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Evaluation of expressions involving higher order derivations
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Grossman, Robert |
| Copyright Year | 1990 |
| Description | The local geometric properties of a nonlinear control system defined by vector fields E(sub 1),..., E(sub M) are determined by the algebraic properties of the iterated Lie brackets of the E(sub j)'s. The problem of rewriting expressions is examined involving the E(sub j)'s in terms of the D(sub mu)'s in such a way as to handle effectively any cancellation occurring due to commuting of the D(sub mu)'s. A data structure is introduced which allows us to organize the computation to take advantage of the symmetries in the expression and reduce the operation count. |
| File Size | 489098 |
| Page Count | 19 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19910004636 |
| Archival Resource Key | ark:/13960/t1jh8g01h |
| Language | English |
| Publisher Date | 1990-05-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Field Theory Algebra Vector Analysis Data Structures Iteration Trees Mathematics Algebra Algorithms Operators Mathematics Computation Differential Equations Lie Groups Vectors Mathematics Nonlinear Systems 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 |
