First Partial Differentiation by Computer with an Application to Categorical Data Analysis
- 1 November 1984
- journal article
- statistical computing
- Published by Taylor & Francis in The American Statistician
- Vol. 38 (4) , 300-308
- https://doi.org/10.1080/00031305.1984.10483235
Abstract
A strategy is presented for producing code to evaluate first partial derivatives of a function f by computer. Advantage is taken of the capabilities that a compiler must have simply to bring about the evaluation of f. A bound kt on the time it should take to evaluate the partials of f is developed, where f takes time t to evaluate and k is independent of f. The benefits of the differentiation strategy for weighted least squares analysis of categorical data are discussed.Keywords
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