03713nam a22005415i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001200153072001700165072002300182082001200205245021800217264004600435300003400481336002600515337002600541338003600567347002400603490006500627520167200692650001702364650001602381650002602397650002502423650002802448650001302476650001702489650005402506650006202560650005402622650004702676650005702723700003202780700003302812700003502845700002602880700003102906700003102937710003402968773002003002776003603022830006503058856004803123978-1-4419-9569-8DE-He21320180115171506.0cr nn 008mamaa110526s2011 xxu| s |||| 0|eng d a97814419956987 a10.1007/978-1-4419-9569-82doi 4aQA71-90 7aPBKS2bicssc 7aMAT0060002bisacsh04a51822310aFixed-Point Algorithms for Inverse Problems in Science and Engineeringh[electronic resource] /cedited by Heinz H. Bauschke, Regina S. Burachik, Patrick L. Combettes, Veit Elser, D. Russell Luke, Henry Wolkowicz. 1aNew York, NY :bSpringer New York,c2011. aXII, 404 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aSpringer Optimization and Its Applications,x1931-6828 ;v49 a 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. 0aMathematics. 0aAlgorithms. 0aComputer mathematics. 0aMathematical models. 0aCalculus of variations. 0aPhysics.14aMathematics.24aComputational Mathematics and Numerical Analysis.24aCalculus of Variations and Optimal Control; Optimization.24aMathematical Modeling and Industrial Mathematics.24aAlgorithm Analysis and Problem Complexity.24aTheoretical, Mathematical and Computational Physics.1 aBauschke, Heinz H.eeditor.1 aBurachik, Regina S.eeditor.1 aCombettes, Patrick L.eeditor.1 aElser, Veit.eeditor.1 aLuke, D. Russell.eeditor.1 aWolkowicz, Henry.eeditor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9781441995681 0aSpringer Optimization and Its Applications,x1931-6828 ;v4940uhttp://dx.doi.org/10.1007/978-1-4419-9569-8