MATH 317 Lecture Notes - Lecture 21: Soyou, Texas State Highway Loop 1, Rate Of Convergence
28 Nov 2018
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11 to solve atee eg. ha pnptlk. tln x 5 p 1 nx lit f15 . Fl eb i i 13 a 5. You can take a i 5 and precondition. Fiat p 15 it by writing left precondition called a. Thismay be better behaved than 5 see theexample with 659. Theratio many lay 1 min can also have a g p centered precondition right precondition ap 5 5 why. 0 f xg f xg local linearisationvdidnearx. This gives fixed points for variables 2 y and z. 5 it linear system toget si and then set. I 8 has to have continuousderivatives eco has to be sufficiently close to i and the jacobian matrix must be non singular. Also sincecalculation of may beexpensive you an approximate it ug fjlzithi hin en is the unit vectordong xi only approximate a doesnt get quadratic convergence. Algorithm to solve f 0 f is a non linear vectorvaluedfunction with n components.
