Modification of Greville's algorithm for removing columns (rows) when constructing a pseudo-inverse matrix
✍ Scribed by V.I. Erokhin; V.V. Kashmet; N.V. Lisitsyn
- Publisher
- Elsevier Science
- Year
- 1989
- Weight
- 43 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0041-5553
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✦ Synopsis
iii [~/"); ~")]=[u/"); ~.(")] the eigenvalues AJ'(q) were approximated with a relative error of less than 5xi0-' for [lJ'(q)[>], and with the same absolute error if [~.~.'(q)I<l. The results of a calculation of the coefficients C(~)~ are presented in sixteen tables.
To check the accuracy of the operation of the algorithm,based on approximating the eigenvalues ~c., (q) by Chebyshev polynomials, the eigenvalues were compared with their values taken from tables, and also with the values calculated from the characteristic equations. We found no differences which exceeded five units in the seventh significant figure. This enables us to recommend this algorithm for use in practice.
Translated by R.C.G.