Bounds On Positive Polynomial Roots
There also exist bounds on just the positive roots of polynomials; these bounds are of extreme importance and have been developed by Akritas, StrzeboĊski and Vigklas based on previous work by Doru Stefanescu. They are used in the computer algebra systems Mathematica, Sage, SymPy, Xcas etc. and are described in P. S. Vigklas' Ph.D. Thesis and in.
Read more about this topic: Properties Of Polynomial Roots
Famous quotes containing the words bounds, positive and/or roots:
“Great Wits are sure to Madness near alli’d
And thin Partitions do their Bounds divide;
Else, why should he, with Wealth and Honour blest,
Refuse his Age the needful hours of Rest?”
—John Dryden (1631–1700)
“Regna regnis lupi, The State is a wolf unto the State. It is not a pessimistic lamentation like the old homo homini lupus [Man is a wolf to Man], but a positive creed and political ideal.”
—Johan Huizinga (1872–1945)
“There is nothing but is related to us, nothing that does not interest us,—kingdom, college, tree, horse, or iron show,—the roots of all things are in man.”
—Ralph Waldo Emerson (1803–1882)