New Root-Seeking Algorithms

[pier4r]

(04-04-2017 09:22 AM)ttw Wrote:  I've been playing with root finding methods for about 50 years or so, so I thought I'd post some links to newer papers on the subject.

https://arxiv.org/pdf/1702.03174.pdf (Using multistep integrators to find roots)

https://arxiv.org/pdf/1505.05573.pdf (Newton's method in function spaces)

https://arxiv.org/pdf/1501.05033.pdf (All roots of polynomials)

https://arxiv.org/pdf/1410.2202.pdf (Newton Ellipsiod method)

https://arxiv.org/pdf/1309.4734.pdf (Inexact Newton's method)

https://arxiv.org/pdf/1112.6263.pdf (Root finding in Boolean Algebra)

https://arxiv.org/pdf/1110.3430.pdf (Errors in the inexact Newton method)

https://arxiv.org/pdf/1109.2503.pdf (Quaternion equations)

https://arxiv.org/pdf/1004.3412.pdf (Brent's method)
https://arxiv.org/pdf/1308.4217.pdf (Another all roots method)

Thanks for sharing!