Computing AAlpha, log(A), and Related Matrix Functions by Contour Integrals.

Computing AAlpha, log(A), and Related Matrix Functions by Contour Integrals.

New methods are proposed for the numerical evaluation of f(A) or f(A)b, where f(A) is a function such as A1/2 or log(A) with singularities in (-∞, 0] and A is a matrix with eigenvalues on or near (0, ∞). The methods are based on combining contour integrals evaluated by the periodic trapezoid rule wi...

Полное описание

Библиографические подробности
Главные авторы:	Hale, N, Higham, N, Trefethen, L
Формат:	Journal article
Язык:	English
Опубликовано:	2008

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