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A Globally Convergent Algorithm with Adaptively Refined Discretization for Semi-Infinite Optimization Problems Arising in Engineering Design.
(1988)
Optimization problems arising in engineering design often exhibit specific features which, in the interest of computational efficiency, ought to be exploited. Such is the possible presence of 'functional' specifications, ...
Geometric Aspects in the Computation of the Structured Singular Value.
(1986)
The concept of structured signular value was recently introduced by Dolye (Proc. IEEE, vol.129, pp. 242-250, 1982) as a tool for the analysis and synthesis of feedback systems with structured uncertainties. In this paper ...
On the Generalized Stability of the Convex Hull of Two Matrices.
(1988)
Contingent on the existence of certain affine maps, necessary and sufficient conditions for the eigenvalues of all matrices belonging to the convex hull of two given matrices to lie in a subset of the complex plane are ...
When is the Multiaffine Image of a Cube a Polygon?
(1992)
We give two simple sufficient conditions under which the multiaffine image on the complex plane of an m-dimensional cube is a convex polygon. A third condition which, in some generic sense, is necessary and sufficient is ...
A Superlinearly Convergent Method of Feasible Directions for Optimization Problems Arising in the Design of Engineering Systems.
(1985)
Optimization problems arising from engineering design problems often involve the solution of one or several constrained minimax optimization problems. It is sometimes crucial that all iterates constructed when solving such ...
Interaction, Specification Refinement, and Tradeoff Exploration in Optimization-Based Design of Engineering Systems.
(1985)
The classical nonlinear programming problem formulation is often too rigid to adequately describe an engineering design problem. Recently a design methodology was developed, based on a problem formulation featuring three ...
Robust Stability of Complex Families of Matrices and Polynomials
(1990)
Recently, the authors introduced the "guardian map" approach as a unifying tool in the study of robust generalized stability questions for marametrized families of matrices and polynomials. Real matrices and polynomials ...
Maximal Range for Generalized Stability- Application to Two Physically Motivated Examples.
(1989)
Some recent results on guardian maps and their application to generalized robust stability are reviewed and a characterization of the maximum stability range is obtained. This framework is then applied to the analysis of ...
Avoiding the Maratos Effect by Means of a Nonrnonotone Line Search: I. General Constrained Problems.
(1989)
An essential condition for quasi-Newton optimization methods to converge superlinearly is that a full step of one be taken close to the solution. It is well known that, when dealing with constrained optimization problems, ...
A Note on the Positive Definiteness of BFGS Update in Constrained Optimization
(1990)
This note reviews a few existing methods to maintain the positive definiteness of BFGS in constrained optimization, and their impacts on both global and local convergence. The boundedness of the matrix from above is also ...