Factorization of Polynomials with Analytic Coefficients

Authors

  • Wayne Lawton Department of Mathematics, Mahidol University, Bangkok 10400, Thailand; School of Mathematics and Statistics, University of Western Australia, Perth, Australia

DOI:

https://doi.org/10.26713/cma.v4i1.157

Keywords:

Analytic curve, Factorization, Germ, Newton's theorem

Abstract

We study monic univariate polynomials whose coefficients are analytic functions of a real variable and whose roots lie in a specified analytic curve. These include characteristic polynomials of unitary and hermitian matrices whose entries are analytic functions. We use a result of Newton to prove that every polynomial in such a class is a product of degree one polynomials in the class.

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CITATION

How to Cite

Lawton, W. (2013). Factorization of Polynomials with Analytic Coefficients. Communications in Mathematics and Applications, 4(1), 11–13. https://doi.org/10.26713/cma.v4i1.157

Issue

Vol. 4 No. 1 (2013)

Section

Research Article

License

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