This paper presents an ODE method for solving absolute value equations without needing to compute inverse matrices.First,the problem is transformed into nonlinear equations through variable de-composition.Using the Fisher value function,these are converted into a differentiable nonlinear equation.An ODE is then designed to solve this equation,with its asymptotic convergence analyzed theoretically.The main advantage of this method is its suitability for large-scale problems,as it avoids the computation and storage of inverse matrices.Preliminary numerical experiments confirm its effectiveness.
关键词
绝对值方程/无逆矩阵ODE/渐进收敛
Key words
absolute value equations/ODE without inverse matrix/asymptotic convergence
维普
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