condition numbers for rectangular structured matrices. / Cucker, Felipe; Diao, Huaian.
In: Calcolo, Vol. 44, No. 2, 06.2007, p. 89-115.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review