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Author: Erik W. Grafarend
Publisher:
ISBN: 9783110162165
Category : Mathematical models
Languages : en
Pages : 0
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Book Description
This monograph contains a thorough treatment of methods for solving over- and underdetermined systems of equations, e.g. the minimum norm solution method with respect to weighted norms. The considered equations can be nonlinear or linear, and deterministic models as well as probabilistic ones are considered. An extensive appendix provides all necessary prerequisites like matrix algebra, matrix analysis and Lagrange multipliers, and a long list of references is also included.
Author: Erik W. Grafarend
Publisher:
ISBN: 9783110162165
Category : Mathematical models
Languages : en
Pages : 0
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Book Description
This monograph contains a thorough treatment of methods for solving over- and underdetermined systems of equations, e.g. the minimum norm solution method with respect to weighted norms. The considered equations can be nonlinear or linear, and deterministic models as well as probabilistic ones are considered. An extensive appendix provides all necessary prerequisites like matrix algebra, matrix analysis and Lagrange multipliers, and a long list of references is also included.
Author: Philippe G. Ciarlet
Publisher: Gulf Professional Publishing
ISBN: 9780444512475
Category : Mathematics
Languages : en
Pages : 502
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Book Description
Author: Gotz Alefeld
Publisher: Academic Press
ISBN: 0080916368
Category : Mathematics
Languages : en
Pages : 352
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Book Description
This book is revised and expanded version of the original German text. The arrangement of the material and the structure are essentially unchanged. All remarks in the Preface to the German Edition regarding naming conventions for formulas, theorems, lemmas, and definitions are still valid as are those concerning the arrangement and choice of material.
Author: Rabi N. Bhattacharya
Publisher: SIAM
ISBN: 089871897X
Category : Mathematics
Languages : en
Pages : 333
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Book Description
-Fourier analysis, --
Author: W. F. Caspary
Publisher:
ISBN: 9780858390447
Category : Deformations (Mechanics)
Languages : en
Pages : 183
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Book Description
Author: Y. Dodge
Publisher: Elsevier
ISBN: 1483296113
Category : Mathematics
Languages : en
Pages : 630
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Book Description
A wide range of topics and perspectives in the field of statistics are brought together in this volume. The contributions originate from invited papers presented at an international conference which was held in honour of C. Radhakrishna Rao, one of the most eminent statisticians of our time and a distinguished scientist.
Author: Adi Ben-Israel
Publisher: Springer Science & Business Media
ISBN: 0387216340
Category : Mathematics
Languages : en
Pages : 433
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Book Description
This second edition accounts for many major developments in generalized inverses while maintaining the informal and leisurely style of the 1974 first edition. Added material includes a chapter on applications, new exercises, and an appendix on the work of E.H. Moore.
Author: Gutti Jogesh Babu
Publisher: CRC Press
ISBN: 9780412983917
Category : Mathematics
Languages : en
Pages : 242
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Book Description
Modern astronomers encounter a vast range of challenging statistical problems, yet few are familiar with the wealth of techniques developed by statisticians. Conversely, few statisticians deal with the compelling problems confronted in astronomy. Astrostatistics bridges this gap. Authored by a statistician-astronomer team, it provides professionals and advanced students in both fields with exposure to issues of mutual interest. In the first half of the book the authors introduce statisticians to stellar, galactic, and cosmological astronomy and discuss the complex character of astronomical data. For astronomers, they introduce the statistical principles of nonparametrics, multivariate analysis, time series analysis, density estimation, and resampling methods. The second half of the book is organized by statistical topic. Each chapter contains examples of problems encountered astronomical research and highlights methodological issues. The final chapter explores some controversial issues in astronomy that have a strong statistical component. The authors provide an extensive bibliography and references to software for implementing statistical methods. The "marriage" of astronomy and statistics is a natural one and benefits both disciplines. Astronomers need the tools and methods of statistics to interpret the vast amount of data they generate, and the issues related to astronomical data pose intriguing challenges for statisticians. Astrostatistics paves the way to improved statistical analysis of astronomical data and provides a common ground for future collaboration between the two fields.
Author: Christopher T. H. Baker
Publisher: Oxford University Press, USA
ISBN:
Category : Language Arts & Disciplines
Languages : en
Pages : 392
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Book Description
Author: Dietrich Braess
Publisher: Springer Science & Business Media
ISBN: 3642616097
Category : Mathematics
Languages : en
Pages : 305
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Book Description
The first investigations of nonlinear approximation problems were made by P.L. Chebyshev in the last century, and the entire theory of uniform approxima tion is strongly connected with his name. By making use of his ideas, the theories of best uniform approximation by rational functions and by polynomials were developed over the years in an almost unified framework. The difference between linear and rational approximation and its implications first became apparent in the 1960's. At roughly the same time other approaches to nonlinear approximation were also developed. The use of new tools, such as nonlinear functional analysis and topological methods, showed that linearization is not sufficient for a complete treatment of nonlinear families. In particular, the application of global analysis and the consideration of flows on the family of approximating functions intro duced ideas which were previously unknown in approximation theory. These were and still are important in many branches of analysis. On the other hand, methods developed for nonlinear approximation prob lems can often be successfully applied to problems which belong to or arise from linear approximation. An important example is the solution of moment problems via rational approximation. Best quadrature formulae or the search for best linear spaces often leads to the consideration of spline functions with free nodes. The most famous problem of this kind, namely best interpolation by poly nomials, is treated in the appendix of this book.
