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Globally convergent techniques in nonlinear newton-krylov
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Saad, Youcef Brown, Peter N. |
| Copyright Year | 1989 |
| Description | Some convergence theory is presented for nonlinear Krylov subspace methods. The basic idea of these methods is to use variants of Newton's iteration in conjunction with a Krylov subspace method for solving the Jacobian linear systems. These methods are variants of inexact Newton methods where the approximate Newton direction is taken from a subspace of small dimensions. The main focus is to analyze these methods when they are combined with global strategies such as linesearch techniques and model trust region algorithms. Most of the convergence results are formulated for projection onto general subspaces rather than just Krylov subspaces. |
| File Size | 1688514 |
| Page Count | 40 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19920001091 |
| Archival Resource Key | ark:/13960/t52g2mw8b |
| Language | English |
| Publisher Date | 1989-11-01 |
| Access Restriction | Open |
| Subject Keyword | Computer Programming And Software Linear Systems Conjugate Gradient Method Computer Programming Numerical Analysis Algorithms Iterative Solution Theorem Proving Newton Methods Iteration Nonlinear Systems Matrices Mathematics Convergence 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 |
