Approximate Regularized Solutions to Linear Operator Equations when the Data-vector is Not in the Range of the Operator PDF Download
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Author: M. Zuhair Nashed
Publisher:
ISBN:
Category : Linear operators
Languages : en
Pages : 37
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Book Description
The paper addresses itself to the problem of approximate pseudo solutions of the linear operator equation Af = g, when g is not necessarily in the range of the operator A. (Modified author abstract).
Author: M. Zuhair Nashed
Publisher:
ISBN:
Category : Linear operators
Languages : en
Pages : 37
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Book Description
The paper addresses itself to the problem of approximate pseudo solutions of the linear operator equation Af = g, when g is not necessarily in the range of the operator A. (Modified author abstract).
Author: D.L. Colton
Publisher: Springer
ISBN: 3540373020
Category : Mathematics
Languages : en
Pages : 488
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Book Description
Author: C. W. Groetsch
Publisher: Pitman Advanced Publishing Program
ISBN:
Category : Mathematics
Languages : en
Pages : 124
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Book Description
Author: Willi Freeden
Publisher: Birkhäuser
ISBN: 3319571818
Category : Mathematics
Languages : en
Pages : 932
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Book Description
Written by leading experts, this book provides a clear and comprehensive survey of the “status quo” of the interrelating process and cross-fertilization of structures and methods in mathematical geodesy. Starting with a foundation of functional analysis, potential theory, constructive approximation, special function theory, and inverse problems, readers are subsequently introduced to today’s least squares approximation, spherical harmonics reflected spline and wavelet concepts, boundary value problems, Runge-Walsh framework, geodetic observables, geoidal modeling, ill-posed problems and regularizations, inverse gravimetry, and satellite gravity gradiometry. All chapters are self-contained and can be studied individually, making the book an ideal resource for both graduate students and active researchers who want to acquaint themselves with the mathematical aspects of modern geodesy.
Author: Vitalij P. Tanana
Publisher: VSP
ISBN: 9789067642378
Category : Mathematics
Languages : en
Pages : 236
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Book Description
The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
Author: Mathematics Research Center (United States. Army)
Publisher:
ISBN:
Category : Applied mathematics
Languages : en
Pages : 392
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 750
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Book Description
Author: Grace Wahba
Publisher:
ISBN:
Category :
Languages : en
Pages : 21
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Book Description
Author: Adrian Doicu
Publisher: Springer Science & Business Media
ISBN: 3642054390
Category : Science
Languages : en
Pages : 432
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Book Description
The retrieval problems arising in atmospheric remote sensing belong to the class of the - called discrete ill-posed problems. These problems are unstable under data perturbations, and can be solved by numerical regularization methods, in which the solution is stabilized by taking additional information into account. The goal of this research monograph is to present and analyze numerical algorithms for atmospheric retrieval. The book is aimed at physicists and engineers with some ba- ground in numerical linear algebra and matrix computations. Although there are many practical details in this book, for a robust and ef?cient implementation of all numerical algorithms, the reader should consult the literature cited. The data model adopted in our analysis is semi-stochastic. From a practical point of view, there are no signi?cant differences between a semi-stochastic and a determin- tic framework; the differences are relevant from a theoretical point of view, e.g., in the convergence and convergence rates analysis. After an introductory chapter providing the state of the art in passive atmospheric remote sensing, Chapter 2 introduces the concept of ill-posedness for linear discrete eq- tions. To illustrate the dif?culties associated with the solution of discrete ill-posed pr- lems, we consider the temperature retrieval by nadir sounding and analyze the solvability of the discrete equation by using the singular value decomposition of the forward model matrix.
Author:
Publisher: Springer-Verlag
ISBN: 3322930343
Category : Technology & Engineering
Languages : de
Pages : 199
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Book Description
