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Newton-Ellipsoid Method and its Polynomiography∗

by Bahman Kalantari, Eric Lee
"... We introduce a new iterative root-finding method for complex polynomials, dubbed Newton-Ellipsoid method. It is inspired by the Ellipsoid method, a classical method in optimization, and a property of Newton’s Method derived in [7], according to which at each complex number a half-space can be found ..."
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containing a root. Newton-Ellipsoid method combines this property, bounds on zeros, together with the plane-cutting properties of the Ellipsoid Method. We present computational results for several examples, as well as corresponding polynomiography. Polynomiography refers to algorithmic visualization of root

Proceedings of ISAMA 2010 Ninth Interdisciplinary Conference of the International Society of the Arts, Mathematics, and Architecture

by Javier Barrallo, Dietmar Guderian, John Sullivan, Jose Martinez-aroza, Juan Antonio, Reza Sarhangi, Steve Luecking, Ergun Akleman, Vinod Srinivasan, Alfred Peris , 2010
"... It is a pleasure to return to my hometown Chicago, where Steve Luecking previously hosted a ..."
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It is a pleasure to return to my hometown Chicago, where Steve Luecking previously hosted a

A Bibliography of Publications in Computers and Graphics

by Nelson H. F. Beebe, Yf]. [oik, Dest Dms Dg Dsr , 2013
"... Version 1.33 Title word cross-reference (n + 1) [SA87]. + [JHPhR11]. 1 [RPM97]. 2 [AA07, BDRV01, BPKG07, BD97, Dur89, ..."
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Version 1.33 Title word cross-reference (n + 1) [SA87]. + [JHPhR11]. 1 [RPM97]. 2 [AA07, BDRV01, BPKG07, BD97, Dur89,
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