Solving Ill Conditioned Problems By Minimizing Equation Error Classic Reprint

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Solving Ill-Conditioned Problems by Minimizing Equation Error (Classic Reprint)

Author : Robert A. Hummel
Publisher : Forgotten Books
ISBN 13 : 9780267671496
Total Pages : 24 pages
Book Rating : 4.6/5 (714 download)

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Book Synopsis Solving Ill-Conditioned Problems by Minimizing Equation Error (Classic Reprint) by : Robert A. Hummel

Download or read book Solving Ill-Conditioned Problems by Minimizing Equation Error (Classic Reprint) written by Robert A. Hummel and published by Forgotten Books. This book was released on 2018-02-03 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Solving Ill-Conditioned Problems by Minimizing Equation Error By adding extra data points in this way, it turns out that the equations for the gradient of the Equation Error can be applied precisely as Stated before, applicable to all pixels except the added points, without additional terms. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Solving Ill-conditioned Problems by Minimizing Equation Error

Author : Robert A. Hummel
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (115 download)

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Book Synopsis Solving Ill-conditioned Problems by Minimizing Equation Error by : Robert A. Hummel

Download or read book Solving Ill-conditioned Problems by Minimizing Equation Error written by Robert A. Hummel and published by . This book was released on 1986 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solving Ill-conditioned Problems by Minimzing Equation Error

Author : Robert A. Hummel
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (11 download)

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Book Synopsis Solving Ill-conditioned Problems by Minimzing Equation Error by : Robert A. Hummel

Download or read book Solving Ill-conditioned Problems by Minimzing Equation Error written by Robert A. Hummel and published by . This book was released on 1986 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Numerical Solution of Elliptic Equations

Author : Garrett Birkhoff
Publisher : SIAM
ISBN 13 : 9780898710014
Total Pages : 100 pages
Book Rating : 4.7/5 (1 download)

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Book Synopsis The Numerical Solution of Elliptic Equations by : Garrett Birkhoff

Download or read book The Numerical Solution of Elliptic Equations written by Garrett Birkhoff and published by SIAM. This book was released on 1971-01-01 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise survey of the current state of knowledge in 1972 about solving elliptic boundary-value eigenvalue problems with the help of a computer. This volume provides a case study in scientific computing?the art of utilizing physical intuition, mathematical theorems and algorithms, and modern computer technology to construct and explore realistic models of problems arising in the natural sciences and engineering.

Linear and Nonlinear Optimization

Author : Igor Griva
Publisher : SIAM
ISBN 13 : 0898717736
Total Pages : 743 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Linear and Nonlinear Optimization by : Igor Griva

Download or read book Linear and Nonlinear Optimization written by Igor Griva and published by SIAM. This book was released on 2009-01-01 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an introduction to the applications, theory, and algorithms of linear and nonlinear optimization. The emphasis is on practical aspects - discussing modern algorithms, as well as the influence of theory on the interpretation of solutions or on the design of software. The book includes several examples of realistic optimization models that address important applications. The succinct style of this second edition is punctuated with numerous real-life examples and exercises, and the authors include accessible explanations of topics that are not often mentioned in textbooks, such as duality in nonlinear optimization, primal-dual methods for nonlinear optimization, filter methods, and applications such as support-vector machines. The book is designed to be flexible. It has a modular structure, and uses consistent notation and terminology throughout. It can be used in many different ways, in many different courses, and at many different levels of sophistication.

Solving Least Squares Problems

Author : Charles L. Lawson
Publisher : SIAM
ISBN 13 : 0898713560
Total Pages : 348 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Solving Least Squares Problems by : Charles L. Lawson

Download or read book Solving Least Squares Problems written by Charles L. Lawson and published by SIAM. This book was released on 1995-12-01 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Classic edition includes a new appendix which summarizes the major developments since the book was originally published in 1974. The additions are organized in short sections associated with each chapter. An additional 230 references have been added, bringing the bibliography to over 400 entries. Appendix C has been edited to reflect changes in the associated software package and software distribution method.

