Author | Kagiwada, Harriet. author |
---|---|
Title | Numerical Derivatives and Nonlinear Analysis [electronic resource] / by Harriet Kagiwada, Robert Kalaba, Nima Rasakhoo, Karl Spingarn |
Imprint | Boston, MA : Springer US, 1986 |
Connect to | http://dx.doi.org/10.1007/978-1-4684-5056-9 |
Descript | 212 p. online resource |
1. Methods for Numerical Differentiation -- 1.1. Wengertโs Method -- 1.2. FEED (Fast and Efficient Evaluation of Derivatives) -- 1.3. An Implementation of the FEED Procedure in BASIC -- 1.4. Wexlerโs Approach -- 1.5. Higher-Order Methods for Finding Roots -- Exercises -- 2. Nonlinear Least Squares -- 2.1. Fitting the CES Production Function -- 2.2. Passive Ranging -- 2.3. Constrained Optimization -- 3. Optimal Control -- 3.1. Control Theory -- 3.2. Numerical Methods -- 3.3. Description of the Subroutines -- 3.4. Examples of Optimal Control Problems -- 3.5. Program Listings -- Exercises -- 4. System Identification -- 4.1. Quasilinearization -- 4.2. Fast and Efficient Evaluation of Derivatives (FEED) -- 4.3. Computer Program -- 4.4. Numerical Results -- 4.5. Program Listing -- 5. Sukhanovโs Variable Initial Value Method for Boundary Value Problems -- 5.1. Sukhanovโs Initial Value Equations -- 5.2. Automatic Derivative Evaluation -- 5.3. Examples Using Sukhanovโs Method -- 5.4. Program Listing -- Exercises -- 6. Nonlinear Integral Equations -- 6.1. Derivation of the Imbedding Equations -- 6.2. Method of Computation -- 6.3. Automatic Derivative Evaluation -- 6.4. Examples of Integral Equation Problems -- 6.5. Program Listing -- Exercises -- References -- Author Index