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