Numerical Algorithms

Author : Justin Solomon
Publisher : CRC Press
ISBN 13 : 1482251892
Total Pages : 400 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Numerical Algorithms by : Justin Solomon

Download or read book Numerical Algorithms written by Justin Solomon and published by CRC Press. This book was released on 2015-06-24 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic desig

Estimating the Error of Numerical Solutions of Systems of Reaction-Diffusion Equations

Author : Donald J. Estep
Publisher : American Mathematical Soc.
ISBN 13 : 0821820729
Total Pages : 125 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Estimating the Error of Numerical Solutions of Systems of Reaction-Diffusion Equations by : Donald J. Estep

Download or read book Estimating the Error of Numerical Solutions of Systems of Reaction-Diffusion Equations written by Donald J. Estep and published by American Mathematical Soc.. This book was released on 2000 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper is concerned with the computational estimation of the error of numerical solutions of potentially degenerate reaction-diffusion equations. The underlying motivation is a desire to compute accurate estimates as opposed to deriving inaccurate analytic upper bounds. In this paper, we outline, analyze, and test an approach to obtain computational error estimates based on the introduction of the residual error of the numerical solution and in which the effects of the accumulation of errors are estimated computationally. We begin by deriving an a posteriori relationship between the error of a numerical solution and its residual error using a variational argument. This leads to the introduction of stability factors, which measure the sensitivity of solutions to various kinds of perturbations. Next, we perform some general analysis on the residual errors and stability factors to determine when they are defined and to bound their size. Then we describe the practical use of the theory to estimate the errors of numerical solutions computationally. Several key issues arise in the implementation that remain unresolved and we present partial results and numerical experiments about these points. We use this approach to estimate the error of numerical solutions of nine standard reaction-diffusion models and make a systematic comparison of the time scale over which accurate numerical solutions can be computed for these problems. We also perform a numerical test of the accuracy and reliability of the computational error estimate using the bistable equation. Finally, we apply the general theory to the class of problems that admit invariant regions for the solutions, which includes seven of the main examples. Under this additional stability assumption, we obtain a convergence result in the form of an upper bound on the error from the a posteriori error estimate. We conclude by discussing the preservation of invariant regions under discretization.

Adaptive Methods for Partial Differential Equations

Author : Ivo Babushka
Publisher : SIAM
ISBN 13 : 9780898712421
Total Pages : 382 pages
Book Rating : 4.7/5 (124 download)

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Book Synopsis Adaptive Methods for Partial Differential Equations by : Ivo Babushka

Download or read book Adaptive Methods for Partial Differential Equations written by Ivo Babushka and published by SIAM. This book was released on 1989-01-01 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Proceedings of the Workshop on Adaptive Computational Methods for Partial Differential Equations, Rensselaer Polytechnic Institute, October 13-15, 1988"--T.p. verso.

Selected Papers from the 2018 41st International Conference on Telecommunications and Signal Processing (TSP)

Author : Norbert Herencsar
Publisher : MDPI
ISBN 13 : 3039210408
Total Pages : 194 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Selected Papers from the 2018 41st International Conference on Telecommunications and Signal Processing (TSP) by : Norbert Herencsar

Download or read book Selected Papers from the 2018 41st International Conference on Telecommunications and Signal Processing (TSP) written by Norbert Herencsar and published by MDPI. This book was released on 2019-07-01 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Special Issue contains a series of excellent research works on telecommunications and signal processing, selected from the 2018 41st International Conference on Telecommunications and Signal Processing (TSP) which was held on July 4–6, 2018, in Athens, Greece. The conference was organized in cooperation with the IEEE Region 8 (Europe, Middle East, and Africa), IEEE Greece Section, IEEE Czechoslovakia Section, and IEEE Czechoslovakia Section SP/CAS/COM Joint Chapter by seventeen universities from the Czech Republic, Hungary, Turkey, Taiwan, Japan, Slovak Republic, Spain, Bulgaria, France, Slovenia, Croatia, and Poland, for academics, researchers, and developers, and serves as a premier international forum for the annual exchange and promotion of the latest advances in telecommunication technology and signal processing. The aim of the conference is to bring together both novice and experienced scientists, developers, and specialists, to meet new colleagues, collect new ideas, and establish new cooperation between research groups from universities, research centers, and private sectors worldwide. This collection of 10 papers is highly recommended for researchers, and believed to be interesting, inspiring, and motivating for readers in their further research.

