(10.117) diminishes, and the iterative process is driven toward the steepest descent, while for small α k the ∇ 2 Φ k terms influence more the iterative scheme and it becomes more like the Newton-Raphson method. When α k ≫ 1, the effect of ∇ 2 Φ k in Eq. Where the Lagrange multiplier α k > 0 ensures that ∇ 2 Φ k α k I is positive definite, even if ∇ 2 Φ k is not. Write a C program to find the root of the equation sin(x) ģcos(x) =2 using Secant method.(10.117) c ( k 1 ) = c ( k ) − τ k ∇ 2 Φ k α k I − 1 ∇ Φ k becomes previous and it is approximation for the next iterationĬout
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