| 多元整系数多项式因式分解的一种理论和算法 |
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| 引用本文： | 余新国 赖楚生. 多元整系数多项式因式分解的一种理论和算法[J]. 应用数学, 1995, 8(3): 339-344 |
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| 作者姓名： | 余新国 赖楚生 |
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| 作者单位： | 华中理工大学计算机系，华中理工大学计算机系，华中理工大学计算机系 武汉 430074，武汉 430074，武汉 430074 |
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| 摘 要： | 本文将ｔ（ｔ是大于２的整数）元整系数多项式看成为系数为ｔ－２元整系数多项式的二元多项式，建立了多元整系数多项式因式分解的一种新理论，进而得到了分解多元整系数多项式的一个有力的算法。
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| 关 键 词： | 多项式 算法 因式分解 整多项式 算法 |
A Theory and Algorithm for Factoring Multivariate Polynomials with Integral Coefficients |
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| Yu Xin guo Lai Chusheng Huang Wenqi. A Theory and Algorithm for Factoring Multivariate Polynomials with Integral Coefficients[J]. Mathematica Applicata, 1995, 8(3): 339-344 |
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| Authors: | Yu Xin guo Lai Chusheng Huang Wenqi |
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| Affiliation: | Huanghong University of Science and Tewchnology |
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| Abstract: | This paper regards a polynomials in t variables (t is an integral numbe and greater than 2) with integral coefficients as a birariate polynomial with polynomials in t-z variables with integral coefficients as its coefficients. We found a new theory of factorization of multivariate polynomials with integral coefficients. Furthermore,a strong algorithm is constructed for factoring multivariate polynonials with integral coefficients. |
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| Keywords: | Polynomial Algorithm Factorization Lattice |
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