How to Make the Lanczos Algorithm Converge Slowly
Copyright policy ) Scott, D. S.;
How to Make the Lanczos Algorithm Converge Slowly
The Paige style Lanczos algorithm is an iterative method for finding a few eigenvalues of large sparse symmetric matrices. Some beautiful relationships among the elements of the eigenvectors of a symmetric tridiagonal matrix are used to derive a perverse starting vector which delays convergence as long as possible. Why such slow convergence is never seen in practice is also examined.
- University of California, Berkeley United States
Numerical computation of eigenvalues and eigenvectors of matrices, Lanczos Process, Large Sparse Symmetric Matrix, Round-Off Error, Eigenvectors, Slow Convergence
Numerical computation of eigenvalues and eigenvectors of matrices, Lanczos Process, Large Sparse Symmetric Matrix, Round-Off Error, Eigenvectors, Slow Convergence
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selected citations
Citations provided by BIP!
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 17
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