Creating an equation library (Updated 03-FEB-2017)
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01-19-2015, 01:21 AM
(This post was last modified: 01-19-2015 01:22 AM by Han.)
Post: #32
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RE: Creating an equation library (updated)
(01-18-2015 08:07 PM)compsystems Wrote: To create this eq library, is required a function that solves nonsquare systems (more unknowns than equations) to be devised an algorithm that recursively solving I think I saw one HPCalc The plan is to use Newton's method (which is iterative). Each set of equations is transformed into functions \(\vec{F} = \langle f_1, f_2, \dotsm, f_m \rangle^T \). Applying Newton's method to solve \( \vec{F}(\vec{x}) = 0 \) would require the Jacobian. Snorre posted an example in this thread. In order to solve for \( \vec{x} \), we use SVD. This will take care of all cases, but one would have to properly interpret the solutions. SOLVESYS uses a similar scheme, but does not seem to use SVD or even LSQ for overdetermined systems. Graph 3D | QPI | SolveSys |
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