Solve example on various calculators

12102023, 09:27 AM
(This post was last modified: 12102023 09:42 AM by carey.)
Post: #9




RE: Solve example on various calculators
(12102023 04:32 AM)lrdheat Wrote: The CASIO 9750giii has the same problem in the equation app, but finds the 1 and ~.41 roots in calculate mode using SolveN and the Solve for a range of 2 to 3 finds the ~2.41 root ( a range encompassing the full range of roots only finds the ~2.41 root). Just speculating, but two possibilities come to mind: 1) The range cited (2 to 3) does not encompass the full range of roots  only the 2.41 root. The range 2 to 3 would encompass the full range of roots. 2) Since Newton's Method can fail (either slow convergence or not at all) if the initial guess or an iterate is near f'(x) = 0 (because the line never intersects the xaxis), the 2.41 root is found using Solve as it is well away from f'(x) = 0, but the other two roots are near the local maximum where f'(x) = 0, so it becomes possible that an iterate occurs near f'(x)=0. Thank you for this interesting thread! 

« Next Oldest  Next Newest »

Messages In This Thread 
Solve example on various calculators  lrdheat  12092023, 02:38 AM
RE: Solve example on various calculators  Albert Chan  12092023, 01:19 PM
RE: Solve example on various calculators  lrdheat  12092023, 03:04 PM
RE: Solve example on various calculators  C.Ret  12092023, 06:19 PM
RE: Solve example on various calculators  lrdheat  12092023, 07:24 PM
RE: Solve example on various calculators  Marco Polo  12092023, 10:08 PM
RE: Solve example on various calculators  C.Ret  12102023, 03:19 AM
RE: Solve example on various calculators  Gene222  12122023, 04:21 PM
RE: Solve example on various calculators  lrdheat  12102023, 04:32 AM
RE: Solve example on various calculators  carey  12102023 09:27 AM
RE: Solve example on various calculators  Albert Chan  12102023, 04:05 PM
RE: Solve example on various calculators  lrdheat  12102023, 02:28 PM

User(s) browsing this thread: 1 Guest(s)