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中文摘要：
L-M方法是求解非线性方程组的重要方法之一，文中针对奇异非线性方程组给出了L-M方法的一种新参数为λk=‖Fk‖＋‖JTkFk‖的迭代方法。并证明了在弱于非奇异条件的局部误差有界条件下，L-M方法产生的迭代序列二阶收敛方程组的解x＊∈X＊，数值实验结果表明算法是有效的。
英文摘要：
L-M method is one of the most important methods for solving nonlinear equations. This paper gives an iterative method with the new parameter λk=‖Fk‖＋‖JTkFk‖ of L-M method for singular nonlinear equations. It proves x＊ E X＊ of iterative sequence second-order convergence equations generated by L-M method in condition of local error bound which is weaker than nonsingularity. The numerical results show that the method is effective.
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