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- W2748232486 abstract "Abstract A number of hunting procedures and implementation techniques are presented and compared. The purpose of these methods is to solve higher-order boundary value problems with rapid convergence. The methods are based on first-order perturbation theory. They make use of partial derivatives of the dependent variables with respect to the independent variables to achieve successive improvements in estimated values of the independent variables. General equations are developed for updating the original partial derivative matrix on each succeeding iteration. Several updating schemes using past errors in the desired dependent variables and past independent variable increments are investigated, and their relative merits are discussed. The hunting procedures developed permit the solution of problems in which the number of independent variables is greater than or equal to the number of desired output conditions. A method of modifying the inverse of the partial derivative matrix is developed for the case of an equal number of independent and dependent parameters. Other techniques investigated include a method for limiting the step size and a method for determining the “optimum” step size. Results obtained by applying these techniques to trajectory shaping and to root-finding of analytic functions are presented." @default.
- W2748232486 created "2017-08-31" @default.
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- W2748232486 date "1965-08-16" @default.
- W2748232486 modified "2023-09-27" @default.
- W2748232486 title "Parameter hunting procedures" @default.
- W2748232486 doi "https://doi.org/10.2514/6.1965-693" @default.
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