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The structured distance to normality of Toeplitz matrices with application to preconditioning
Author(s) -
Noschese Silvia,
Reichel Lothar
Publication year - 2011
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.735
Subject(s) - toeplitz matrix , circulant matrix , mathematics , levinson recursion , matrix (chemical analysis) , subspace topology , normality , algebra over a field , pure mathematics , discrete mathematics , mathematical analysis , statistics , materials science , composite material
A formula for the distance of a Toeplitz matrix to the subspace of {e iϕ }‐circulant matrices is presented, and applications of {e iϕ }‐circulant matrices to preconditioning of linear systems of equations with a Toeplitz matrix are discussed. Copyright © 2010 John Wiley & Sons, Ltd.
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