Inverse Linear Problems On A Hilbert Space And Their Krylov Solvability
DOWNLOAD
Download Inverse Linear Problems On A Hilbert Space And Their Krylov Solvability PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Inverse Linear Problems On A Hilbert Space And Their Krylov Solvability book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Inverse Linear Problems On A Hilbert Space And Their Krylov Solvability
DOWNLOAD
Author : Noè Angelo Caruso
language : en
Publisher:
Release Date : 2021
Inverse Linear Problems On A Hilbert Space And Their Krylov Solvability written by Noè Angelo Caruso and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Electronic books categories.
This book presents a thorough discussion of the theory of abstract inverse linear problems on Hilbert space. Given an unknown vector f in a Hilbert space H, a linear operator A acting on H, and a vector g in H satisfying Af=g, one is interested in approximating f by finite linear combinations of g, Ag, A2g, A3g, The closed subspace generated by the latter vectors is called the Krylov subspace of H generated by g and A. The possibility of solving this inverse problem by means of projection methods on the Krylov subspace is the main focus of this text. After giving a broad introduction to the subject, examples and counterexamples of Krylov-solvable and non-solvable inverse problems are provided, together with results on uniqueness of solutions, classes of operators inducing Krylov-solvable inverse problems, and the behaviour of Krylov subspaces under small perturbations. An appendix collects material on weaker convergence phenomena in general projection methods. This subject of this book lies at the boundary of functional analysis/operator theory and numerical analysis/approximation theory and will be of interest to graduate students and researchers in any of these fields.
Inverse Linear Problems On Hilbert Space And Their Krylov Solvability
DOWNLOAD
Author : Noè Angelo Caruso
language : en
Publisher: Springer Nature
Release Date : 2022-02-10
Inverse Linear Problems On Hilbert Space And Their Krylov Solvability written by Noè Angelo Caruso and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-10 with Mathematics categories.
This book presents a thorough discussion of the theory of abstract inverse linear problems on Hilbert space. Given an unknown vector f in a Hilbert space H, a linear operator A acting on H, and a vector g in H satisfying Af=g, one is interested in approximating f by finite linear combinations of g, Ag, A2g, A3g, ... The closed subspace generated by the latter vectors is called the Krylov subspace of H generated by g and A. The possibility of solving this inverse problem by means of projection methods on the Krylov subspace is the main focus of this text. After giving a broad introduction to the subject, examples and counterexamples of Krylov-solvable and non-solvable inverse problems are provided, together with results on uniqueness of solutions, classes of operators inducing Krylov-solvable inverse problems, and the behaviour of Krylov subspaces under small perturbations. An appendix collects material on weaker convergence phenomena in general projection methods. This subject of this book lies at the boundary of functional analysis/operator theory and numerical analysis/approximation theory and will be of interest to graduate students and researchers in any of these fields.
Singularities Asymptotics And Limiting Models
DOWNLOAD
Author : Biagio Cassano
language : en
Publisher: Springer Nature
Release Date :
Singularities Asymptotics And Limiting Models written by Biagio Cassano and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Mathematical Reviews
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 2008
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Linear Integral Equations
DOWNLOAD
Author : Raimer Kress
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-03-26
Linear Integral Equations written by Raimer Kress and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-03-26 with Mathematics categories.
The result of the author's fascination with the mathematical beauty of integral equations, this book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers alike, the author has made it as self-contained as possible, requiring only a solid foundation in differential and integral calculus. The functional analysis which is necessary for an adequate treatment of the theory and the numerical solution of integral equations is developed within the book itself. Problems are included at the end of each chapter.
Hierarchical Matrices Algorithms And Analysis
DOWNLOAD
Author : Wolfgang Hackbusch
language : en
Publisher: Springer
Release Date : 2015-12-21
Hierarchical Matrices Algorithms And Analysis written by Wolfgang Hackbusch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-21 with Mathematics categories.
