Regularization of Solutions of Nonlinear Equations with Singular Jacobian Matrices

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概要

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• We consider a solution of a nonlinear equation with the singular Jacobian matrix at the solution. So far, to such a solution, it has been difficult to get an approximation with high accuracy since the Jacobian matrix is singular. We propose a method for overcoming the difficulty arising from the singularity of the Jacobian matrix. We call this process the "regularization of solutions of nonlinear equations". Since a system of nonlinear equations obtained from the regularization has a solution which makes the Jacobian matrix of the system non-singular and contains the above-mentioned solution, we can get an approximation of the system solution as accurately as we desire by the Newton method. Hence we can also obtain a desired approximation to the solution of the original equation.

• 一般社団法人情報処理学会の論文
• 1984-03-31

著者

• Yamamoto Norio

  Faculty Of Engineering Tokushima University

関連論文

• Regularization of Solutions of Nonlinear Equations with Singular Jacobian Matrices

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