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On Modifying Singular Values to Solve Possible Singular Systems of Non-Linear Equations

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NBER1976-03-01 更新2025-01-04 收录
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We show that if a certain nondegeneracy assumption holds, it is possible to guarantee the existence of a solution to a system of nonlinear equations f(x) = 0 whose Jacobian matrix J(x) exists but maybe singular. The main idea is to modify small singular values of J(x) in such away that the modified

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1976-03-01
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