ISSN:
1572-9125
Keywords:
Structured perturbations
;
condition number
;
backward error
;
linear systems
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We present a formulation for the structured condition number and for the structured backward error for the linear system A* Ax = b, when the rectangular matrix A is subjected to normwise perturbations. Perturbations on the data A and the solution x are measured in the Frobenius norm. Numerical experiments are provided that show the relevance of this condition number in the prediction of the computing error when solving such systems.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1022366318322
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