The application of nonlinear programming methods to the solution of constrained saddle-point problems.
Hood, John Timothy
Kirk, Donald E.
MetadataShow full item record
Nonlinear programming methods are used to solve saddle-point problems subject to inequality constraints on the variables; in particular, the type of saddle-point problem arising in pursuit-evasion differential games is considered. The methods investigated fall into two groups: solution of the nonlinear simultaneous equations obtained from the Kuhn-Tucker conditions, and solution of a sequence of constrained optimization problems by the gradient projection algorithm. These methods are applicable to any real-valued function f(x,y) which is convex in x, concave in y, and has continuous and bounded second partial derivatives. Several examples are given which illustrate the characteristics of the numerical procedures .
Approved for public release; distribution is unlimited
Showing items related by title, author, creator and subject.
Agrawal, B.N. (1993);This paper presents a boundary-layer model to predict dynamic characteristics of liquid motion in partially filled tanks of a spinning spacecraft. The solution is obtained by solving three boundary-value problems: an ...
Agrawal, B.N. (1990);This paper presents a boundary layer model to predict dynamic characteristics of liquid motion in partially filled tanks of a spinning spacecraft. The solution is obtained by solving three boundary value problems: inviscid, ...
Felt, Donald L. (Monterey, California: Naval Postgraduate School, 1963);Theoretical analyses of flow with rotating passages of turbi0machinery have become necessary for the proper design of turbo-pump elements in liquid fuel boosters and power conversion units. One such theory is presented, ...