Can someone help with Polynomial matrix equations?

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Ulrich Mutze

Hi,

for just the system you wrote down read about quadratic forms and quadrics. For more general equations read about Gröbner bases. The most convenient way for guys who are getting old (you) or already got old (me) is to play arround with Mathematica, guided for instance by the tutorial 'Complex Polynomial Systems' and enjoy the progress that happed since our time at university.

Lars Abrahamsson

Thanks a lot! I recognize the terms you mention above!

Ke Zhang

You may refer to Prof. V. Simoncini's personal webpage for her survey on matrix eqs. http://www.dm.unibo.it/~simoncin/list.html