On Solving Some Large Linear Problems: By Direct Methods
DOI:
https://doi.org/10.7146/dpb.v9i111.6529Resumé
A general scheme for obtaining approximations bar(x) to x = A^* b where A^* is the pseudo-inverse of A is proposed. It is shown that if the computations are performed without rounding errors then bar(x)=x. It is demonstrated how some well known and commonly used special methods can be found from the general scheme. In the case where A is large and sparse we give some general rules which often lead to a considerable reduction of the computing time and/or the storage needed and to an improved accurary. The efficiency of the suggesed general rules is illustrated by numerical results.Downloads
Publiceret
1980-02-01
Citation/Eksport
Zlatev, Z. (1980). On Solving Some Large Linear Problems: By Direct Methods. DAIMI Report Series, 9(111). https://doi.org/10.7146/dpb.v9i111.6529
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Articles published in DAIMI PB are licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.