Modifying A Rank Revealing Ullv Decomposition

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Modifying A Rank Revealing Ullv Decomposition

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Author : James Michael Lebak
language : en
Publisher:
Release Date : 1994

Modifying A Rank Revealing Ullv Decomposition written by James Michael Lebak and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Matrices categories.

Proceedings Of The Fifth Siam Conference On Applied Linear Algebra

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Author : John Gregg Lewis
language : en
Publisher: SIAM
Release Date : 1994-01-01

Proceedings Of The Fifth Siam Conference On Applied Linear Algebra written by John Gregg Lewis and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Mathematics categories.

Rank Deficient And Discrete Ill Posed Problems

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Author : Per Christian Hansen
language : en
Publisher: SIAM
Release Date : 2005-01-01

Rank Deficient And Discrete Ill Posed Problems written by Per Christian Hansen and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-01 with Mathematics categories.

Here is an overview of modern computational stabilization methods for linear inversion, with applications to a variety of problems in audio processing, medical imaging, tomography, seismology, astronomy, and other areas. Rank-deficient problems involve matrices that are either exactly or nearly rank deficient. Such problems often arise in connection with noise suppression and other problems where the goal is to suppress unwanted disturbances of the given measurements. Discrete ill-posed problems arise in connection with the numerical treatment of inverse problems, where one typically wants to compute information about some interior properties using exterior measurements. Examples of inverse problems are image restoration and tomography, where one needs to improve blurred images or reconstruct pictures from raw data. This book describes, in a common framework, new and existing numerical methods for the analysis and solution of rank-deficient and discrete ill-posed problems. The emphasis is on insight into the stabilizing properties of the algorithms and on the efficiency and reliability of the computations. The setting is that of numerical linear algebra rather than abstract functional analysis, and the theoretical development is complemented with numerical examples and figures that illustrate the features of the various algorithms.

Geometric Structure Of High Dimensional Data And Dimensionality Reduction

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Author : Jianzhong Wang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-28

Geometric Structure Of High Dimensional Data And Dimensionality Reduction written by Jianzhong Wang 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 2012-04-28 with Computers categories.

"Geometric Structure of High-Dimensional Data and Dimensionality Reduction" adopts data geometry as a framework to address various methods of dimensionality reduction. In addition to the introduction to well-known linear methods, the book moreover stresses the recently developed nonlinear methods and introduces the applications of dimensionality reduction in many areas, such as face recognition, image segmentation, data classification, data visualization, and hyperspectral imagery data analysis. Numerous tables and graphs are included to illustrate the ideas, effects, and shortcomings of the methods. MATLAB code of all dimensionality reduction algorithms is provided to aid the readers with the implementations on computers. The book will be useful for mathematicians, statisticians, computer scientists, and data analysts. It is also a valuable handbook for other practitioners who have a basic background in mathematics, statistics and/or computer algorithms, like internet search engine designers, physicists, geologists, electronic engineers, and economists. Jianzhong Wang is a Professor of Mathematics at Sam Houston State University, U.S.A.

Total Least Squares And Errors In Variables Modeling

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Author : S. van Huffel
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Total Least Squares And Errors In Variables Modeling written by S. van Huffel 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 2013-03-14 with Mathematics categories.

In response to a growing interest in Total Least Squares (TLS) and Errors-In-Variables (EIV) modeling by researchers and practitioners, well-known experts from several disciplines were invited to prepare an overview paper and present it at the third international workshop on TLS and EIV modeling held in Leuven, Belgium, August 27-29, 2001. These invited papers, representing two-thirds of the book, together with a selection of other presented contributions yield a complete overview of the main scientific achievements since 1996 in TLS and Errors-In-Variables modeling. In this way, the book nicely completes two earlier books on TLS (SIAM 1991 and 1997). Not only computational issues, but also statistical, numerical, algebraic properties are described, as well as many new generalizations and applications. Being aware of the growing interest in these techniques, it is a strong belief that this book will aid and stimulate users to apply the new techniques and models correctly to their own practical problems.

Complete Orthogonal Decomposition For Weighted Least Squares

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Author : Patricia D. Hough
language : en
Publisher:
Release Date : 1994

Complete Orthogonal Decomposition For Weighted Least Squares written by Patricia D. Hough and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Least squares categories.

Recent Advances In Total Least Squares Techniques And Errors In Variables Modeling

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Author : Sabine van Huffel
language : en
Publisher: SIAM
Release Date : 1997-01-01

Recent Advances In Total Least Squares Techniques And Errors In Variables Modeling written by Sabine van Huffel and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with Mathematics categories.

An overview of the computational issues; statistical, numerical, and algebraic properties, and new generalizations and applications of advances on TLS and EIV models. Experts from several disciplines prepared overview papers which were presented at the conference and are included in this book.

Eigenmodes Of Isospectral Drums

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Author : Tobin A. Driscoll
language : en
Publisher:
Release Date : 1995

Eigenmodes Of Isospectral Drums written by Tobin A. Driscoll and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Eigenvalues categories.

Matrix Computations

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Author : Gene Howard Golub
language : en
Publisher: JHU Press
Release Date : 2013-02-15

Matrix Computations written by Gene Howard Golub and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-15 with Mathematics categories.

This revised edition provides the mathematical background and algorithmic skills required for the production of numerical software. It includes rewritten and clarified proofs and derivations, as well as new topics such as Arnoldi iteration, and domain decomposition methods.

Svd And Signal Processing Iii

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Author : M. Moonen
language : en
Publisher: Elsevier
Release Date : 1995-03-16

Svd And Signal Processing Iii written by M. Moonen and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-03-16 with Technology & Engineering categories.

Matrix Singular Value Decomposition (SVD) and its application to problems in signal processing is explored in this book. The papers discuss algorithms and implementation architectures for computing the SVD, as well as a variety of applications such as systems and signal modeling and detection.The publication presents a number of keynote papers, highlighting recent developments in the field, namely large scale SVD applications, isospectral matrix flows, Riemannian SVD and consistent signal reconstruction. It also features a translation of a historical paper by Eugenio Beltrami, containing one of the earliest published discussions of the SVD.With contributions sourced from internationally recognised scientists, the book will be of specific interest to all researchers and students involved in the SVD and signal processing field.