Turn on suggestions

Auto-suggest helps you quickly narrow down your search results by suggesting possible matches as you type.

Showing results for

Auto-suggest helps you quickly narrow down your search results by suggesting possible matches as you type.

Showing results for

** Community Tip** - Did you get called away in the middle of writing a post? Don't worry you can find your unfinished post later in the Drafts section of your profile page.
X

- Subscribe to RSS Feed
- Mark Topic as New
- Mark Topic as Read
- Float this Topic for Current User
- Bookmark
- Subscribe
- Mute
- Printer Friendly Page

Feb 14, 2019
05:19 PM

- Mark as New
- Bookmark
- Subscribe
- Mute
- Subscribe to RSS Feed
- Permalink
- Notify Moderator

Feb 14, 2019
05:19 PM

Mathcad fails to solve symbolic system of equations and put it in a function!

Hello.

Before anything, I got to say that I searched the whole forum for similar questions (which existed), and tried to apply them to my case, but none worked!

I attached files (one is Mathcad15 and the other is Prime 5 file format) with system of equations that I need to solve symbolically, and then attribute this solution to a function.

The system of equations has x's, a's, z's and a y variable. The goal is to define y as a function of x's and a's, but no z's.

I failed to do it multiple times: sometimes Mathcad just crashs, other times it just says some variables are not defined...

Could someone please help me? This is the first thing I'm ever trying to do using Mathcad!

Thank you very much!

Solved! Go to Solution.

1 ACCEPTED SOLUTION

Accepted Solutions

Mar 14, 2019
02:43 AM

- Mark as New
- Bookmark
- Subscribe
- Mute
- Subscribe to RSS Feed
- Permalink
- Notify Moderator

Mar 14, 2019
02:43 AM

So I tried to solve a 20x20 similar linear system in both Mathcad and Matlab.

Matlab was able to solve it under 5 minutes. I let Mathcad running for 8 hours and nothing...

8 REPLIES 8

Feb 14, 2019
05:58 PM

- Mark as New
- Bookmark
- Subscribe
- Mute
- Subscribe to RSS Feed
- Permalink
- Notify Moderator

Feb 14, 2019
05:58 PM

I may have made a mistake in retyping, otherwise your system is not complete. You need to solve for z1 through z8 AND y, you only have 8 equations. You need one more to solve the 9 unknowns:

(Note that the picture is chopped off at the right side. It's very very wide....)

Success!

Luc

Feb 15, 2019
01:55 AM

- Mark as New
- Bookmark
- Subscribe
- Mute
- Subscribe to RSS Feed
- Permalink
- Notify Moderator

Feb 15, 2019
01:55 AM

The strange thing is that this is a model for a real world system. I cannot find any other equation/relationship as to maintain the system's fidelity.

I could find a solution, but it was doing:

z1 = y/2

z2 = -y/2

But i really don't know the value of z1 and z2, I only know that their difference (z1-z2) is equal y.

Feb 14, 2019
05:59 PM

- Mark as New
- Bookmark
- Subscribe
- Mute
- Subscribe to RSS Feed
- Permalink
- Notify Moderator

Feb 14, 2019
05:59 PM

> The system of equations has x's, a's, z's and a y variable. The goal is to define y as a function of x's and a's, but no z's.

This would mean that you want to solve your system for the eight z's and for y.

That makes nine variables to solve for but only eight equations!

This means that you have one degree of freedom. In other words - the solution(s) probably aren't unique!

To define the Function Y you are looking for, you don't need a symbolic solution of your system. If you are just looking for one of the multiple solutions you may use a parametrized numeric solve block - you'll have to provide suitable guess values if you do so.

Feb 14, 2019
06:25 PM

- Mark as New
- Bookmark
- Subscribe
- Mute
- Subscribe to RSS Feed
- Permalink
- Notify Moderator

Feb 14, 2019
06:25 PM

Here is what i was talking about:

Mathcad 15 file attached

Feb 15, 2019
01:51 AM

- Mark as New
- Bookmark
- Subscribe
- Mute
- Subscribe to RSS Feed
- Permalink
- Notify Moderator

Feb 15, 2019
01:51 AM

Hi Werner.

Actually, I will perform some manipulation on the symbolic results before evaluating its numerical value.

Feb 15, 2019
04:44 AM

- Mark as New
- Bookmark
- Subscribe
- Mute
- Subscribe to RSS Feed
- Permalink
- Notify Moderator

Feb 15, 2019
04:44 AM

I have considered y a known term. then I continued the calculation like this:

You can do the calculation (here I've considered y as unknown) even so:

Mar 14, 2019
02:43 AM

- Mark as New
- Bookmark
- Subscribe
- Mute
- Subscribe to RSS Feed
- Permalink
- Notify Moderator

Mar 14, 2019
02:43 AM

So I tried to solve a 20x20 similar linear system in both Mathcad and Matlab.

Matlab was able to solve it under 5 minutes. I let Mathcad running for 8 hours and nothing...

Mar 14, 2019
07:19 AM

- Mark as New
- Bookmark
- Subscribe
- Mute
- Subscribe to RSS Feed
- Permalink
- Notify Moderator

Mar 14, 2019
07:19 AM

Can you share the 20x20 system (Mathcad file)?

Luc

Luc