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Analysis and Linear Algebra: The Singular Value Decomposition and Applications, James Bisgard


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Автор: James Bisgard
Название:  Analysis and Linear Algebra: The Singular Value Decomposition and Applications
ISBN: 9781470463328
Издательство: Mare Nostrum (Eurospan)
Классификация:


ISBN-10: 1470463326
Обложка/Формат: Paperback
Страницы: 217
Вес: 0.29 кг.
Дата издания: 30.06.2021
Серия: Student mathematical library
Язык: English
Размер: 142 x 219 x 14
Ключевые слова: Algebra,Algebraic geometry,Calculus & mathematical analysis
Подзаголовок: The singular value decomposition and applications
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Поставляется из: Англии
Описание: This book provides an elementary analytically inclined journey to a fundamental result of linear algebra: the Singular Value Decomposition (SVD). SVD is a workhorse in many applications of linear algebra to data science. Four important applications relevant to data science are considered throughout the book: determining the subspace that best approximates a given set (dimension reduction of a data set); finding the best lower rank approximation of a given matrix (compression and general approximation problems); the Moore-Penrose pseudo-inverse (relevant to solving least squares problems); and the orthogonal Procrustes problem (finding the orthogonal transformation that most closely transforms a given collection to a given configuration), as well as its orientation-preserving version.The point of view throughout is analytic. Readers are assumed to have had a rigorous introduction to sequences and continuity. These are generalized and applied to linear algebraic ideas. Along the way to the SVD, several important results relevant to a wide variety of fields (including random matrices and spectral graph theory) are explored: the Spectral Theorem; minimax characterizations of eigenvalues; and eigenvalue inequalities. By combining analytic and linear algebraic ideas, readers see seemingly disparate areas interacting in beautiful and applicable ways.
Дополнительное описание: Algebra|Algebraic geometry|Calculus and mathematical analysis



Handbook of robust low-rank and sparse matrix decomposition

Название: Handbook of robust low-rank and sparse matrix decomposition
ISBN: 0367574780 ISBN-13(EAN): 9780367574789
Издательство: Taylor&Francis
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Цена: 6889.00 р.
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Описание: This handbook provides a complete overview of the concepts, theories, algorithms, and applications related to robust low-rank and sparse matrix decompositions. It offers a framework for computer vision applications, including image processing and video surveillance, and describes many methods and algorithms to tackle different formulation proble

Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition

Автор: Haruo Yanai; Kei Takeuchi; Yoshio Takane
Название: Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition
ISBN: 1461428599 ISBN-13(EAN): 9781461428596
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This valuable reference on projectors, generalized inverses, and SVD covers concepts numerous cutting-edge concepts and provides systematic and in-depth accounts of these ideas from the viewpoint of linear transformations of finite dimensional vector spaces.

Domain Decomposition Methods in Science and Engineering XXIV

Автор: Petter E. Bj?rstad; Susanne C. Brenner; Lawrence H
Название: Domain Decomposition Methods in Science and Engineering XXIV
ISBN: 331993872X ISBN-13(EAN): 9783319938721
Издательство: Springer
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Цена: 20962.00 р.
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Описание:

These are the proceedings of the 24th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in Svalbard, Norway in February 2017. Domain decomposition methods are iterative methods for solving the often very large systems of equations that arise when engineering problems are discretized, frequently using finite elements or other modern techniques. These methods are specifically designed to make effective use of massively parallel, high-performance computing systems.The book presents both theoretical and computational advances in this domain, reflecting the state of art in 2017.
Maximal Functions, Littlewood-Paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-Parameter Flag Setting

Автор: Brett Wick, Ji Li, Ming-Yi Lee, Yongsheng Han
Название: Maximal Functions, Littlewood-Paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-Parameter Flag Setting
ISBN: 1470453452 ISBN-13(EAN): 9781470453459
Издательство: Mare Nostrum (Eurospan)
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Цена: 10659.00 р.
Наличие на складе: Нет в наличии.

