Multiscale optimization methods and appl
β Hager W.W., Huang S.-J., Pardalos P.M., Prokopyev O.A. (eds.)
π Library
π
2006
π Springer
π English
β¦ LIBER β¦
π
Multiscale optimization methods and applications
β Scribed by William W. Hager
- Publisher
- BirkhΓ€user
- Year
- 2006
- Tongue
- English
- Leaves
- 416
- Series
- Nonconvex Optimization and its Applications volume 82
- Edition
- 1
- Category
- Library
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β¦ Synopsis
As optimization researchers tackle larger and larger problems, scale interactions play an increasingly important role. One general strategy for dealing with a large or difficult problem is to partition it into smaller ones, which are hopefully much easier to solve, and then work backwards towards the solution of original problem, using a solution from a previous level as a starting guess at the next level. This volume contains 22 chapters highlighting some recent research. The topics of the chapters selected for this volume are focused on the development of new solution methodologies, including general multilevel solution techniques, for tackling difficult, large-scale optimization problems that arise in science and industry. Applications presented in the book include but are not limited to the circuit placement problem in VLSI design, a wireless sensor location problem, optimal dosages in the treatment of cancer by radiation therapy, and facility location.
β¦ Table of Contents
Contents......Page 6
Multiscale Optimization in VLSI Physical Design Automation......Page 17
A Distributed Method for Solving Semidefinite Programs Arising from Ad Hoc Wireless Sensor Network Localization......Page 84
Optimization Algorithms for Sparse Representations and Applications......Page 100
A Unified Framework for Modeling and Solving Combinatorial Optimization Problems: A Tutorial......Page 115
Global Convergence of a Non-monotone Trust-Region Filter Algorithm for Nonlinear Programming......Page 139
Factors Affecting the Performance of Optimization-based Multigrid Methods......Page 165
A Local Relaxation Method for Nonlinear Facility Location Problems......Page 187
Fluence Map Optimization in IMRT Cancer Treatment Planning and A Geometric Approach......Page 219
Panoramic Image Processing using Non-Commutative Harmonic Analysis Part I: Investigation......Page 242
Generating Geometric Models through Self-Organizing Maps......Page 253
Self-similar Solution of Unsteady Mixed Convection Flow on a Rotating Cone in a Rotating Fluid......Page 263
Homogenization of a Nonlinear Elliptic Boundary Value Problem Modelling Galvanic Interactions on a Heterogeneous Surface......Page 274
A Simple Mathematical Approach for Determining Intersection of Quadratic Surfaces......Page 282
Applications of Shape-Distance Metric to Clustering Shape-Databases......Page 310
Accurately Computing the Shape of Sandpiles......Page 316
Shape Optimization of Transfer Functions......Page 324
Achieving Wide Field of View Using Double-Mirror Catadioptric Sensors......Page 338
Darcy Flow, Multigrid, and Upscaling......Page 347
Iterated Adaptive Regularization for the Operator Equations of the First Kind......Page 377
Recover Multi-tensor Structure from HARD MRI Under Bi-Gaussian Assumption......Page 388
PACBB: A Projected Adaptive Cyclic Barzilai-Borwein Method for Box Constrained Optimization......Page 396
Nonrigid Correspondence and Classification of Curves Based on More Desirable Properties......Page 402
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