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Diagonal scaling of a special type and its benefits
Author(s) -
Šanca Ernest,
Kostić Vladimir
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310200
Subject(s) - scaling , diagonal , convergence (economics) , linear algebra , mathematics , inverse , matrix (chemical analysis) , norm (philosophy) , diagonally dominant matrix , algebra over a field , diagonal matrix , pure mathematics , invertible matrix , geometry , materials science , political science , law , economics , composite material , economic growth
For certain subclasses of H‐matrices we will exploit the structure of their scaling matrix to improve known results in several areas of applied linear algebra: convergence theory of relaxation methods, estimation of infinity norm of the matrix inverse and determinant estimation. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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