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Questions tagged [newton]

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3
votes
0answers
237 views

Quasi Newton method for block diagonal Hessian

I am having an unconstrained optimization problem, where the Hessian is positive semidefinite and block diagonal. The function is strictly convex, hence, the curvature condition ($ s^{T}_{k}y_{k} > ...
0
votes
1answer
97 views

Actually calculating the rate of convergence of iteratvie methods when exact solution is unknown

When solving a system of nonlinear equations using iterative methods, the rate of convergence usually is defined by the following formula: (1) where x* is the exact solution. However usually we ...
2
votes
1answer
897 views

2-body problem with Fortran 95

I am trying to implement the N-body problem using Fortran 95. Before generalizing it to N bodies, I am first trying to calculate the motion of a single orbiting body (body 2 in my code below) around a ...
3
votes
2answers
2k views

What is the difference between “Newton-type” and “Newton-like” iteration?

Is there any clear classification between different iterative methods? What is the difference between Newton-type and ...