Rational Lanczos approximations to the matrix square root and related functions | Zendy

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Rational Lanczos approximations to the matrix square root and related functions

Author(s) -

Moret Igor

Publication year - 2009

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.625

Subject(s) - lanczos resampling , mathematics , convergence (economics) , matrix (chemical analysis) , approximations of π , square root , lanczos algorithm , rational function , mathematical analysis , eigenvalues and eigenvectors , geometry , physics , materials science , quantum mechanics , economics , composite material , economic growth

We consider restricted rational Lanczos approximations to matrix functions representable by some integral forms. A convergence analysis that stresses the effectiveness of the proposed method is developed. Error estimates are derived. Numerical experiments are presented. Copyright © 2008 John Wiley & Sons, Ltd.

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