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)Please answer in legible and clear handwriting.

)Please answer in legible and clear handwriting.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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S7)Please answer in legible and clear handwriting.

7) Let x„, Xn-1,..., x„-i be a sequence of successive approximation vectors to the solution of the nonlinear system f(x) = 0, and L¡ are defined such that k k ELi = 1 and > Lf(x„-i) = 0. i=0 i=0 Defining Xn+1 = > Lixn-i; i=0 show that by choosing k = 1, the iteration is analogous to the secant method for finding zeroes of a nonlinear function.
Transcribed Image Text:7) Let x„, Xn-1,..., x„-i be a sequence of successive approximation vectors to the solution of the nonlinear system f(x) = 0, and L¡ are defined such that k k ELi = 1 and > Lf(x„-i) = 0. i=0 i=0 Defining Xn+1 = > Lixn-i; i=0 show that by choosing k = 1, the iteration is analogous to the secant method for finding zeroes of a nonlinear function.
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