Use Broyden's method with x(0) = 0 to compute x(2) for each of the following nonlinear systems.

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Use Broyden's method with x(0) = 0 to compute x(2) for each of the following nonlinear systems.
a.
Use Broyden's method with x(0) = 0 to compute x(2)

b. x21 + x2 ˆ’ 37 = 0,
x1 ˆ’ x22ˆ’ 5 = 0,
x1 + x2 + x3 ˆ’ 3 = 0.
c. x31 + x21 x2 ˆ’ x1 x3 + 6 = 0,
ex1 + ex2 ˆ’ x3 = 0,
x22ˆ’ 2x1x3 = 4.
Use x(0) = (ˆ’1,ˆ’2, 1)t .
d.

Use Broyden's method with x(0) = 0 to compute x(2)

Use x(0) = (0, 0, 0)t.

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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