Newton's method for overdetermined systems of equations

Newton's method for overdetermined systems of equations
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DOI:
10.1090/s0025-5718-99-01115-1
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发表时间:
2000-07-01
影响因子:
2
通讯作者:
Shub, M
Shub, M
中科院分区:
数学2区
文献类型:
--
作者:
Dedieu, JP;Shub, M

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对于平方或欠定多项式方程组的延拓方法的复杂性理论方面已经由不同的作者进行了研究。在本文中,我们考虑的超定系统中有更多的方程比未知数。我们研究了这样一个系统的牛顿方法。
Complexity theoretic aspects of continuation methods for the solution of square or underdetermined systems of polynomial equations have been studied by various authors. In this paper we consider overdetermined systems where there are more equations than unknowns. We study Newton's method for such a system.