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Abstract

Systems of linear equations and their solution by Gaussian elimination using partial pivoting and iterative refinement. Solving sparse systems more effectively using Gauss–Seidel elimination. Recognising and limiting round-off error.

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Notes

  1. 1.

    Institute of Electrical and Electronics Engineers

  2. 2.

    David Hilbert, 1862–1943. In 1900 he put forward a list of 23 important unsolved problems some of which remain unsolved.

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Correspondence to C. Woodford .

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© 2012 Springer Science+Business Media B.V.

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Woodford, C., Phillips, C. (2012). Linear Equations. In: Numerical Methods with Worked Examples: Matlab Edition. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1366-6_2

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