Nonlinear Survey Data Processing Based on the Conjugate Gradient Method and the Steepest Descent Method
Ning Wei, Qing Xi-hong
Abstract
Ning Wei, Qing Xi-hong
Abstract
The conjugate gradient method and the steepest descent method are combined, and a new method-mixed algorithm method for solving the problem of nonlinear survey data processing is created in this paper. The mixed method makes use of their good convergence merit, and raises the convergence rate of the conjugate gradient method and solves the problem for which the steepest descent method can not solve in the condition with bad characteristics for objective function. Compared with the conjugate method or the steepest descent method, the method has features with quick convergence rate, large convergence range and wide accommodation.
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The conjugate gradient method and the steepest descent method are combined, and a new method-mixed algorithm method for solving the problem of nonlinear survey data processing is created in this paper. The mixed method makes use of their good convergence merit, and raises the convergence rate of the conjugate gradient method and solves the problem for which the steepest descent method can not solve in the condition with bad characteristics for objective function. Compared with the conjugate method or the steepest descent method, the method has features with quick convergence rate, large convergence range and wide accommodation.
Key concepts: Nonlinear conjugate gradient method, Conjugate gradient method, Gradient descent, Method of steepest descent, Derivation of the conjugate gradient method, Rate of convergence, Conjugate residual method, Convergence (economics)