Automation of Nested Matrix and Derivative Operations
AbstractIn Kalaba, Tesfatsion, and Wang (JMAA,1983) an algorithm was developed for the exact forward-mode automatic evaluation of higher-order partial derivatives of functions of many variables using derivative arrays. This algorithm was supported by a library of "calculus subroutines" for many standard one-variable and two-variable functions. This article extends the FEED library to permit the automatic differentiation of expressions involving nested matrix and derivative operations. The need to differentiate such expressions arose naturally in the course of designing sequential filters for a class of nonlinear tracking problems. Annotated pointers to related work can be accessed at: http://www.econ.iastate.edu/tesfatsi/nasahome.htm
Download InfoTo our knowledge, this item is not available for download. To find whether it is available, there are three options:
1. Check below under "Related research" whether another version of this item is available online.
2. Check on the provider's web page whether it is in fact available.
3. Perform a search for a similarly titled item that would be available.
Bibliographic InfoPaper provided by Iowa State University, Department of Economics in its series Staff General Research Papers with number 11202.
Date of creation: 01 Jan 1987
Date of revision:
Publication status: Published in Applied Mathematics and Computation 1987, vol. 23, pp. 243-268
Contact details of provider:
Postal: Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070
Phone: +1 515.294.6741
Fax: +1 515.294.0221
Web page: http://www.econ.iastate.edu
More information through EDIRC
automatic differentiation; nested matrix and derivative operations; FEED library;
Find related papers by JEL classification:
- C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Max E. Jerrell, 1999. "Environments for Global Optimization Using Interval Arithmetic and Computational (Automatic) Differentiation," Computing in Economics and Finance 1999 1321, Society for Computational Economics.
- Max E. Jerrell, . "Automatic Differentiation and Interval Arithmetic for Estimation of Disequilibrium Models," Computing in Economics and Finance 1996 _028, Society for Computational Economics.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Stephanie Bridges) The email address of this maintainer does not seem to be valid anymore. Please ask Stephanie Bridges to update the entry or send us the correct address.
If references are entirely missing, you can add them using this form.