AlgLib 3.1x - AlgLib Plugin (based on ALGLIB 3.1x) - Сообщения
#21 Опубликовано: 17.07.2018 19:49:21
Updated. al_nleqsolve() refactored. Try now.
You can also specify only names of the systems (f and j).
You can also specify only names of the systems (f and j).
Russia ☭ forever, Viacheslav N. Mezentsev
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frapuano 18.07.2018 10:53:00, Fridel Selitsky 18.07.2018 02:35:00, Radovan Omorjan 18.07.2018 05:41:00, Igor Skarine 18.07.2018 10:17:00
#22 Опубликовано: 18.07.2018 02:35:44
One example of V. Mezentsev (Uni)
Primer Uni.sm
Primer Uni.sm
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#23 Опубликовано: 18.07.2018 05:40:48
325 сообщений из 2 052 понравились и 1 не понравились пользователям.
Группа: Moderator
One example of V. Mezentsev (Uni)
Primer Uni.sm
Fortunately, I was wrong. We could use it with different number of equations and unknowns.
I just use the Ber7 example and change it with n as a global variable. No need for zeros as non-existing functions.
Primer%20Uni-mod.sm
When Sisyphus climbed to the top of a hill, they said: "Wrong boulder!"
#24 Опубликовано: 18.07.2018 10:15:46
Thanks a lot uni!
The issue listed in my post #18 has been resolved.
But for some reason simple Newton-Raphson with variable step usually
works better than al_nleqsolve.
The issue listed in my post #18 has been resolved.
But for some reason simple Newton-Raphson with variable step usually
works better than al_nleqsolve.
#25 Опубликовано: 18.07.2018 15:19:47
But for some reason simple Newton-Raphson with variable step usually
works better than al_nleqsolve.
Can you demonstrate for this application ?
Solve al_nleqsolve-Electron.sm
#26 Опубликовано: 21.07.2018 12:45:03
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frapuano 21.07.2018 13:44:00
#28 Опубликовано: 22.07.2018 23:29:32
Thanks Ber7 for the 3D, nice.
Jean
Jean
#29 Опубликовано: 24.07.2018 13:03:26
Solution of an overdetermined system of equations. The problem is taken from here
https://en.smath.info/forum/yaf_postst12745_How-to-solve-it.aspx
Overdetermined.sm
https://en.smath.info/forum/yaf_postst12745_How-to-solve-it.aspx
Overdetermined.sm
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Andrey Ivashov 26.07.2018 18:06:00
#30 Опубликовано: 30.07.2018 13:09:38
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frapuano 30.07.2018 14:08:00
#31 Опубликовано: 22.08.2018 04:32:16
#33 Опубликовано: 23.08.2018 05:11:57
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frapuano 23.08.2018 09:07:00
#34 Опубликовано: 23.08.2018 10:57:07
#35 Опубликовано: 25.08.2018 06:22:47
#36 Опубликовано: 06.10.2018 14:56:58
Simple solutions to two problems
1.The construction of a sphere with respect to four given points
2.The construction of a circle with respect to three given points
To calculate the coordinates of the center and radius using the solver AlgLib
In the first problem, a system of four sphere equations for four given points is solved.
In the second - a system of three equations of a circle and the equation of a plane for three given points.
SphereAlglib.sm
1.The construction of a sphere with respect to four given points
2.The construction of a circle with respect to three given points
To calculate the coordinates of the center and radius using the solver AlgLib
In the first problem, a system of four sphere equations for four given points is solved.
In the second - a system of three equations of a circle and the equation of a plane for three given points.
SphereAlglib.sm
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NDTM Amarasekera 06.10.2018 22:52:00
#37 Опубликовано: 08.10.2018 03:23:09
Hi. The same, but without plugins.
SphereSMath.sm
Best regards.
Alvaro.
PD: Do you know the angles for your rotation matrix gamma? I get this, but can't put the matrix elements in the correct order nor sign:
Actually, as I know, the minus in the last atan is a mistake, but at least give the same absolute values.
SphereSMath.sm
Best regards.
Alvaro.
PD: Do you know the angles for your rotation matrix gamma? I get this, but can't put the matrix elements in the correct order nor sign:
Actually, as I know, the minus in the last atan is a mistake, but at least give the same absolute values.
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#38 Опубликовано: 09.10.2018 11:42:42
Hi. The same, but without plugins.
PD: Do you know the angles for your rotation matrix gamma? I get this, but can't put the matrix elements in the correct order nor sign:
Actually, as I know, the minus in the last atan is a mistake, but at least give the same absolute values.
Hi, Alvaro.
Unfortunately, I have never done reverse transformations (gamma-omega).
Your error may be caused by the use of the left coordinate system in Smath- graphs.
I selected the angles for the axial matrices empirically in order to get a good perspective ,using the gamma matrix.perspective.
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Alvaro Diaz Falconi 09.10.2018 21:14:00
#39 Опубликовано: 10.10.2018 00:40:38
Unfortunately, I have never done reverse transformations (gamma-omega).
Mathcad solves the Euler angles from a given γ [gamma matrix].
Smath does not immediately, it complains: Try to use a more specific algorithm.
There are 24 [4!] possible ways to define a 3D system [Mathematica].
The most common is Euler though Mathcad Mathcad ≠ Mathematica.
For common use to define some pleasant views, especially in Smath:
1. Euler [ 3 trig angles]
2. Parametric [X,Y,Z,t] very easy to manage.
3. Quaternion only two coefficients that Quaternion solves for the 3D γ matrix
Rotate Horn.sm
Solve Euler Fails.sm
Rotate Breather [Euler].sm
Rotate_0 Euler, xyz(t), Quaternion.sm
#40 Опубликовано: 12.12.2018 12:57:19
Updated.
Changes for al_rkckadapt():
- zero point issue fixed;
- added support for the simple D(t,x) definition.
Changes for al_rkckadapt():
- zero point issue fixed;
- added support for the simple D(t,x) definition.
Russia ☭ forever, Viacheslav N. Mezentsev
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