In the case of small deformation, cumulative errors and time consumption are the crux blocking the application of flow theory for material nonlinearity problems. To overcome these blockages, a new algorithm is proposed in the present paper. Different from traditional methods, the theory of generalized inverse of matrix and a new optimization approach are introduced to give full play of the force method. As one of the main advantages, parallel computation process is used to replace the step by step solution process. Time consumption are therefore reduced and cumulative errors suppressed in essence.
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