منابع مشابه
Arnoldi-Tikhonov regularization methods
Tikhonov regularization for large-scale linear ill-posed problems is commonly implemented by determining a partial Lanczos bidiagonalization of the matrix of the given system of equations. This paper explores the possibility of instead computing a partial Arnoldi decomposition of the given matrix. Computed examples illustrate that this approach may require fewer matrix-vector product evaluation...
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Title of dissertation: Residual Arnoldi Methods : Theory, Package, and Experiments Che-Rung Lee, Doctor of Philosophy, 2007 Dissertation directed by: Professor G.W. Stewart Department of Computer Science This thesis is concerned with the solution of large-scale eigenvalue problems. Although there are good algorithms for solving small dense eigenvalue problems, the large-scale eigenproblem has m...
متن کاملArnoldi Methods in SLEPc
About SLEPc Technical Reports: These reports are part of the documentation of slepc, the Scalable Library for Eigenvalue Problem Computations. They are intended to complement the Users Guide by providing technical details that normal users typically do not need to know but may be of interest for more advanced users.
متن کاملMultigrid Arnoldi for Eigenvalues
A new approach is given for computing eigenvalues and eigenvectors of large matrices. Multigrid is combined with the Arnoldi method in order to solve difficult problems. First, a two-grid method computes eigenvalues on a coarse grid and improves them on the fine grid. On the fine grid, an Arnoldi-type method is used that, unlike standard Arnoldi methods, can accept initial approximate eigenvect...
متن کاملThe parallel rational Arnoldi algorithm
Since version 2.4 of the RKToolbox, the rat krylov function can simulate the parallel construction of a rational Krylov basis. This is done by imposing various nonzero patterns in a so-called continuation matrix T . Simply speaking, the j-th column of this matrix contains the coefficients of the linear combination of j rational Krylov basis vectors which have been used to compute the next (j + ...
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ژورنال
عنوان ژورنال: The Lancet
سال: 1833
ISSN: 0140-6736
DOI: 10.1016/s0140-6736(02)94955-x