Multiscale Optimization Methods and Applications

Multiscale Optimization in VLSI Physical Design Automation.- A Distributed Method for Solving Semidefinite Programs Arising from Ad Hoc Wireless Sensor Network Localization.- Optimization Algorithms for Sparse Representations and Applications.- A Unified Framework for Modeling and Solving Combinatorial Optimization Problems: A Tutorial.- Global Convergence of a Non-monotone Trust-Region Filter Algorithm for Nonlinear Programming.- Factors Affecting the Performance of Optimization-based Multigrid Methods.- A Local Relaxation Method for Nonlinear Facility Location Problems.- Fluence Map Optimization in IMRT Cancer Treatment Planning and A Geometric Approach.- Panoramic Image Processing using Non-Commutative Harmonic Analysis Part I: Investigation.- Generating Geometric Models through Self-Organizing Maps.- Self-similar Solution of Unsteady Mixed Convection Flow on a Rotating Cone in a Rotating Fluid.- Homogenization of a Nonlinear Elliptic Boundary Value Problem Modelling Galvanic Interactions on a Heterogeneous Surface.- A Simple Mathematical Approach for Determining Intersection of Quadratic Surfaces.- Applications of Shape-Distance Metric to Clustering Shape-Databases.- Accurately Computing the Shape of Sandpiles.- Shape Optimization of Transfer Functions.- Achieving Wide Field of View Using Double-Mirror Catadioptric Sensors.- Darcy Flow, Multigrid, and Upscaling.- Iterated Adaptive Regularization for the Operator Equations of the First Kind.- Recover Multi-tensor Structure from HARD MRI Under Bi-Gaussian Assumption.- PACBB: A Projected Adaptive Cyclic Barzilai-Borwein Method for Box Constrained Optimization.- Nonrigid Correspondence and Classification of Curves Based on More Desirable Properties.