A finite algorithm for the exact evaluation of higher order partial derivatives of functions of many variables

DOI10.1016/0022-247X(83)90266-4zbMath0565.65007OpenAlexW2146051084MaRDI QIDQ1058806

J. Blot

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(83)90266-4

zbMATH Keywords

Jacobianspower series expansionspartial derivativesgradientsHessians

Mathematics Subject Classification ID

Numerical differentiation (65D25)

Related Items

Automation of nested matrix and derivative operations ⋮ Automatic evaluation of derivatives ⋮ An algorithm for exact evaluation of multivariate functions and their derivatives to any order ⋮ Solving nonlinear equations by adaptive homotopy continuation ⋮ Nonlocal automated sensitivity analysis ⋮ Nonlocal sensitivity analysis, automatic derivative evaluation, and sequential nonlinear estimation ⋮ Automatic differentiation of functions of derivatives ⋮ Work by Robert Kalaba on automated sensitivity analysis ⋮ Automatic differentiation in MATLAB ⋮ On the use of higher order derivatives in optimization using Lagrange's expansion ⋮ Automatic differentiation: Reduced gradient and reduced Hessian matrix ⋮ An ADA library for automatic evaluation of derivatives ⋮ Nonlinear least squares via automatic derivative evaluation ⋮ On the use of the table method in constrained optimization

Uses Software

• SAS

Cites Work

• Unnamed Item
• Local and nonlocal comparative static analysis of economic systems
• Complete comparative static differential equations
• A simple automatic derivative evaluation program
• Wengert's numerical method for partial derivatives, orbit determination and quasilinearization

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