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Complex analysis --- Numerical methods of optimisation --- Mathematical physics --- Planning (firm) --- Computer. Automation --- theoretische fysica --- complexe analyse (wiskunde) --- informatica --- mathematische modellen --- wiskunde --- kansrekening --- optimalisatie
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The research of Jonathan Borwein has had a profound impact on optimization, functional analysis, operations research, mathematical programming, number theory, and experimental mathematics. Having authored more than a dozen books and more than 300 publications, Dr. Borwein is one of the most productive Canadian mathematicians ever. His research spans pure, applied, and computational mathematics as well as high performance computing, and continues to have an enormous impact: MathSciNet lists more than 2500 citations by more than 1250 authors, and Borwein is one of the 250 most cited mathematicians of the period 1980–1999. He has served the Canadian Mathematics Community through his presidency (2000–2002) as well as his 15 years of editing the CMS book series. Jonathan Borwein’s vision and initiative have been crucial in initiating and developing several institutions that provide support for researchers with a wide range of scientific interests. A few notable examples include the Centre for Experimental and Constructive Mathematics and the IRMACS Centre at Simon Fraser University, the Dalhousie Distributed Research Institute at Dalhousie University, the Western Canada Research Grid, and the Centre for Computer Assisted Research Mathematics and its Applications, University of Newcastle. The workshops that were held over the years in Dr. Borwein’s honor attracted high-caliber scientists from a wide range of mathematical fields. This present volume is an outgrowth of the workshop entitled ‘Computational and Analytical Mathematics,’ held in May 2011 in celebration of Jonathan Borwein’s 60th Birthday. The collection contains various state-of-the-art research manuscripts and surveys presenting contributions that have risen from the conference, and is an excellent opportunity to survey state-of-the-art research and discuss promising research directions and approaches.
Mathematical analysis. --- Number theory --- Mathematical analysis --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Numerical analysis. --- 517.1 Mathematical analysis --- Mathematics. --- Functional analysis. --- Operator theory. --- Number theory. --- Operations research. --- Management science. --- Number Theory. --- Functional Analysis. --- Operator Theory. --- Operations Research, Management Science. --- Functional analysis --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Number study --- Numbers, Theory of --- Quantitative business analysis --- Management --- Problem solving --- Operations research --- Statistical decision --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Borwein, Jonathan M. --- Borwein, J.
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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.
Complex analysis --- Numerical methods of optimisation --- Mathematical physics --- Planning (firm) --- Computer. Automation --- theoretische fysica --- complexe analyse (wiskunde) --- informatica --- mathematische modellen --- wiskunde --- kansrekening --- optimalisatie
Choose an application
The research of Jonathan Borwein has had a profound impact on optimization, functional analysis, operations research, mathematical programming, number theory, and experimental mathematics. Having authored more than a dozen books and more than 300 publications, Dr. Borwein is one of the most productive Canadian mathematicians ever. His research spans pure, applied, and computational mathematics as well as high performance computing, and continues to have an enormous impact: MathSciNet lists more than 2500 citations by more than 1250 authors, and Borwein is one of the 250 most cited mathematicians of the period 1980–1999. He has served the Canadian Mathematics Community through his presidency (2000–2002) as well as his 15 years of editing the CMS book series. Jonathan Borwein’s vision and initiative have been crucial in initiating and developing several institutions that provide support for researchers with a wide range of scientific interests. A few notable examples include the Centre for Experimental and Constructive Mathematics and the IRMACS Centre at Simon Fraser University, the Dalhousie Distributed Research Institute at Dalhousie University, the Western Canada Research Grid, and the Centre for Computer Assisted Research Mathematics and its Applications, University of Newcastle. The workshops that were held over the years in Dr. Borwein’s honor attracted high-caliber scientists from a wide range of mathematical fields. This present volume is an outgrowth of the workshop entitled ‘Computational and Analytical Mathematics,’ held in May 2011 in celebration of Jonathan Borwein’s 60th Birthday. The collection contains various state-of-the-art research manuscripts and surveys presenting contributions that have risen from the conference, and is an excellent opportunity to survey state-of-the-art research and discuss promising research directions and approaches.
Mathematics --- Number theory --- Operator theory --- Functional analysis --- Operational research. Game theory --- Mathematical statistics --- Planning (firm) --- computervisie --- analyse (wiskunde) --- functies (wiskunde) --- mathematische modellen --- econometrie --- wiskunde --- operationeel onderzoek --- getallenleer
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