TY - BOOK
AU - Bauschke,Heinz H.
AU - Burachik,Regina S.
AU - Combettes,Patrick L.
AU - Elser,Veit
AU - Luke,D.Russell
AU - Wolkowicz,Henry
ED - SpringerLink (Online service)
TI - Fixed-Point Algorithms for Inverse Problems in Science and Engineering
T2 - Springer Optimization and Its Applications,
SN - 9781441995698
AV - QA71-90
U1 - 518 23
PY - 2011///
CY - New York, NY
PB - Springer New York
KW - Mathematics
KW - Algorithms
KW - Computer mathematics
KW - Mathematical models
KW - Calculus of variations
KW - Physics
KW - Computational Mathematics and Numerical Analysis
KW - Calculus of Variations and Optimal Control; Optimization
KW - Mathematical Modeling and Industrial Mathematics
KW - Algorithm Analysis and Problem Complexity
KW - Theoretical, Mathematical and Computational Physics
N2 - Fixed-Point Algorithms for Inverse Problems in Science and Engineering presents some of the most recent work from leading researchers in variational and numerical analysis. The contributions in this collection provide state-of-the-art theory and practice in first-order fixed-point algorithms, identify emerging problems driven by applications, and discuss new approaches for solving these problems. This book is a compendium of topics explored at the Banff International Research Station “Interdisciplinary Workshop on Fixed-Point Algorithms for Inverse Problems in Science and Engineering” in November of 2009. The workshop included a broad range of research including variational analysis, numerical linear algebra, biotechnology, materials science, computational solid-state physics, and chemistry. Key topics and features of this book include: · Theory of Fixed-point algorithms: variational analysis, convex analysis, convex and nonconvex optimization, subdifferential calculus, nonsmooth analysis, proximal point methods, projection methods, resolvent and related fixed-point theoretic methods, and monotone operator theory · Numerical analysis of fixed-point algorithms: choice of step lengths, of weights, of blocks for block-iterative and parallel methods, and of relaxation parameters; regularization of ill-posed problems; numerical comparison of various methods · Applications: Image and signal processing, antenna optimization, location problems The wide scope of applications presented in this volume easily serve as a basis for new and innovative research and collaboration
UR - http://dx.doi.org/10.1007/978-1-4419-9569-8
ER -