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4. Methods for uTf (A)v
In this section we describe how to use quadrature methods to calculate approximations of u T f (A)v (see ). The matrix A is assumed to be real symmetric and we use the spectral decomposition of A written as A = ZDZ T , where Z is an orthonormal matrix whose columns are the normalized eigenvectors of A and D is a diagonal matrix whose diagonal elements are the eigenvalues λ i of A, which are ordered as follows
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Methods for uTf (A)v
Bibliography
Software tools
CISIA June 2000 The Bayesian (Windows Vista version)
CISIA 1 avenue Herbillon, 94160 Saint-Mandé, France
The available software tools are described in the text
Websites
mft_toolbox for Matlab :
http://www.maths.manchester.ac.uk/∼higham
expohit toolbox for Matlab :
http://www.maths.uq.edu.au/expokit/
Matlab functions containing exponential integrators for differential...
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The Ultimate Scientific and Technical Reference