May 2015
Intermediate to advanced
246 pages
6h 33m
English
book
A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing
by Daniel Cohen-Or, Chen Greif, Tao Ju, Niloy J. Mitra, Ariel Shamir, Olga Sorkine-Hornung, Hao Zhang
Content preview from A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing
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96 Solution of Linear Systems
• If your matrix is symmetric indefinite, large and
sparse. MINRES is a popular iterative method in this case.
It is based on short recurrences that minimize the norm of
the residual within the Krylov subspace.
• If your matrix is nonsymmetric, large and sparse.
The choice of a method here depends on storage require-
ments. If you are not particularly limited in terms of mem-
ory resources, then GMRES is a very effective method: it
minimizes the residual within the Krylov subspace and is
very robust. Restarted versions of GMRES keep the mem-
ory requirements at a cap, at the price of compromising on
the minimization propert
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