2013 | OriginalPaper | Buchkapitel
Solutions of Ill-Posed Linear Equations
verfasst von : Yamian Peng, Jincai Chang, Yan Yan
Erschienen in: Information Computing and Applications
Verlag: Springer Berlin Heidelberg
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Linear system of equations is been used more and more widely in social life. Most people use the estimated value for a variety of computing that will cause a lot of errors. Familiar with a variety of ill-posed linear equations solution can make us grasp the algorithm and make the error reduce to the minimum in practice, thereby increasing the accuracy to reduce unnecessary trouble. The
Ax
=
b
calculation solution equivalent to solve the (
A
+
E
)
x
=
b
perturbation equations of floating point error analysis results shown. We choose algorithm to make the ||
E
|| as small as possible. In order to simplify the calculation, the perturbation matrix generally desirable as the simplest rank one type, this paper discusses the problem and gives a feasible algorithm.