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On the equivalence of gaussian elimination and gauss-jordan reduction in solving linear equations
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Tsao, Nai-Kuan |
| Copyright Year | 1989 |
| Description | A novel general approach to round-off error analysis using the error complexity concepts is described. This is applied to the analysis of the Gaussian Elimination and Gauss-Jordan scheme for solving linear equations. The results show that the two algorithms are equivalent in terms of our error complexity measures. Thus the inherently parallel Gauss-Jordan scheme can be implemented with confidence if parallel computers are available. |
| File Size | 460129 |
| Page Count | 22 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19890011339 |
| Archival Resource Key | ark:/13960/t87h6gw21 |
| Language | English |
| Publisher Date | 1989-02-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Error Analysis Algorithms Gaussian Elimination Theorem Proving Linear Equations Parallel Processing Computers Matrices Mathematics Ntrs Nasa Technical Reports ServerĀ (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |