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Author: Karl Gustafson Publisher: World Scientific ISBN: 9814366285 Category : Mathematics Languages : en Pages : 259
Book Description
Karl Gustafson is the creater of the theory of antieigenvalue analysis. Its applications spread through fields as diverse as numerical analysis, wavelets, statistics, quantum mechanics, and finance. Antieigenvalue analysis, with its operator trigonometry, is a unifying language which enables new and deeper geometrical understanding of essentially every result in operator theory and matrix theory, together with their applications. This book will open up its methods to a wide range of specialists.
Author: Karl Gustafson Publisher: World Scientific ISBN: 9814366285 Category : Mathematics Languages : en Pages : 259
Book Description
Karl Gustafson is the creater of the theory of antieigenvalue analysis. Its applications spread through fields as diverse as numerical analysis, wavelets, statistics, quantum mechanics, and finance. Antieigenvalue analysis, with its operator trigonometry, is a unifying language which enables new and deeper geometrical understanding of essentially every result in operator theory and matrix theory, together with their applications. This book will open up its methods to a wide range of specialists.
Author: Dietrich von Rosen Publisher: Springer ISBN: 3319787845 Category : Mathematics Languages : en Pages : 473
Book Description
This book expands on the classical statistical multivariate analysis theory by focusing on bilinear regression models, a class of models comprising the classical growth curve model and its extensions. In order to analyze the bilinear regression models in an interpretable way, concepts from linear models are extended and applied to tensor spaces. Further, the book considers decompositions of tensor products into natural subspaces, and addresses maximum likelihood estimation, residual analysis, influential observation analysis and testing hypotheses, where properties of estimators such as moments, asymptotic distributions or approximations of distributions are also studied. Throughout the text, examples and several analyzed data sets illustrate the different approaches, and fresh insights into classical multivariate analysis are provided. This monograph is of interest to researchers and Ph.D. students in mathematical statistics, signal processing and other fields where statistical multivariate analysis is utilized. It can also be used as a text for second graduate-level courses on multivariate analysis.
Author: Ioannis Antoniou Publisher: CRC Press ISBN: 1000657744 Category : Mathematics Languages : en Pages : 360
Book Description
Nobel prize winner Ilya Prigogine writes in his preface: "Irreversibility is a challenge to mathematics...[which] leads to generalized functions and to an extension of spectral analysis beyond the conventional Hilbert space theory." Meeting this challenge required new mathematical formulations-obstacles met and largely overcome thanks primarily to the contributors to this volume." This compilation of works grew out of material presented at the "Hyperfunctions, Operator Theory and Dynamical Systems" symposium at the International Solvay Institutes for Physics and Chemistry in 1997. The result is a coherently organized collective work that moves from general, widely applicable mathematical methods to ever more specialized physical applications. Presented in two sections, part one describes Generalized Functions and Operator Theory, part two addresses Operator Theory and Dynamical Systems. The interplay between mathematics and physics is now more necessary than ever-and more difficult than ever, given the increasing complexity of theories and methods.
Author: Barry C. Arnold Publisher: Springer Nature ISBN: 3030836703 Category : Mathematics Languages : en Pages : 447
Book Description
Dedicated to one of the most outstanding researchers in the field of statistics, this volume in honor of C.R. Rao, on the occasion of his 100th birthday, provides a bird’s-eye view of a broad spectrum of research topics, paralleling C.R. Rao’s wide-ranging research interests. The book’s contributors comprise a representative sample of the countless number of researchers whose careers have been influenced by C.R. Rao, through his work or his personal aid and advice. As such, written by experts from more than 15 countries, the book’s original and review contributions address topics including statistical inference, distribution theory, estimation theory, multivariate analysis, hypothesis testing, statistical modeling, design and sampling, shape and circular analysis, and applications. The book will appeal to statistics researchers, theoretical and applied alike, and PhD students. Happy Birthday, C.R. Rao!
Author: P.J. Narayanan Publisher: Springer ISBN: 3540324321 Category : Computers Languages : en Pages : 1005
Book Description
These volumes present together a total of 64 revised full papers and 128 revised posters papers. The papers are organized in topical sections on camera calibration, stereo and pose, texture, face recognition, variational methods, tracking, geometry and calibration, lighting and focus, in the first volume. The papers of the second volume cover topics as detection and applications, statistics and kernels, segmentation, geometry and statistics, signal processing, and video processing.
Author: Karl E. Gustafson Publisher: World Scientific ISBN: 9789810232139 Category : Drama Languages : en Pages : 188
Book Description
Pt. I. Recent developments in computational fluid dynamics. ch. 1. Cavity flow -- ch. 2. Hovering aerodynamics. ch. 3. Capturing correct solutions -- pt. II. Recent developments in mathematical physics. ch. 1. Probabilistic and deterministic description. ch. 2. Scaling theories. ch. 3. Chaos in iterative maps -- pt. III. Recent developments in linear algebra. ch. 1. Operator Trigonometry. ch. 2. Antieigenvalues. ch. 3. Computational linear algebra
Author: Karl Gustafson
Author: Karl Gustafson
Author: Dietrich von Rosen
Author: Ioannis Antoniou
Author: Barry C. Arnold
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Author: P.J. Narayanan
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Author: Karl E. Gustafson
Author: North-Holland Publishing Company
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