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:
“How far men go for the material of their houses! The inhabitants of the most civilized cities, in all ages, send into far, primitive forests, beyond the bounds of their civilization, where the moose and bear and savage dwell, for their pine boards for ordinary use. And, on the other hand, the savage soon receives from cities iron arrow-points, hatchets, and guns, to point his savageness with.”
—Henry David Thoreau (1817–1862)
“The most positive men are the most credulous.”
—Jonathan Swift (1667–1745)
“Sprung from the West,
He drank the valorous youth of a new world.
The strength of virgin forests braced his mind,
The hush of spacious prairies stilled his soul.
His words were oaks in acorns; and his thoughts
Were roots that firmly gript the granite truth.”
—Edwin Markham (1852–1940)