I would like to draw some quivers in a mathematical paper. What softwares are convenient to draw a quiver? Thank you very much.
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Some prefer tikz or tikz-cd over xypic since it provides a bit more flexibility. A documentation of tikz-cd can e.g. be found here.
Depends on how you define convenient.
Matlab has a command called quiver which is pretty good to plot vector fields/quiver.
If you need freeware, Octave has a quiver command as well.
I have not used it on Mathematica but it has many vectorplot functions. You might want to check documentation. If you do not have access to liscence, free version is available.
For graphs and digraphs I use xypic in $\LaTeX$; it can do quivers too. Very intuitive to use, just put the vertices in a coordinate axes and specify (directed) edges.