Reciprocal polynomial
id:
reciprocal-polynomial-188-3027771
title:
Reciprocal polynomial
text:
In algebra, given a polynomial
- p = a 0 + a 1 x + a 2 x 2 + ⋯ + a n x n, with coefficients from an arbitrary field, its reciprocal polynomial or reflected polynomial, denoted by p∗ or pR, is the polynomial
- p ∗ = a n + a n − 1 x + ⋯ + a 0 x n = x n p. That is, the coefficients of p∗ are the coefficients of p in reverse order. Reciprocal polynomials arise naturally in linear algebra as the characteristic polynomial of the inverse of a matrix. In the special case where the field is the compl
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Reciprocal_polynomial
date created:
2004-10-26T20:37:44Z
date modified:
2024-09-08T18:26:33Z
main entity:
{"identifier":"Q1422356","url":"https://www.wikidata.org/entity/Q1422356"}
image:
fields total:
13
integrity:
14