Filon rule

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31—35 of 35 matching pages

31: 3.3 Interpolation

… ►and compute an approximation to

a_{1}

by using Newton’s rule (§3.8(ii)) with starting value

x=-2.5

. …Then by using

x_{3}

in Newton’s interpolation formula, evaluating

\left[x_{0},x_{1},x_{2},x_{3}\right]f=-0.26608\;28233

and recomputing

f^{\prime}(x)

, another application of Newton’s rule with starting value

x_{3}

gives the approximation

x=2.33810\;7373

, with 8 correct digits. …

32: 3.2 Linear Algebra

… ►Because of rounding errors, the residual vector

\mathbf{r}=\mathbf{b}-\mathbf{A}\mathbf{x}

is nonzero as a rule. …

33: 3.6 Linear Difference Equations

… ►or for systems of

k

first-order inhomogeneous equations, boundary-value methods are the rule rather than the exception. …

34: Bibliography O

… ►

M. L. Overton (2001) Numerical Computing with IEEE Floating Point Arithmetic. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA.

ⓘ

Notes:: Including one theorem, one rule of thumb, and one hundred and one exercises
External Links:: ISBN 0-89871-482-6, MathReview (Jesse L. Barlow), ZentralBlatt
Referenced by:: §3.1(i).
Encodings:: BibTeX

35: 1.2 Elementary Algebra

… ►This is the row times column rule. …