Newton’s Method: Square Systems( )0fxNewton’s Algorithm Select an initial vector xD Whil(i ttiditihtd)DoWhile (some appropriate stopping condition has not occurred)Compute the Jacobian, ()fJxLet ysolve the system of linear equations ()()fJx yfx (assuming ()fJxis nonsingular) xxyEnd DoWhile variable ,'( )0function of onefxFact:Assume kxx, and ()fJxis nonsingular(the n-dimensional analog of'()0fx). Then the rate of convergence is quadratic. EE 103 Slides 7B2 (SEJ)1
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