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Numerical solution of large nonsymmetric eigenvalue problems
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Saad, Youcef |
| Copyright Year | 1988 |
| Description | Several methods are discribed for combinations of Krylov subspace techniques, deflation procedures and preconditionings, for computing a small number of eigenvalues and eigenvectors or Schur vectors of large sparse matrices. The most effective techniques for solving realistic problems from applications are those methods based on some form of preconditioning and one of several Krylov subspace techniques, such as Arnoldi's method or Lanczos procedure. Two forms of preconditioning are considered: shift-and-invert and polynomial acceleration. The latter presents some advantages for parallel/vector processing but may be ineffective if eigenvalues inside the spectrum are sought. Some algorithmic details are provided that improve the reliability and effectiveness of these techniques. |
| File Size | 1949609 |
| Page Count | 33 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19890017268 |
| Archival Resource Key | ark:/13960/t5q866q0m |
| Language | English |
| Publisher Date | 1988-11-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Hermitian Polynomial Algorithms Computer Systems Performance Eigenvalues Problem Solving Eigenvectors Parallel Processing Computers Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
