Newton method Options  Email this topic  Watch this topic  Print this topic » Normal Threaded

Previous Topic Next Topic

OchkovVF		#1 Posted : 08 April 2023 22:07:23(UTC)
Rank: Advanced Member Groups: Registered, Advanced Member Joined: 06/04/2023(UTC) Posts: 348 Was thanked: 28 time(s) in 27 post(s)		I cannot use the roots function and must use one old good simple method by Newton. What can you say about it? Newton-Eng.docx (1,106kb) downloaded 29 time(s). Edited by user 08 April 2023 22:12:41(UTC)  | Reason: Not specified
		WWW
1 user thanked OchkovVF for this useful post.		on 09/04/2023(UTC)
User Profile View All Posts by User View Thanks

	Wanna join the discussion?! Login to your SMath Studio Forum forum account. New Registrations are disabled.

mkraska		#2 Posted : 09 April 2023 14:56:19(UTC)
Rank: Advanced Member Groups: Registered Joined: 15/04/2012(UTC) Posts: 1,990 Was thanked: 1128 time(s) in 724 post(s)		Very nice. I had problems when reproducing your 2D version. Depending on initial guess I got errors "requested matrix element does not exist". The situation seemed to improve a little by pre-allocating the vectors X and Y yet it didn't become really robust. So instead of assigning to j+1 elements I used augment() to add new points to the iteration history. This is the original version: Newton2D.sm (22kb) downloaded 10 time(s). And this is the modified version. Newton2Da.sm (20kb) downloaded 14 time(s).
		Martin Kraska Pre-configured portable distribution of SMath Studio: https://smath.com/wiki/SMath_with_Plugins.ashx
User Profile View All Posts by User View Thanks

Jean Giraud		#3 Posted : 09 April 2023 20:27:18(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		Originally Posted by: Jean Giraud ... can't find 2nd root 2nd root confirmed exact. Solve(f,q,x0,x1,TOL) Copy.sm (163kb) downloaded 7 time(s).
User Profile View All Posts by User View Thanks

overlord		#4 Posted : 09 April 2023 20:33:35(UTC)
Rank: Advanced Member Groups: Registered Joined: 23/07/2013(UTC) Posts: 1,129 Was thanked: 510 time(s) in 340 post(s)		Tried to solve your functions with al_nleqsolve(). Regards Newton.sm (14kb) downloaded 12 time(s).
User Profile View All Posts by User View Thanks

Razonar		#5 Posted : 10 April 2023 00:19:38(UTC)
Rank: Advanced Member Groups: Registered Joined: 28/08/2014(UTC) Posts: 1,368 Was thanked: 829 time(s) in 525 post(s)		Another way, keeping the mathematical formulation and the iteration algorithm separate. As here. Newton2Da.sm (14kb) downloaded 11 time(s). Best regards. Alvaro. Edited by user 10 April 2023 00:27:45(UTC)  | Reason: Not specified
User Profile View All Posts by User View Thanks

Jean Giraud		#6 Posted : 10 April 2023 18:25:58(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		Thanks Alvaro, added to my next Samples visit. Take care ... Jean
User Profile View All Posts by User View Thanks

overlord		#7 Posted : 10 April 2023 22:21:38(UTC)
Rank: Advanced Member Groups: Registered Joined: 23/07/2013(UTC) Posts: 1,129 Was thanked: 510 time(s) in 340 post(s)		Originally Posted by: OchkovVF I cannot use the roots function Actually, you can. Regards
User Profile View All Posts by User View Thanks

Jean Giraud		#8 Posted : 11 April 2023 02:29:31(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		Originally Posted by: OchkovVF I cannot use the roots function and must use one old good simple method by Newton. What can you say about it? An old vintage in Smath ... two examples. Take care Valery ... Jean. Solve_roost f1(x,y). f2(x,y).sm (28kb) downloaded 10 time(s).
User Profile View All Posts by User View Thanks

Razonar		#9 Posted : 11 April 2023 20:21:16(UTC)
Rank: Advanced Member Groups: Registered Joined: 28/08/2014(UTC) Posts: 1,368 Was thanked: 829 time(s) in 525 post(s)		Two variations added. Newton2Da. v2.sm (39kb) downloaded 36 time(s). Newton2Da. v2.pdf (153kb) downloaded 24 time(s). Best regards. Alvaro.
1 user thanked Razonar for this useful post.		on 03/05/2023(UTC)
User Profile View All Posts by User View Thanks

OchkovVF		#10 Posted : 03 May 2023 06:37:31(UTC)
Rank: Advanced Member Groups: Registered, Advanced Member Joined: 06/04/2023(UTC) Posts: 348 Was thanked: 28 time(s) in 27 post(s)		Originally Posted by: Razonar Two variations added. Newton2Da. v2.sm (39kb) downloaded 36 time(s). Newton2Da. v2.pdf (153kb) downloaded 24 time(s). Best regards. Alvaro. From my future article Если уравнений не два, а три, то матрица Якоби будет состоять из трёх строк и трёх столбцов. При этом графически отображать решение придётся не двумя кривыми, а тремя поверхностями на 3D-графике, причём их взаимное пересечение и будет отмечать решение (задание читателю). Слабо!
		WWW
1 user thanked OchkovVF for this useful post.		on 03/05/2023(UTC)
User Profile View All Posts by User View Thanks

Jean Giraud		#11 Posted : 03 May 2023 18:02:25(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		You may find this Treasury useful/productive. Solve(f,q,x0,x1,TOL) Copy.sm (301kb) downloaded 14 time(s).
User Profile View All Posts by User View Thanks

Users browsing this topic

Guest

Similar Topics

Newton method for nonlinear equation system (Questions) by romanoffff 23/03/2019 23:44:12(UTC)