Newton-Raphson iteration

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(algorithm)

Newton-Raphson iteration - An iterative algorithm for solving equations. Given an equation,

f x = 0

and an initial approximation, x(0), a better approximation is given by:

x(i+1) = x(i) - f(x(i)) / f'(x(i))

where f'(x) is the first derivative of f, df/dx.

Newton-Raphson iteration is an example of an anytime algorithm in that each approximation is no worse than the previous one.

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No references found			Newton-Raphson iteration algorithm (Williams et al. Modeling for predicting frost behavior of a fin-tube heat exchanger ... by Shokouhmand, H; Esmaili, E; Veshkini, A; Sarabi, Y / ASHRAE Transactions Several integration schemes are used in conjunction with the Newton-Raphson iteration technique to ensure equilibrium at the end of each step. Nonlinear dynamic analysis of thin shells using a finite element with ... by Djermane, M.; Chelghoum, A.; Amieur, B. / International Journal of Applied Engineering Research The system of nonlinear melt flow equations is solved via a Newton-Raphson iteration that facilitates efficient computation of the design sensitivities. Optimization-based design of polymer sheeting dies using generalized ... by Smith, Douglas E.; Wang, Qi / Polymer Engineering and Science			Newton's identity Newton's inequality Newton's law of cooling Newton's Law of Gravitation Newton's law of resistance Newton's Laws of Motion Newton's lens formula Newton's metal Newton's Method Newton's Rings Newton's second law Newton's square-root method Newton's theory of lift Newton's theory of light Newton's third law Newton, Alfred Newton, Gilbert Stuart Newton, Huey P Newton, Isaac Newton, John Newton, Sir Isaac Newton-Cotes formulas newton-meter of energy newton-meter of torque Newton-Raphson formula Newton-Raphson iteration Newtonian attraction Newtonian flow Newtonian Fluid Newtonian focus Newtonian friction law Newtonian mechanics Newtonian potential Newtonian reference frame Newtonian Reflector Newtonian speed of sound Newtonian telescope Newtonian velocity Newtonian viscosity Newtonian-Cassegrain telescope Newtontoppen Newtown Newtown Battlefield State Park Newtown Saint Boswells Newtown St Boswells Newtownabbey Newtownards NewWave NewYacc Nexø, Martin Andersen NEXOR			Newton's third law of motion Newton's third law of motion Newton's three laws of motion Newton's three laws of motion Newton, Alfred Newton, Gilbert Stuart Newton, Huey P Newton, Huey Percy Newton, Isaac Newton, Isaac Newton, John Newton, Kansas Newton, Sir Isaac Newton, Sir Isaac Newton, Sir Isaac Newton-Conover High School Newton-Cotes formula Newton-Cotes formulas Newton-Cotes quadrature Newton-Kantorovich Method Newton-Kantorovitch Algorithm Newton-le-Willows Newton-le-Willows Community High School newton-meter newton-meter of energy newton-meter of torque Newton-Needham Chamber of Commerce Newton-Raphson Algorithm Newton-Raphson formula Newton-Raphson iteration Newton-Raphson method Newton-Raphson method Newton-Rapson algorithm Newton-Rapson Method Newton-Rhapson algorithm Newton-Rhapson method Newton-Wellesley Hospital Newtonia Battlefields Protection Association Newtonian Newtonian Newtonian Newtonian attraction Newtonian constant Newtonian constant Newtonian constant newtonian constant of gravitation Newtonian dynamics Newtonian dynamics Newtonian flow Newtonian fluid Newtonian fluids Newtonian focus Newtonian focus Newtonian focus Newtonian focus Newtonian friction law Newtonian iteration Newtonian laws of motion Newtonian laws of motion Newtonian liquid

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