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Author: Curtis R. Vogel
Publisher: SIAM
Published: 2002-01-01
Total Pages: 195
ISBN-13: 0898717574
DOWNLOAD EBOOKProvides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.
Author: Albert Tarantola
Publisher: SIAM
Published: 2005-01-01
Total Pages: 349
ISBN-13: 9780898717921
DOWNLOAD EBOOKWhile the prediction of observations is a forward problem, the use of actual observations to infer the properties of a model is an inverse problem. Inverse problems are difficult because they may not have a unique solution. The description of uncertainties plays a central role in the theory, which is based on probability theory. This book proposes a general approach that is valid for linear as well as for nonlinear problems. The philosophy is essentially probabilistic and allows the reader to understand the basic difficulties appearing in the resolution of inverse problems. The book attempts to explain how a method of acquisition of information can be applied to actual real-world problems, and many of the arguments are heuristic.
Author: Richard C. Aster
Publisher: Elsevier
Published: 2018-10-16
Total Pages: 406
ISBN-13: 0128134232
DOWNLOAD EBOOKParameter Estimation and Inverse Problems, Third Edition, is structured around a course at New Mexico Tech and is designed to be accessible to typical graduate students in the physical sciences who do not have an extensive mathematical background. The book is complemented by a companion website that includes MATLAB codes that correspond to examples that are illustrated with simple, easy to follow problems that illuminate the details of particular numerical methods. Updates to the new edition include more discussions of Laplacian smoothing, an expansion of basis function exercises, the addition of stochastic descent, an improved presentation of Fourier methods and exercises, and more. - Features examples that are illustrated with simple, easy to follow problems that illuminate the details of a particular numerical method - Includes an online instructor's guide that helps professors teach and customize exercises and select homework problems - Covers updated information on adjoint methods that are presented in an accessible manner
Author: Martin Hanke
Publisher: SIAM
Published: 2017-01-01
Total Pages: 171
ISBN-13: 1611974941
DOWNLOAD EBOOKInverse problems need to be solved in order to properly interpret indirect measurements. Often, inverse problems are ill-posed and sensitive to data errors. Therefore one has to incorporate some sort of regularization to reconstruct significant information from the given data. This book presents the main achievements that have emerged in regularization theory over the past 50 years, focusing on linear ill-posed problems and the development of methods that can be applied to them. Some of this material has previously appeared only in journal articles. A Taste of Inverse Problems: Basic Theory and Examples rigorously discusses state-of-the-art inverse problems theory, focusing on numerically relevant aspects and omitting subordinate generalizations;presents diverse real-world applications, important test cases, and possible pitfalls; and treats these applications with the same rigor and depth as the theory.
Author: Ivan Stanimirović
Publisher: CRC Press
Published: 2017-12-14
Total Pages: 280
ISBN-13: 1351630067
DOWNLOAD EBOOKThis volume offers a gradual exposition to matrix theory as a subject of linear algebra. It presents both the theoretical results in generalized matrix inverses and the applications. The book is as self-contained as possible, assuming no prior knowledge of matrix theory and linear algebra. The book first addresses the basic definitions and concepts of an arbitrary generalized matrix inverse with special reference to the calculation of {i,j,...,k} inverse and the Moore–Penrose inverse. Then, the results of LDL* decomposition of the full rank polynomial matrix are introduced, along with numerical examples. Methods for calculating the Moore–Penrose’s inverse of rational matrix are presented, which are based on LDL* and QDR decompositions of the matrix. A method for calculating the A(2)T;S inverse using LDL* decomposition using methods is derived as well as the symbolic calculation of A(2)T;S inverses using QDR factorization. The text then offers several ways on how the introduced theoretical concepts can be applied in restoring blurred images and linear regression methods, along with the well-known application in linear systems. The book also explains how the computation of generalized inverses of matrices with constant values is performed. It covers several methods, such as methods based on full-rank factorization, Leverrier–Faddeev method, method of Zhukovski, and variations of the partitioning method.
Author: Yimin Wei
Publisher: World Scientific
Published: 2018-07-18
Total Pages: 470
ISBN-13: 9813238682
DOWNLOAD EBOOKWe introduce new methods connecting numerics and symbolic computations, i.e., both the direct and iterative methods as well as the symbolic method for computing the generalized inverses. These will be useful for Engineers and Statisticians, in addition to applied mathematicians.Also, main applications of generalized inverses will be presented. Symbolic method covered in our book but not discussed in other book, which is important for numerical-symbolic computations.
Author: Francisco Duarte Moura Neto
Publisher: Springer Science & Business Media
Published: 2012-09-14
Total Pages: 255
ISBN-13: 3642325564
DOWNLOAD EBOOKComputational engineering/science uses a blend of applications, mathematical models and computations. Mathematical models require accurate approximations of their parameters, which are often viewed as solutions to inverse problems. Thus, the study of inverse problems is an integral part of computational engineering/science. This book presents several aspects of inverse problems along with needed prerequisite topics in numerical analysis and matrix algebra. If the reader has previously studied these prerequisites, then one can rapidly move to the inverse problems in chapters 4-8 on image restoration, thermal radiation, thermal characterization and heat transfer. “This text does provide a comprehensive introduction to inverse problems and fills a void in the literature”. Robert E White, Professor of Mathematics, North Carolina State University
Author: Frank J. Fabozzi
Publisher: John Wiley & Sons
Published: 2001-07-02
Total Pages: 190
ISBN-13: 9781883249960
DOWNLOAD EBOOKReal Estate-Backed Securities provides today's most concise yet comprehensive understanding of passive real estate investing. Issues discussed include agency passthrough securities and mortgage strips, agency collateralized mortgage obligations, nonagency residential MBS, commercial mortgage-backed securities, and more.
Author: Juan M. Gers
Publisher: IET
Published: 2004
Total Pages: 357
ISBN-13: 0863415377
DOWNLOAD EBOOKWritten by two practicing electrical engineers, this second edition of the bestselling Protection of Electricity Distribution Networks offers both practical and theoretical coverage of the technologies, from the classical electromechanical relays to the new numerical types, which protect equipment on networks and in electrical plants. A properly coordinated protection system is vital to ensure that an electricity distribution network can operate within preset requirements for safety for individual items of equipment, staff and public, and the network overall. Suitable and reliable equipment should be installed on all circuits and electrical equipment and to do this, protective relays are used to initiate the isolation of faulted sections of a network in order to maintain supplies elsewhere on the system. This then leads to an improved electricity service with better continuity and quality of supply.
Author: Bastien D. Gomperts
Publisher: Academic Press
Published: 2009-09-22
Total Pages: 839
ISBN-13: 0080919057
DOWNLOAD EBOOKSignal Transduction, 2e, is a thorough, well-illustrated study in cellular signaling processes. Beginning with the basics, this book shows how cells respond to external cues, hormones, growth factors, cytokines, cell surfaces, etc., and further instructs how these inputs are integrated. Instruction continues with up-to-date, inclusive coverage of intracellular calcium, nuclear receptors, tyrosine protein kinases and adaptive immunity, and targeting transduction pathways for research and medical intervention. Signal Transduction, 2e, serves as an invaluable resource for advanced undergraduates, graduate researchers, and established scientists working in cell biology, pharmacology, immunology, and related fields. Up-to-date, inclusive coverage of targeting transduction pathways for research and medical intervention In-depth coverage of nuclear receptors, including steps in isolation of steroid hormones and the discovery of intracellular hormone receptors; tyrosine protein kinases and adaptive immunity; and intracellular calcium Extensive conceptual color artwork to assist with comprehension of key topics Instrumental margin notes highlight milestones in signaling mechanisms
