Abstract
Mathematically equivalent but computationally different ways of computing a result can lead to totally different answers. Some simple problems in linear systems will be used to illustrate this difficulty. The reasons for the failure of some well known algorithms will be given, along with insights into the design of good numerical algorithms in this and related areas.
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© 1982 Springer-Verlag
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Paige, C. (1982). Some numerical problems arising from linear systems. In: Drenick, R.F., Kozin, F. (eds) System Modeling and Optimization. Lecture Notes in Control and Information Sciences, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006122
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DOI: https://doi.org/10.1007/BFb0006122
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11691-2
Online ISBN: 978-3-540-39459-4
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