Sur, BN (1977) On the arithmetic operations and propagation of rounding error in gram-schmidt's process of orthonormalisation in recursive form. Technical Report. National Aeronautical Laboratory, Bangalore, India.
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Abstract
Gram-Schmidt's process of orthonormalisation can be expressed in two forms. One of them directly orthonormalises and the other one orthogonalises first and then normalises.13; The number of arithmetic operations involved in these two forms is formulated in this report. It is found that one of them requires less number of operations. By taking a 13; speeipic example the following are demonstrated.,numerically13; in this report.13; I} An attempt to generate a large number of orthonormal13; funetions by the above process leads to unreliable numerical13; results due to round-off effect.13; 2) The propagation of error is so severe that even if13; we associate the process with a.method suggested by Davis13; to alleviate this round-off effect the numerical results13; cannot be improved.
| Item Type: | Proj.Doc/Technical Report (Technical Report) |
|---|---|
| Uncontrolled Keywords: | Gram-schmidt's;Orthonormalisation;Arithmetic operations; Round-off effect;Propagation |
| Subjects: | MATHEMATICAL AND COMPUTER SCIENCES > Mathematical and Computer Scienes(General) |
| Division/Department: | Materials Science Division |
| Depositing User: | M/S ICAST NAL |
| Date Deposited: | 03 Nov 2006 |
| Last Modified: | 24 May 2010 09:52 |
| URI: | http://nal-ir.nal.res.in/id/eprint/3184 |
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