(1) Civil and Environmental Engineering Department, University of California, Davis, California;(2) Biomedical Engineering and Economics Departments, University of Southern California, Los Angeles, California
Abstract:
A linear-quadratic optimization problem is formulated in a dynamic programming manner. An updating formula for obtaining the
solutions to such a problem is provided and illustrated using a few simple examples. This updating formula is also compared
to a well-known updating formula for obtaining the inverses of symmetric positive-definite matrices. Numerical results are
given.