Use the answers obtained in Exercise 3 as initial approximations to Newton 's method Iterate until x(k) x(k1) In exercise a b sin(4 Iuml x1 x2) 2x2 x1 0, c x1(1 x1) 4x2 12, (x1 2)2 (2x2 3)2 25 d 5x21 x22 0, x2 0 25 (sin x1 cos x2) 0 4x2 20X1 8 0 4 4...

Newtons method gives the following a With x 0 05 2 t x 3 05 2 t With x 0 11 61 x 3 ...

Use the answers obtained in Exercise 3 as initial approximations to Newton's method. Iterate until || x(k)

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Use the answers obtained in Exercise 3 as initial approximations to Newton's method. Iterate until || x(k) ˆ’ x(kˆ’1)||ˆž In exercise
a.

b. sin(4Ï€x1 x2) ˆ’ 2x2 ˆ’ x1 = 0,

c. x1(1 ˆ’ x1) + 4x2 = 12,
(x1 ˆ’ 2)2 + (2x2 ˆ’ 3)2 = 25.
d. 5x21 ˆ’ x22 = 0,
x2 ˆ’ 0.25 (sin x1 + cos x2) = 0.

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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Question Posted: Mar 22, 2016 03:07 AM

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Use the answers obtained in Exercise 3 as initial approximations to Newton's method. Iterate until || x(k)

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4x2-20X1 + 걘 + 8 = 0. 4 4π

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Newtons method gives the following a With x 0 05 2 t x 3 05 2 t With x 0 11 61 x 3 ...View the full answer

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