Timeline for Trouble with Newton-Raphson Method in Bessel zeros
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Aug 20, 2018 at 19:41 | comment | added | shatman | thanks Bob, Now I understand it all | |
| Aug 20, 2018 at 14:35 | comment | added | Bob Hanlon |
You gave Newton-Raphson formula, i.e., x[i+1] == x[i] - f[x[i]]/f'[x[i]]. When written as a pure function the RHS is # - f[#]/f'[#] &. FixedPointList and FixedPoint iterate this pure function until the results converge and stops automatically. NestList and Nest iterates the pure function a specified number of times. For a sufficiently large number of specified iterations the result will converge to the fixed point. In all of these cases a starting value (x[0]) must be specified that is in the region of the desired root.
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| Aug 20, 2018 at 13:13 | vote | accept | shatman | ||
| Aug 20, 2018 at 13:10 | comment | added | shatman | thanks for the answer, but I do not have a formula, that's what I do not understand, how do I apply it? | |
| Aug 20, 2018 at 0:59 | history | answered | Bob Hanlon | CC BY-SA 4.0 |