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Consider an iter ative method to solve the equaction fu2=0,XETA,b] off the form. be a simple root of the equation fx)-0 Ond assume f and g to be two times differentiable near P. let a. Determine a relation between f and 9 that fnsumes gt least quadratic convergenle of the 7terative procedure" b. Determine a relation between f and at least cubic Convergenie of the terative pxedane a that ensures. 9.

Consider an iter ative method to solve the equaction fu2=0,XETA,b] off the form. be a simple root of the equation fx)-0 Ond assume f and g to be two times differentiable near P. let a. Determine a relation between f and 9 that fnsumes gt least quadratic convergenle of the 7terative procedure" b. Determine a relation between f and at least cubic Convergenie of the terative pxedane a that ensures. 9.

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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2. Consider an iterative method to solve the equaction fa2=0, XETA,bI of the for m. let p be a sîmple root of the equation fox)=0 Ond assume f and 9 to be two times differentiable near P. a Determine a relation between f and 9 that tnsumes gt least quadrotic convergenle procedure of the 7terative that ensures 5 Determine a relation betweenf and at least cubic Convergenie of the Pterative praedare 9.
Transcribed Image Text:2. Consider an iterative method to solve the equaction fa2=0, XETA,bI of the for m. let p be a sîmple root of the equation fox)=0 Ond assume f and 9 to be two times differentiable near P. a Determine a relation between f and 9 that tnsumes gt least quadrotic convergenle procedure of the 7terative that ensures 5 Determine a relation betweenf and at least cubic Convergenie of the Pterative praedare 9.
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