Mixed and componentwise condition numbers for rectangular structured matrices

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. [P...

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Bibliographic Details
Published inCalcolo Vol. 44; no. 2; pp. 89 - 115
Main Authors Cucker, Felipe, Diao, Huaian
Format Journal Article
LanguageEnglish
Published Milano Springer Nature B.V 01.06.2007
Subjects
Mathematical problems
Matrix
Numerical analysis
Online AccessGet full text
ISSN0008-0624
1126-5434
DOI10.1007/s10092-007-0130-3

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Summary: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. [PUBLICATION ABSTRACT]
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ISSN:0008-0624
1126-5434
DOI:10.1007/s10092-007-0130-3