Nonlocal sensitivity analysis, automatic derivative evaluation, and sequential nonlinear estimation (Q1107245)
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scientific article; zbMATH DE number 4064311
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlocal sensitivity analysis, automatic derivative evaluation, and sequential nonlinear estimation |
scientific article; zbMATH DE number 4064311 |
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Nonlocal sensitivity analysis, automatic derivative evaluation, and sequential nonlinear estimation (English)
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1986
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The present paper summarizes recent work by the authors on computational methods for nonlinear processes. Section 2 develops a complete set of ordinary differential equations for generating solutions to parameterized systems of nonlinear equations over parameter intervals of interest. Section 3 presents a simple finite algorithm for the systematic exact evaluation of higher-order partial derivatives. Section 4 obtains an exact sequential characterization for the solution to a general nonlinear least-squares estimation problem as the duration of the process increases and additional observations are made.
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nonlocal sensitivity analysis
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automatic derivative evaluation
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sequential nonliner estimation
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complete set of ordinary differential equations for generating solutions to parameterized systems of nonlinear equations
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algorithm
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exact evaluation of higher-order partial derivatives
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general nonlinear least-squares estimation
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