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On the stability of finite numerical procedures. (English) Zbl 0227.65032


MSC:

65F05 Direct numerical methods for linear systems and matrix inversion
65G50 Roundoff error
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References:

[1] Bauer, F. L.: Numerische Abschätzung und Berechnung von Eigenwerten nichtsymmetrischer Matrizen. Aplikace Matematiky10, 178?189 (1965). · Zbl 0156.16302
[2] Forsythe, G., Moler, C. B.: Computer solution of linear algebraic systems. Englewood Cliffs, N. J.: Prentice-Hall 1967. · Zbl 0154.40401
[3] Meinguet, J.: On the estimation of significance. In: Topics in interval analysis (E. Hansen, ed.), p. 47?64. Oxford: Clarendon Press 1969. · Zbl 0216.13501
[4] Miller, W.: A note on the instability of Gaussian elimination. BIT11, 422?424 (1971). · Zbl 0231.65033 · doi:10.1007/BF01939411
[5] Miller, W.: Automatic a priori round-off analysis, I. Submitted. · Zbl 0261.65037
[6] Miller, W., Paulhamus, R.: Automatic a priori round-off analysis, II. In preparation.
[7] Rudin, W.: Principles of mathematical analysis (second edition). New York: McGraw-Hill 1964. · Zbl 0148.02903
[8] Wilkinson, J. H.: The algebraic eigenvalue problem. Oxford: Clarendon Press 1965. · Zbl 0258.65037
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