Re: How would you solve a user-inputted simple one-variable Linear Equation

I think the traditional approach of implementing/solving linear equations is to convert them into matrix form and then repeatedly applying Gaussian Elimination until you solve the system or determine that it has no solution.

The easiest way of doing so is to either link to a solver library (maybe PDL has an equation system solver).

Comment on Re: How would you solve a user-inputted simple one-variable Linear Equation

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Re^2: How would you solve a user-inputted simple one-variable Linear Equation by etj (Priest) on May 20, 2022 at 14:37 UTC
PDL does have a binding to "the" solver library, LAPACK (linear algebra package): PDL::LinearAlgebra. The `msolve` function is almost certainly what you want. See the doc for PDL::MatrixOps/`lu_backsub` for a quick comparison of other linear algebra libraries in the PDLverse.	[reply] [d/l] [select]
Re^2: How would you solve a user-inputted simple one-variable Linear Equation by nat47 (Sexton) on Apr 25, 2015 at 16:52 UTC
Gaussian Elimination on a single variable? Okay... I don't want to use a pre-made library, I would like to do this all with my 'own' code, so to speak. You used the word "either" in your last sentence, but only gave one thing? Thanks for the response!	[reply]
Re^3: How would you solve a user-inputted simple one-variable Linear Equation by Corion (Patriarch) on Apr 25, 2015 at 16:56 UTC
Sorry, the other part of the "either" would be to call any linear solver program yourself. If you only have one linear equation, the solution is to simply restate the formula in the form `a*x +b = 0` [download] From that, the solution is immediately clear.	[reply] [d/l]