ugly Plot Eigenvalues ?

*To*: mathgroup at smc.vnet.net*Subject*: [mg39670] ugly Plot Eigenvalues ?*From*: Pavel Pokorny <Pavel.Pokorny at vscht.cz>*Date*: Fri, 28 Feb 2003 04:46:07 -0500 (EST)*Organization*: Czech Technical University*Sender*: owner-wri-mathgroup at wolfram.com

Dear Mathematica friends, How can I plot Re Eigenvalues as a function of a parameter without unwanted ugly connections between branches? In the example (computed by Mathematica 4.2 for HP-UX PA-RISC) m1={{8., 8, 7}, {0, 5, 5}, {8, 0, 0}} m2={{6., 0, 6}, {10, 8, 3}, {5, 8, 6}} Plot[Evaluate[Re[Eigenvalues[m1+w*m2]]], {w,-3,3}]; for w approximately -0.4 there is an unwanted vertical bar. This is related to "ordering" of solutions to equation. Is there a simple nice solution for this and related examples? (taking exact numbers in the example above avoids the unwanted connection, but this is not a good solution for a general machine precission problem) -- Pavel Pokorny Math Dept, Prague Institute of Chemical Technology http://staffold.vscht.cz/mat/Pavel.Pokorny