Parallel tangents and steepest descent optimization algorithm-a computer implementation with application to linear, partially linear models and qualitative data†

DOI10.1080/00949657208810027zbMath0247.62002OpenAlexW1991002907MaRDI QIDQ5660363

Oscar Kempthorne, Takis Papaioannou

Publication date: 1972

Published in: Journal of Statistical Computation and Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00949657208810027

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to statistics (62-04) Mathematical programming (90C99) Software, source code, etc. for problems pertaining to calculus of variations and optimal control (49-04)

Cites Work

• Gradient methods of maximization
• On the Hypothesis of No "Interaction" In a Multi-way Contingency Table
• Calculation of Chi-Square to Test the No Three-Factor Interaction Hypothesis
• An Iterative Method for Finding Stationary Values of a Function of Several Variables
• Variable Metric Method for Minimization
• Some Algorithms for Minimizing a Function of Several Variables
• A Rapidly Convergent Descent Method for Minimization
• Methods of conjugate gradients for solving linear systems
• A method for the solution of certain non-linear problems in least squares
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Parallel tangents and steepest descent optimization algorithm-a computer implementation with application to linear, partially linear models and qualitative data^†