Assertion: root | /r/HasProperty | real
Facets:
Source sentences:
text: Roots may be real or complex.
text: These 3 roots may be all real, or a mix of real and complex roots.
text: However, it may be difficult to decide whether a root with a small imaginary part is real or not.
text: However, because of the numerical instability of polynomials (see Wilkinson's polynomial), they may need arbitrary-precision arithmetic for deciding which roots are real.
text: With these improvements they reach a computational complexity that is similar to that of the best algorithms for computing all the roots (even when all roots are real).