# RegionPlot outputs SystemReduceDump

Posted 1 year ago
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 I'm using Solve[] to find the solutions to a system of equations, then checking their stability in a Hessian using PositiveDefiniteMatrixQ[] to see how many of these solutions are stable. RegionPlot[] comes in handy to plot the number of stable solutions in terms of the parameters.An example of the type of plot I want that has worked worked perfectly for another set of equations.Error Output {{7 SystemReduceDumpSolveParam[Subscript[\[Kappa], xy0]] + 7 SystemReduceDumpSolveParam[Subscript[\[Kappa], xyF]] + (-7 + 100 SystemReduceDumpSolveParam[Subscript[\[Kappa], xy0]]^2) SystemReduceDumpX$27813[1] - 100 SystemReduceDumpX$27813[1]^3, SystemReduceDumpX$27813[3], SystemReduceDumpX$27813[ 2]}, {{7 SystemReduceDumpSolveParam[Subscript[\[Kappa], xy0]] + 7 SystemReduceDumpSolveParam[Subscript[\[Kappa], xyF]] - 7 SystemReduceDumpX$27813[1] + 100 SystemReduceDumpSolveParam[Subscript[\[Kappa], xy0]]^2 SystemReduceDumpX$27813[1] - 100 SystemReduceDumpX$27813[1]^3, 1, SystemReduceDumpX$27813[1]}, {SystemReduceDumpX$27813[3], 1, SystemReduceDumpX$27813[3]}, {SystemReduceDumpX$27813[2], 1, SystemReduceDumpX$27813[2]}}, {}} It seems to suggest this is an error in the evaluation but I've used ContourPlot[] as alternative to plotting and the output was fine. So I'm unsure whether the Solve[] and PositiveDefiniteMatrixQ[] parts are where the issue is arising - just very messy in comparison to the previous plot which is why I want to try RegionPlot[]. I've also tried setting attributes like MaxRecursion -> 0, PlotPoints and the range of the parameters to small values to limit computational cost but this doesn't change the output. Anyone come across this before?
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Posted 1 year ago
 Crossposted here.