Abstract
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.
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Peng, Y., Chang, J., Yan, Y. (2013). Solutions of Ill-Posed Linear Equations. In: Yang, Y., Ma, M., Liu, B. (eds) Information Computing and Applications. ICICA 2013. Communications in Computer and Information Science, vol 392. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-53703-5_55
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DOI: https://doi.org/10.1007/978-3-642-53703-5_55
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-53702-8
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