ON SETS OF ZEROES OF CLIFFORD ALGEBRA-VALUED POLYNOMIALS

被引：0
|
作者：
杨燕 [1 ,2 ]
钱涛 [1 ,2 ]
机构：
[1] School of Mathematics and Computational Science, Sun Yat-Sen University
[2] Department of Mathematics, Faculty of Science and Technology, University of Macau
来源：
Acta Mathematica Scientia | 2010年 / 30卷 / 03期
关键词：
Clifford algebra; zeroes of polynomials;
D O I：
暂无
中图分类号：
O174.14 [多项式理论];
学科分类号：
摘要：
In this note, we study zeroes of Clifford algebra-valued polynomials. We prove that if such a polynomial has only real coefflcients, 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.
引用
收藏
页码：1004 / 1012
页数：9
相关论文
共 50 条
  • [1] ON SETS OF ZEROES OF CLIFFORD ALGEBRA-VALUED POLYNOMIALS
    Yan, Yang
    Tao, Qian
    ACTA MATHEMATICA SCIENTIA, 2010, 30 (03) : 1004 - 1012
  • [2] On the Zeroes of Clifford Algebra-Valued Polynomials with Paravector Coefficients
    Ming-Sheng Liu
    Na Xiang
    Yan Yang
    Advances in Applied Clifford Algebras, 2017, 27 : 1531 - 1550
  • [3] On the Zeroes of Clifford Algebra-Valued Polynomials with Paravector Coefficients
    Liu, Ming-Sheng
    Xiang, Na
    Yang, Yan
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017, 27 (02) : 1531 - 1550
  • [4] Spinor-valued and Clifford algebra-valued harmonic polynomials
    Homma, Y
    JOURNAL OF GEOMETRY AND PHYSICS, 2001, 37 (03) : 201 - 215
  • [5] Clifford algebra-valued orthogonal polynomials in Euclidean space
    Brackx, F
    De Schepper, N
    Sommen, F
    JOURNAL OF APPROXIMATION THEORY, 2005, 137 (01) : 108 - 122
  • [6] A Matrix Recurrence for Systems of Clifford Algebra-Valued Orthogonal Polynomials
    Cacao, I.
    Falcao, M. I.
    Malonek, H. R.
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2014, 24 (04) : 981 - 994
  • [7] A Matrix Recurrence for Systems of Clifford Algebra-Valued Orthogonal Polynomials
    I. Cação
    M. I. Falcão
    H. R. Malonek
    Advances in Applied Clifford Algebras, 2014, 24 : 981 - 994
  • [8] Jacobi polynomials and generalized Clifford algebra-valued Appell sequences
    Cacao, Isabel
    Eelbode, David
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (10) : 1527 - 1537
  • [9] Partial primitives for Clifford algebra-valued functions
    Eelbode, D.
    Sommen, F.
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2007, 17 (03) : 411 - 424
  • [10] Partial Primitives for Clifford Algebra-Valued Functions
    D. Eelbode
    F. Sommen
    Advances in Applied Clifford Algebras, 2007, 17 : 411 - 424
12345