A Vector Space Approach
to
Models and Optimization
(7.3) MB, page-at-a-time)

By

C. Nelson Dorny
University of Pennsylvania

Copyright © 2002 by
C. Nelson Dorny
2011 Richard Drive
Broomall, PA 19008

Originally published in 1975 by
John Wiley & Sons, Inc
Reprinted and published in 1980,
1983, and 1986 by Robert Krieger Publishing Co., Inc.


This conversion from the printed text to an online version is in progress. The online version will contain corrections and an unpublished chapter (Ch. 9, on Banach Spaces).

If you discover errors or have comments or suggestions, contact
dorny@seas.upenn.edu


Chapter Contents
Page
Front Pages (with detailed Contents and Symbol list, 118 KB)
i
1. Introduction (415 KB)
1

2. System Models: Transformations on Vector Spaces (1.57 MB)
      (pp.33-50; 347 MB)   (pp.51-62; 288 MB)   (pp. 63-70; 271 MB)  
      (pp. 71-80; 286 MB)   (pp.81-92; 446 MB)

33
3. Linear Differential Operators (1.23 MB)
93
4. Spectral Analysis of Linear Systems (2.24 MB)
144
5. Hilbert Spaces (1.8 MB)
237
6. Least-Square Minimization
332
7. Characterizing the Optimum:  Linearization in a Hilbert Space
395

8. Computing the Optimum:  Iteration in a Hilbert Space

472
Appendix 1: Matrices and Determinants
559
Appendix 2: Delta Functions and Linear System Equations
566
Appendix 3: Decomposition Theorems
578
Answers to Selected Problems
582
Index
593
9. Optimization in a Banach Space
600