engineering recuitment AAI JE Technical Mock Test 2020-21 Engineering Mathematics Numerical Methods Numerical Solutions of Nonlinear Algebraic Equations
The iteration formula to find the reciprocal of a given number N by Newton’s method is
1
\({{\rm{x}}_{{\rm{i}} + 1}} = {{\rm{x}}_{\rm{i}}}\left( {2 - {\rm{N}}{{\rm{x}}_{\rm{i}}}} \right)\)
2
\({{\rm{x}}_{{\rm{i}} + 1}} = {{\rm{x}}_{\rm{i}}} - {\rm{Nx}}_{\rm{i}}^2\)
3
\({{\rm{x}}_{{\rm{i}} + 1}} = 2 - {\rm{N}}{{\rm{x}}_{\rm{i}}}\)
4
\({{\rm{x}}_{{\rm{i}} + 1}} = {{\rm{x}}_{\rm{i}}}\left( {2 + {\rm{N}}{{\rm{x}}_{\rm{i}}}} \right)\)