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Complex symmetric matrices with strongly stable iterates
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Tadmor, E. |
| Copyright Year | 1985 |
| Description | Complex-valued symmetric matrices are studied. A simple expression for the spectral norm of such matrices is obtained, by utilizing a unitarily congruent invariant form. A sharp criterion is provided for identifying those symmetric matrices whose spectral norm is not exceeding one: such strongly stable matrices are usually sought in connection with convergent difference approximations to partial differential equations. As an example, the derived criterion is applied to conclude the strong stability of a Lax-Wendroff scheme. |
| File Size | 510902 |
| Page Count | 28 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19850012421 |
| Archival Resource Key | ark:/13960/t6zw6b69j |
| Language | English |
| Publisher Date | 1985-02-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Stability Congruences Partial Differential Equations Eigenvalues Complex Variables Iteration Eigenvectors Criteria Invariance Spectral Methods Matrices Mathematics Symmetry 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 |
