Computing Aα, 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 A½ 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 with...

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Bibliographic Details
Main Authors: Hale, N, Higham, N, Trefethen, L
Format: Report
Published: Unspecified 2007