This self-contained monograph presents matrix algorithms and their analysis. The new technique enables not only the solution of linear systems but also the approximation of matrix functions, e.g., the matrix exponential. Other applications include the solution of matrix equations, e.g., the Lyapunov or Riccati equation. The required mathematical background can be found in the appendix. The numerical treatment of fully populated large-scale matrices is usually rather costly. However, the technique of hierarchical matrices makes it possible to store matrices and to perform matrix operations approximately with almost linear cost and a controllable degree of approximation error. For important classes of matrices, the computational cost increases only logarithmically with the approximation error. The operations provided include the matrix inversion and LU decomposition. Since large-scale linear algebra problems are standard in scientific computing, the subject of hierarchical matrices is of interest to scientists in computational mathematics, physics, chemistry and engineering.
Riemann Hilbert Problems Their Numerical Solution And The Computation Of Nonlinear Special Functions
DOWNLOAD
Author : Thomas Trogdon
language : en
Publisher: SIAM
Release Date : 2015-12-22
Riemann Hilbert Problems Their Numerical Solution And The Computation Of Nonlinear Special Functions written by Thomas Trogdon and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-22 with Mathematics categories.
Riemann?Hilbert problems are fundamental objects of study within complex analysis. Many problems in differential equations and integrable systems, probability and random matrix theory, and asymptotic analysis can be solved by reformulation as a Riemann?Hilbert problem.This book, the most comprehensive one to date on the applied and computational theory of Riemann?Hilbert problems, includes an introduction to computational complex analysis, an introduction to the applied theory of Riemann?Hilbert problems from an analytical and numerical perspective, and a discussion of applications to integrable systems, differential equations, and special function theory. It also includes six fundamental examples and five more sophisticated examples of the analytical and numerical Riemann?Hilbert method, each of mathematical or physical significance or both.?
Encyclopedia Of Ukraine L Pf
DOWNLOAD
Author : Volodimir Mihajlovič Kubìjovič
language : en
Publisher:
Release Date : 1984
Encyclopedia Of Ukraine L Pf written by Volodimir Mihajlovič Kubìjovič and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Ukraine categories.
Transport Properties And Potential Energy Models For Monatomic Gases
DOWNLOAD
Author : Hui Li
language : en
Publisher: Oxford University Press
Release Date : 2024-02-20
Transport Properties And Potential Energy Models For Monatomic Gases written by Hui Li and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-20 with Science categories.
The first two chapters of this book are an update and outgrowth of the monograph Nonequilibrium Phenomena in Polyatomic Gases published by OUP in 1990, and a response to considerable improvements in the experimental determination of the transport properties of dilute gases that have taken place during the past 30 years. The experimental determination has improved sufficiently that it has become necessary to carry out calculations at the level of the second Chapman-Cowling approximation in order to give computed results that lie within the current experimental uncertainties now being reported. Chapter 3 is devoted to realistic interatomic potential energy functions, and begins with a discussion of the need for more accurate representations of these functions. Direct inversion of both microscopic data (spectroscopic transition frequencies and atomic beam scattering) and bulk property data (pressure and acoustic second virial coefficients, transport properties) are discussed in detail. The quantum chemical ab initio determination of binary atomic interaction energies and their analytical representation are discussed, followed by a detailed considerations of the interaction energies between pairs of noble gas atoms. Chapter 4 is concerned with connections between theory and experiment, including a detailed discussion of pure noble gases and their binary mixtures. Chapter 5 focuses on how to obtain the spectroscopic and thermophysical properties of a specific molecular system theoretically step by step, and provides a reference for the specific theoretical calculation work.
Reviews In Numerical Analysis 1980 86
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1987
Reviews In Numerical Analysis 1980 86 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Numerical analysis categories.
These five volumes bring together a wealth of bibliographic information in the area of numerical analysis. Containing over 17,600 reviews of articles, books, and conference proceedings, these volumes represent all the numerical analysis entries that appeared in Mathematical Reviews between 1980 and 1986. Author and key indexes appear at the end of volume 5.