Numerical Methods and Applications

Author : Todor Boyanov
Publisher : Springer Science & Business Media
ISBN 13 : 3540709401
Total Pages : 741 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Numerical Methods and Applications by : Todor Boyanov

Download or read book Numerical Methods and Applications written by Todor Boyanov and published by Springer Science & Business Media. This book was released on 2007-02-20 with total page 741 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 6th International Conference on Numerical Methods and Applications, NMA 2006, held in Borovets, Bulgaria, in August 2006. The 84 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 111 submissions. The papers are organized in topical sections on numerical methods for hyperbolic problems, robust preconditioning solution methods, Monte Carlo and quasi-Monte Carlo for diverse applications, metaheuristics for optimization problems, uncertain/control systems and reliable numerics, interpolation and quadrature processes, large-scale computations in environmental modelling, and contributed talks.

Introduction to Applied Linear Algebra

Author : Stephen Boyd
Publisher : Cambridge University Press
ISBN 13 : 1316518965
Total Pages : 477 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Introduction to Applied Linear Algebra by : Stephen Boyd

Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd and published by Cambridge University Press. This book was released on 2018-06-07 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

World Congress on Medical Physics and Biomedical Engineering September 7 - 12, 2009 Munich, Germany

Author : Olaf Dössel
Publisher : Springer Science & Business Media
ISBN 13 : 3642038794
Total Pages : 976 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis World Congress on Medical Physics and Biomedical Engineering September 7 - 12, 2009 Munich, Germany by : Olaf Dössel

Download or read book World Congress on Medical Physics and Biomedical Engineering September 7 - 12, 2009 Munich, Germany written by Olaf Dössel and published by Springer Science & Business Media. This book was released on 2010-01-04 with total page 976 pages. Available in PDF, EPUB and Kindle. Book excerpt: Present Your Research to the World! The World Congress 2009 on Medical Physics and Biomedical Engineering – the triennial scientific meeting of the IUPESM - is the world’s leading forum for presenting the results of current scientific work in health-related physics and technologies to an international audience. With more than 2,800 presentations it will be the biggest conference in the fields of Medical Physics and Biomedical Engineering in 2009! Medical physics, biomedical engineering and bioengineering have been driving forces of innovation and progress in medicine and healthcare over the past two decades. As new key technologies arise with significant potential to open new options in diagnostics and therapeutics, it is a multidisciplinary task to evaluate their benefit for medicine and healthcare with respect to the quality of performance and therapeutic output. Covering key aspects such as information and communication technologies, micro- and nanosystems, optics and biotechnology, the congress will serve as an inter- and multidisciplinary platform that brings together people from basic research, R&D, industry and medical application to discuss these issues. As a major event for science, medicine and technology the congress provides a comprehensive overview and in–depth, first-hand information on new developments, advanced technologies and current and future applications. With this Final Program we would like to give you an overview of the dimension of the congress and invite you to join us in Munich! Olaf Dössel Congress President Wolfgang C.

Scattering, Two-Volume Set

Author : E. R. Pike
Publisher : Academic Press
ISBN 13 : 0126137609
Total Pages : 985 pages
Book Rating : 4.1/5 (261 download)

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Book Synopsis Scattering, Two-Volume Set by : E. R. Pike

