Please use this identifier to cite or link to this item: https://ir.swu.ac.th/jspui/handle/123456789/17484
ชื่อเรื่อง: Real Root Polynomials and Real Root Preserving Transformations
ผู้แต่ง: Pongprasert S.
Chaengsisai K.
Kaewleamthong W.
Sriphrom P.
วันที่เผยแพร่: 2021
บทคัดย่อ: 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.
URI: https://ir.swu.ac.th/jspui/handle/123456789/17484
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85105721814&doi=10.1155%2f2021%2f5585480&partnerID=40&md5=67a151df3a0044c4a9912a76ba7473cc
ISSN: 1611712
Appears in Collections:Scopus 1983-2021

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