Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 12 Issue 1
- /
- Pages.145-155
- /
- 1997
- /
- 1225-1763(pISSN)
- /
- 2234-3024(eISSN)
Inter-conversion between the power and Arnoldi`s methods
Abstract
We present a couple of tools that can be used in the solution of nonsymmetric eigenvalue problems. The first one allows us to convert power iterates into Arnoldi's results so that a few eigenpairs are easily obtainable. The other converts Arnoldi's results into power iterates to simulate the power method and improve the result. Suggestions for application are also given.
Keywords
- Arnoldi's method;
- the power method;
- inter-conversion;
- nonsymmetric eigenvalue problems;
- Krylov subspace