Electronic Resource
Springer
Numerische Mathematik
29 (1977), S. 37-43
ISSN:
0945-3245
Keywords:
AMS (MOS): 65G05
;
CR: 5.11, 5.14
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary Techniques are emerging which automatically determine the effects of rounding error upon numerical methods of a certain type. Meaningful testing presupposes a reasonable basis for comparison. Typically, the error's effects upon a given method are compared either (i) with the effects of perturbing the computational problem or (ii) with the effects of rounding error upon a competing method. We show that the result of a type (ii) comparison often remains valid when the two methods are adapted for “sparse” data, though the comparison might be based upon a model of error propagation which requires that special care be taken. This observation sometimes provides a rationale for preferring comparisons (ii), since the results of type (i) comparisons may well not carry over to sparse data.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01389311
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