Download or read book Scattering, Two-Volume Set written by E. R. Pike and published by Academic Press. This book was released on 2002 with total page 985 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part 1: SCATTERING OF WAVES BY MACROSCOPIC TARGET -- Interdisciplinary aspects of wave scattering -- Acoustic scattering -- Acoustic scattering: approximate methods -- Electromagnetic wave scattering: theory -- Electromagnetic wave scattering: approximate and numerical methods -- Electromagnetic wave scattering: applications -- Elastodynamic wave scattering: theory -- Elastodynamic wave scattering: Applications -- Scattering in Oceans -- Part 2: SCATTERING IN MICROSCOPIC PHYSICS AND CHEMICAL PHYSICS -- Introduction to direct potential scattering -- Introduction to Inverse Potential Scattering -- Visible and Near-visible Light Scattering -- Practical Aspects of Visible and Near-visible Light Scattering -- Nonlinear Light Scattering -- Atomic and Molecular Scattering: Introduction to Scattering in Chemical -- X-ray Scattering -- Neutron Scattering -- Electron Diffraction and Scattering -- Part 3: SCATTERING IN NUCLEAR PHYSICS -- Nuclear Physics -- Part 4: PARTICLE SCATTERING -- State of the Art of Peturbative Methods -- Scattering Through Electro-weak Interactions (the Fermi Scale) -- Scattering Through Strong Interactions (the Hadronic or QCD Scale) -- Part 5: SCATTERING AT EXTREME PHYSICAL SCALES -- Scattering at Extreme Physical Scales -- Part 6: SCATTERING IN MATHEMATICS AND NON-PHYSICAL SCIENCES -- Relations with Other Mathematical Theories -- Inverse Scattering Transform and Non-linear Partial Differenttial Equations -- Scattering of Mathematical Objects.

Accuracy and Stability of Numerical Algorithms

Author : Nicholas J. Higham
Publisher : SIAM
ISBN 13 : 9780898718027
Total Pages : 710 pages
Book Rating : 4.7/5 (18 download)

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Book Synopsis Accuracy and Stability of Numerical Algorithms by : Nicholas J. Higham

Download or read book Accuracy and Stability of Numerical Algorithms written by Nicholas J. Higham and published by SIAM. This book was released on 2002-01-01 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures.

Parameter Estimation and Inverse Problems

Author : Richard C. Aster
Publisher : Academic Press
ISBN 13 : 0120656043
Total Pages : 316 pages
Book Rating : 4.1/5 (26 download)

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Book Synopsis Parameter Estimation and Inverse Problems by : Richard C. Aster

Download or read book Parameter Estimation and Inverse Problems written by Richard C. Aster and published by Academic Press. This book was released on 2005-01-11 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preface -- 1. Introduction -- 2. Linear Regression -- 3. Discretizing Continuous Inverse Problems -- 4. Rank Deficiency and Ill-Conditioning -- 5. Tikhonov Regularization -- 6. Iterative Methods -- 7. Other Regularization Techniques -- 8. Fourier Techniques -- 9. Nonlinear Regression -- 10. Nonlinear Inverse Problems -- 11. Bayesian Methods -- Appendix A: Review of Linear Algebra -- Appendix B: Review of Probability and Statistics -- Appendix C: Glossary of Notation -- Bibliography -- IndexLinear Regression -- Discretizing Continuous Inverse Problems -- Rank Deficiency and Ill-Conditioning -- Tikhonov Regularization -- Iterative Methods -- Other Regularization Techniques -- Fourier Techniques -- Nonlinear Regression -- Nonlinear Inverse Problems -- Bayesian Methods.

Fundamentals and Linear Algebra for the Chemical Engineer

Author : Guido Buzzi-Ferraris
Publisher : John Wiley & Sons
ISBN 13 : 3527325522
Total Pages : 377 pages
Book Rating : 4.5/5 (273 download)

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Book Synopsis Fundamentals and Linear Algebra for the Chemical Engineer by : Guido Buzzi-Ferraris

Download or read book Fundamentals and Linear Algebra for the Chemical Engineer written by Guido Buzzi-Ferraris and published by John Wiley & Sons. This book was released on 2010-04-26 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical engineer's companion to using numerical methods for the solution of complex mathematical problems. It thus enables readers to use and implement standard numerical tools in their work, explaining the theory behind the various functions and problem solvers, while showcasing applications in diverse scientific and engineering fields. The material is based on several tried-and-tested courses for scientists and engineers taught by the authors, and all the exercises and problems are classroom-tested. The required software is freeware developed and maintained by the authors, included on the accompanying CD-ROM, together with an installation tutorial, all the examples and sample codes described in the book, as well as a host of additional examples.