| 平移多项式的判别序列 |
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| 引用本文： | 陈旻.平移多项式的判别序列[J].系统科学与数学,2010,30(1):107-113. |
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| 作者姓名： | 陈旻 |
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| 作者单位： | 宁波大学理学院数学系,宁波,315211 |
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| 基金项目： | 国家自然科学基金(10571095)资助课题 |
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| 摘 要： | 研究平移多项式的判别序列的性质,并给出平移多项式的正根判别序列的显式表达式.
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| 关 键 词： | 多项式判别序列 平移多项式 Bezout矩阵 符号计算. |
| 收稿时间： | 2008-5-26 |
A DISCRIMINATION SEQUENCE FOR TRANSLATIONAL POLYNOMIALS |
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| CHEN Min.A DISCRIMINATION SEQUENCE FOR TRANSLATIONAL POLYNOMIALS[J].Journal of Systems Science and Mathematical Sciences,2010,30(1):107-113. |
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| Authors: | CHEN Min |
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| Institution: | Department of Mathematics, Ningbo University, Ningbo 315211 |
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| Abstract: | Discrimination system for a polynomial is a set of explicit expressions in terms of the coefficients, which is sufficient for determining the numbers andmultiplicities of the real and imaginary roots. A discrimination sequence for a translational polynomial is given: the polynomial discriminant systembeing invariant, while the positive roots ones not. An explicit expression for positive roots discriminant sequence of polynomials under translation is obtained. It can be obtained by using Bezout matrix. |
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| Keywords: | Discrimination sequence for polynomials translational polynomials Bezout matrix symbolic computation |
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