Acta mathematica scientia, Series B >
ON SETS OF ZEROES OF CLIFFORD ALGEBRA-VALUED POLYNOMIALS
Received date: 2009-02-08
Revised date: 2009-04-26
Online published: 2010-05-20
Supported by
This project sponsored by the National Natural Science Funds for Young Scholars (10901166), the Scientific Research Foundation for the Youth Scholars of Sun Yat-Sen University, and the Research Grant of University of Macau on Applications of Hyper-Complex Analysis (cativo: 7560).
In this note, we study zeroes of Clifford algebra-valued polynomials. We prove that if such a polynomial has only real coefficients, then it has two types of zeroes: the real isolated zeroes and the spherical conjugate ones. The total number of zeroes does not exceed the degree of the polynomial. We also present a technique for computing the zeroes.
Key words： Clifford algebra; zeroes of polynomials
YANG Yan , QIAN Tao . ON SETS OF ZEROES OF CLIFFORD ALGEBRA-VALUED POLYNOMIALS[J]. Acta mathematica scientia, Series B, 2010 , 30(3) : 1004 -1012 . DOI: 10.1016/S0252-9602(10)60097-5
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