1. Consider the system of algebraic equations Xị + x22 – 2.5 = 0 X1 X2 +3x12 – 3.1 = 0 The Newton-Raphson (NR) method is to be used to solve it with initial guess X0,1 X, = Calculate the Jacobian matrix for the above system at any iteration value Xk. What would be a clearly unacceptable value of initial guess xo.1? (Fully justify this answer) a Calculate the inverse of the Jacobian matrix at any iteration value x. Using xo,1 = 1, perform by hand one iteration of the NR algorithm. b

1. Consider the system of algebraic equations Xị + x22 – 2.5 = 0 X1 X2 +3x12 – 3.1 = 0 The Newton-Raphson (NR) method is to be used to solve it with initial guess X0,1 X, = Calculate the Jacobian matrix for the above system at any iteration value Xk. What would be a clearly unacceptable value of initial guess xo.1? (Fully justify this answer) a Calculate the inverse of the Jacobian matrix at any iteration value x. Using xo,1 = 1, perform by hand one iteration of the NR algorithm. b

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 30E

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