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A note on partial pivoting and Gaussian elimination. (English) Zbl 0351.65009


MSC:

65F05 Direct numerical methods for linear systems and matrix inversion
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References:

[1] Keller, H.B.: Accurate difference methods for nonlinear two-point boundary value problems. SIAM J. Numer. Anal.11, 305-320 (1974) · Zbl 0282.65065 · doi:10.1137/0711028
[2] Reid, J.K.: A note on the stability of Gaussian elimination. J. Inst. Math. Appl.8, 374-375 (1971) · Zbl 0229.65030 · doi:10.1093/imamat/8.3.374
[3] van der Sluis, A.: Syllabus Toegepaste Analyse [in Dutch], Rijks-Universiteit, Utrecht, 1969
[4] van der Sluis, A.: Condition, equilibration and pivoting in linear algebraic systems. Numer. Math.15, 74-86 (1970) · Zbl 0182.49002 · doi:10.1007/BF02165662
[5] Varah, J.M.: A tale of two methods for solving two-point boundary value problems. In: Numerical solutions of boundary value problems for ordinary differential equations. New York: Academic Press 1975 · Zbl 0308.65053
[6] Varah, J.M.: A comparison of some numerical methods for two-point boundary value problems. Math. Comput.28, 743-755 (1974) · Zbl 0292.65045 · doi:10.1090/S0025-5718-1974-0373300-4
[7] Weiss, R.: The application of implicit Runge-Kutta and collocation methods to boundary value problems. Math. Comput.28, 449-464 (1974) · Zbl 0284.65067
[8] Wilkinson, J.H.: Error analysis of direct methods of matrix inversion. J. Assoc. Comput. Mach.8, 281-330 (1961) · Zbl 0109.09005
[9] Wilkinson, J.H.: The algebraic eigenvalue problem. London-Oxford: Univesity Press 1965 · Zbl 0258.65037
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