New Optimization Algorithms to Calculate Roots of Polynomials
08-09-2018, 11:30 AM
Post: #11
 Thomas Klemm Senior Member Posts: 1,621 Joined: Dec 2013
RE: New Optimization Algorithms to Calculate Roots of Polynomials
From the linked slides "Condition Numbers of Numeric and Algebraic Problems":

Quote:Condition number of a root of a univariate polynomial
(…)
Toh and Trefethen (Gautschi): condition number of
root x (relative perturbation to p, absolute
perturbation to x) is . . . Exercise: FIGURE IT
OUT!

That's the spirit we like.
No worries. It's revealed on the next slide.

Cheers
Thomas
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 Messages In This Thread New Optimization Algorithms to Calculate Roots of Polynomials - Namir - 08-06-2018, 01:35 PM RE: New Optimization Algorithms to Calculate Roots of Polynomials - Luigi Vampa - 08-07-2018, 08:53 AM RE: New Optimization Algorithms to Calculate Roots of Polynomials - Namir - 08-07-2018, 09:56 PM RE: New Optimization Algorithms to Calculate Roots of Polynomials - Claudio L. - 08-08-2018, 02:26 AM RE: New Optimization Algorithms to Calculate Roots of Polynomials - Namir - 08-08-2018, 03:30 AM RE: New Optimization Algorithms to Calculate Roots of Polynomials - Albert Chan - 08-08-2018, 12:06 PM RE: New Optimization Algorithms to Calculate Roots of Polynomials - Namir - 08-08-2018, 03:34 PM RE: New Optimization Algorithms to Calculate Roots of Polynomials - Claudio L. - 08-09-2018, 01:37 AM RE: New Optimization Algorithms to Calculate Roots of Polynomials - Namir - 08-09-2018, 03:05 AM RE: New Optimization Algorithms to Calculate Roots of Polynomials - ttw - 08-09-2018, 03:57 AM RE: New Optimization Algorithms to Calculate Roots of Polynomials - Thomas Klemm - 08-09-2018 11:30 AM RE: New Optimization Algorithms to Calculate Roots of Polynomials - Namir - 08-09-2018, 11:51 AM RE: New Optimization Algorithms to Calculate Roots of Polynomials - Namir - 08-10-2018, 02:38 AM

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