Special Nonlinear Optimization Techniques.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING
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This thesis extends the work of Leighton and Jones which takes functions that satisfy special types of differential equations and determines an interval on which the functions either have zeros or attain bounded values. Theorems for locating zeros are proved for functions of a single variable and functions of several variables with illustrative examples. The applications of matrix equations to constrained optimization problems are described. An algorithm for random search technique for the general optimization problem is presented with a FORTRAN V program and test problems. Author
- Theoretical Mathematics
- Computer Programming and Software