Publication:
Real Root Polynomials and Real Root Preserving Transformations

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Issued Date

2021

Resource Type

Article

Language

eng

File Type

application/pdf

ISSN

1611712

DOI

10.1155/2021/5585480

Other identifier(s)

2-s2.0-85105721814

Rights Holder(s)

Scopus

Bibliographic Citation

International Journal of Mathematics and Mathematical Sciences. Vol 2021, No. (2021)

Suggested Citation

Pongprasert S., Chaengsisai K., Kaewleamthong W., Sriphrom P. Real Root Polynomials and Real Root Preserving Transformations. International Journal of Mathematics and Mathematical Sciences. Vol 2021, No. (2021). doi:10.1155/2021/5585480 Retrieved from: https://hdl.handle.net/20.500.14740/8054

Title

Real Root Polynomials and Real Root Preserving Transformations

Author(s)

Pongprasert S.
 Chaengsisai K.
 Kaewleamthong W.
 Sriphrom P.

Abstract

Polynomials can be used to represent real-world situations, and their roots have real-world meanings when they are real numbers. The fundamental theorem of algebra tells us that every nonconstant polynomial p with complex coefficients has a complex root. However, no analogous result holds for guaranteeing that a real root exists to p if we restrict the coefficients to be real. Let n≥1 and Pn be the vector space of all polynomials of degree n or less with real coefficients. In this article, we give explicit forms of polynomials in Pn such that all of their roots are real. Furthermore, we present explicit forms of linear transformations on Pn which preserve real roots of polynomials in a certain subset of Pn. © 2021 Suchada Pongprasert et al.

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URI

https://hdl.handle.net/20.500.14740/8054

Collections

Scopus: Year 1983-2021

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