From Proportional Rectangles to Sampled Analog Root Computation

We study a modern proportional-rectangle construction for positive integer-degree roots andits translation into a sampled analog computing architecture. A fixed support realizes reciprocal Newtoniteration. Replacing it by a moving line through a constructible anchor gives.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-17
DOI
https://doi.org/10.5281/zenodo.22810967
Primary Topic
Polynomial and algebraic computation
Type
preprint
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preprint

From Proportional Rectangles to Sampled Analog Root Computation

Ivan Beševic
Zenodo (CERN European Organization for Nuclear Research)
Polynomial and algebraic computation
preprint

From Proportional Rectangles to Sampled Analog Root Computation

Ivan Beševic
preprint en

Abstract

We study a modern proportional-rectangle construction for positive integer-degree roots andits translation into a sampled analog computing architecture. A fixed support realizes reciprocal Newtoniteration. Replacing it by a moving line through a constructible anchor gives.

Zenodo (CERN European Organization for Nuclear Research)
Sustainable cities and communities
Polynomial and algebraic computation
DOIOpen Access PDFOpenAlex
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From Proportional Rectangles to Sampled Analog Root Computation — Ivan Beševic · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS