Now showing items 1-10 of 15
Pattern Search Algorithms for Mixed Variable General Constrained Optimization Problems
A new class of algorithms for solving nonlinearly constrained mixed variable optimization problems is presented. The Audet-Dennis Generalized Pattern Search (GPS) algorithm for bound constrained mixed variable optimization ...
A New Global Optimization Strategy for the Molecular Replacement Problem
The primary technique for determining the three-dimensional structure of a protein is X-ray crystallography, in which the molecular replacement (MR) problem arises as a critical step. Knowledge of protein structures is ...
Programming the Nanocell, a Random Array of Molecules
The emerging field of molecular electronics seeks to create computational function from individual molecules or arrays of molecules. These nanoscale devices would then enable the production of faster, denser, cheaper ...
Bounds on Eigenvalue Decay Rates and Sensitivity of Solutions to Lyapunov Equations
Balanced model reduction is a technique for producing a low dimensional approximation to a linear time invariant system. An important feature of balanced reduction is the existence of an error bound that is closely related ...
Variationally Constrained Numerical Solution of Electrical Impedance Tomography
We propose a novel, variational inversion methodology for the electrical impedance tomography problem, where we seek electrical conductivity σ inside a bounded, simply connected domain Ω, given simultaneous measurements ...
Generalized Pattern Searches with Derivative Information
A common question asked by users of direct search algorithms is how to use derivative information at iterates where it is available. This paper addresses that question with respect to Generalized Pattern Search (GPS) ...
Computational Experience with Lenstra's Algorithm
Integer programming is an important mathematical approach for many decision-making problems. In this field, a major theoretical breakthrough came in 1983 when H. W. Lenstra, Jr. proposed a polynomial-time algorithm for a ...
Hundred Digit Challenge Solutions
This paper details our solutions to the "Hundred-dollar, Hundred-digit Challenge", which appeared in Volume 35, Number 1 of SIAM News.
A Global Optimization Method for the Molecular Replacement Problem in X-ray Crystallography
The primary technique for determining the three-dimensional structure of a protein molecule is X-ray crystallography, from which the molecular replacement (MR) problem often arises as a critical step. The MR problem is a ...
A Variational Study of the Electrical Impedance Tomography Problem
This research is focused on the numerical solution of the inverse conductivity problem, widely known as electrical impedance tomography (EIT). The EIT problem is concerned with imaging electrical properties, such as ...