arithmetic mean

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11—13 of 13 matching pages

11: 15.8 Transformations of Variable

… ►This is used in a cubic analog of the arithmetic-geometric mean. …

12: 3.10 Continued Fractions

… ►For several special functions the

S

-fractions are known explicitly, but in any case the coefficients

a_{n}

can always be calculated from the power-series coefficients by means of the quotient-difference algorithm; see Table 3.10.1. … ►We continue by means of the rhombus rule … ►The quotient-difference algorithm is frequently unstable and may require high-precision arithmetic or exact arithmetic. … ►The

A_{n}

and

B_{n}

of (3.10.2) can be computed by means of three-term recurrence relations (1.12.5). …

13: Bibliography M

… ►

D. W. Matula and P. Kornerup (1980) Foundations of Finite Precision Rational Arithmetic. In Fundamentals of Numerical Computation (Computer-oriented Numerical Analysis), G. Alefeld and R. D. Grigorieff (Eds.), Comput. Suppl., Vol. 2, Vienna, pp. 85–111.

ⓘ

External Links:: MathReview (G. Blanch), ZentralBlatt
Referenced by:: §3.1(iii).
Encodings:: BibTeX

… ►

H. R. McFarland and D. St. P. Richards (2001) Exact misclassification probabilities for plug-in normal quadratic discriminant functions. I. The equal-means case. J. Multivariate Anal. 77 (1), pp. 21–53.

ⓘ

External Links:: ISSN 0047-259X, Document, MathReview (Peter A. Lachenbruch), ZentralBlatt
Referenced by:: §35.9.
Encodings:: BibTeX

… ►

X. Merrheim (1994) The computation of elementary functions in radix

2^{p}

. Computing 53 (3-4), pp. 219–232.

ⓘ

Notes:: International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (Vienna, 1993)
External Links:: ISSN 0010-485X, Document, MathReview, ZentralBlatt
Referenced by:: §4.45(i).
Encodings:: BibTeX

… ►

mpmath (free python library)

ⓘ

Notes:: Mpmath is a pure-Python library for multiprecision floating-point arithmetic. It provides an extensive set of transcendental functions, unlimited exponent sizes, complex numbers, interval arithmetic, numerical integration and differentiation, root-finding, linear algebra, and much more.
External Links:: mpmath
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Encodings:: BibTeX

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