Subspace gap residuals for Rayleigh-Ritz approximations (CROSBI ID 139399)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Bosner, Nela ; Drmač, Zlatko
engleski
Subspace gap residuals for Rayleigh-Ritz approximations
Large scale eigenvalue and singular value computations are usually based on extracting information from a compression of the matrix to suitably chosen low dimensional subspaces. This paper introduces new a posteriori relative error bounds based on a residual expressed using the largest principal angle (gap) between relevant subspaces. The eigenvector approximations are estimated using subspace gaps and relative separation of the eigenvalues.
eigenvalues ; Rayleigh--Ritz approximation ; singular values ; subspace gap
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Podaci o izdanju
31 (1)
2009.
54-67
objavljeno
0895-4798
1095-7162
10.1137/070689425