A few questions about solve and exact polynomial roots
Subject: A few questions about solve and exact polynomial roots
From: Mike Valenzuela
Date: Mon, 2 Dec 2013 13:24:50 -0700
Hello all,
I was messing around with some eigenvectors and values from a simple system
and came across the *casus irreduciblis* problem: sometimes complex
radicals are needed to express real solutions. However, I've been trying to
reduce the solution to real non-algebraic solutions.
(specified here)
http://en.wikipedia.org/wiki/Casus_irreducibilis#Non-algebraic_solution_in_terms_of_real_quantities
(and here)
http://en.wikipedia.org/wiki/Cubic_function#Trigonometric_.28and_hyperbolic.29_method
Anyways, I am wondering if maxima natively supports
(1) Returning non-algebraic solutions from its solving system, especially
if they are simplier.
(2) Some combination of trig simplification rules to recover the simple
form given in the above link.
I suppose users could manually use the above identities when applicable,
but they would have to be aware of it.