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A new proof of the fundamental theorem of algebra

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Pivoting and Extension

Part of the book series: Mathematical Programming Studies ((MATHPROGRAMM,volume 1))

Abstract

A constructive proof of the Fundamental Theorem of Algebra is given based on a labelling procedure and a combinatorial lemma applying to labelled triangulations of regions of the complex plane.

This research was supported by the National Science Foundation under Grant GP-35698X.

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M. L. Balinski

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Dedicated to Al Tucker, inspired teacher, valued colleague, and treasured friend, with the hope that he will see in it the results of his instruction and example

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© 1974 The Mathematical Programming Society

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Kuhn, H.W. (1974). A new proof of the fundamental theorem of algebra. In: Balinski, M.L. (eds) Pivoting and Extension. Mathematical Programming Studies, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0121246

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  • DOI: https://doi.org/10.1007/BFb0121246

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00756-9

  • Online ISBN: 978-3-642-00758-3

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