Generalization of Heaviside's Expansion Technique to Transition Matrix Evaluation
Bibliographic Data
| ID | 20295501 |
|---|---|
| Authors | C F Chen (0009-0002-1778-5003, University of Houston), R R Parker |
| Year | 1966 |
| Volume | 9 |
| Issue | 4 |
| Pages | 209-212 |
| Publication date | 1966-12-01 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | IEEE Transactions on Education (JOURNAL) |
| Journal identifiers | ISSN: 0018-9359 • E-ISSN: 1557-9638 |
| Publisher | Institute of Electrical and Electronics Engineers (IEEE) (PUBLISHER) |
| DOI | 10.1109/te.1966.4321991 |
| OpenAlex | W2010352113 |
| Language | EN |
| Citations received | 1 |
| References cited | 1 |
The well-known technique of the Heaviside partial fraction expansion is generalized and extended to the state transition matrix determination. The new approach is more convenient than the direct inversion of a square matrix, on one hand, and is much simpler than Sylvester's expansion method, on the other. Two examples (one is a system with distinct roots and one with multiple roots) are included for illustrating the procedures and showing the simplicity of the method
Algorithm · Eigenvalues and eigenvectors · Generalization · Heaviside step function · Inversion (geology) · Mathematical analysis · Matrix (chemical analysis) · Partial fraction decomposition · Physics · State-transition matrix · Symmetric matrix · Advanced Physical and Chemical Molecular Interactions · Applied Mathematics · Mathematics · Matrix Theory and Algorithms · Scientific Research and Discoveries
| Citations per year | 0.02 |
|---|---|
| Citation span | 1967 - 1967 (1) |
| Highly cited | No |