Описание: In this paper, we develop via real variable methods various characterisations of the Hardy spaces in the multi-parameter flag setting. These characterisations include those via, the non-tangential and radial maximal function, the Littlewood–Paley square function and area integral, Riesz transforms and the atomic decom-position in the multi-parameter flag setting. The novel ingredients in this paper include (1) establishing appropriate discrete Calder?on reproducing formulae in the flag setting and a version of the Plancherel–P?olya inequalities for flag quadratic forms; (2) introducing the maximal function and area function via flag Poisson kernels and flag version of harmonic functions; (3) developing an atomic decom-position via the finite speed propagation and area function in terms of flag heat semigroups. As a consequence of these real variable methods, we obtain the full characterisations of the multi-parameter Hardy space with the flag structure.

Numerical Homogenization by Localized Orthogonal Decomposition

Автор: Axel Malqvist, Daniel Peterseim
Название: Numerical Homogenization by Localized Orthogonal Decomposition
ISBN: 1611976448 ISBN-13(EAN): 9781611976441
Издательство: Mare Nostrum (Eurospan)
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Цена: 6145.00 р.
Наличие на складе: Нет в наличии.

Описание: This book presents the first survey of the Localized Orthogonal Decomposition (LOD) method, a pioneering approach for the numerical homogenization of partial differential equations with multiscale data beyond periodicity and scale separation. The authors provide a careful error analysis, including previously unpublished results, and a complete implementation of the method in MATLAB. They also reveal how the LOD method relates to classical homogenization and domain decomposition. Illustrated with numerical experiments that demonstrate the significance of the method, the book is enhanced by a survey of applications including eigenvalue problems and evolution problems.Numerical Homogenization by Localized Orthogonal Decomposition is appropriate for graduate students in applied mathematics, numerical analysis, and scientific computing. Researchers in the field of computational partial differential equations will find this self-contained book of interest, as will applied scientists and engineers interested in multiscale simulation.

Subgroup Decomposition in $\mathrm {Out}(F_n)$

Автор: Lee Mosher, Michael Handel
Название: Subgroup Decomposition in $\mathrm {Out}(F_n)$
ISBN: 1470441136 ISBN-13(EAN): 9781470441135
Издательство: Mare Nostrum (Eurospan)
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Цена: 10659.00 р.
Наличие на складе: Нет в наличии.

Описание: In this work the authors develop a decomposition theory for subgroups of $\mathsf{Out}(F_n)$ which generalizes the decomposition theory for individual elements of $\mathsf{Out}(F_n)$ found in the work of Bestvina, Feighn, and Handel, and which is analogous to the decomposition theory for subgroups of mapping class groups found in the work of Ivanov.

Decomposition of jacobians by prym varieties

Автор: Lange, Herbert Rodriguez, Rubi E.
Название: Decomposition of jacobians by prym varieties
ISBN: 3031101448 ISBN-13(EAN): 9783031101441
Издательство: Springer
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Цена: 9083.00 р.
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Описание: This monograph studies decompositions of the Jacobian of a smooth projective curve, induced by the action of a finite group, into a product of abelian subvarieties.

Decomposition and Dimension in Module Categories

Автор: Golan, Jonathan S.
Название: Decomposition and Dimension in Module Categories
ISBN: 0824766431 ISBN-13(EAN): 9780824766436
Издательство: Taylor&Francis
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Цена: 35218.00 р.
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Intelligent Planning

Автор: M. Pollack; Qiang Yang
Название: Intelligent Planning
ISBN: 3642644775 ISBN-13(EAN): 9783642644771
Издательство: Springer
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Цена: 11173.00 р.
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Описание: Indeed, the basic description of a plan generation algorithm has remained constant for nearly three decades: given a desciption of an initial state I, a goal state G, and a set of action types, find a sequence S of instantiated actions such that when S is executed instate I, G is guaranteed as a result.

Input-Output Analysis of Large-Scale Interconnected Systems

Автор: M. Vidyasagar
Название: Input-Output Analysis of Large-Scale Interconnected Systems
ISBN: 3540105018 ISBN-13(EAN): 9783540105015
Издательство: Springer
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Цена: 14365.00 р.
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Hodge Decomposition - A Method for Solving Boundary Value Problems

Автор: G?nter Schwarz
Название: Hodge Decomposition - A Method for Solving Boundary Value Problems
ISBN: 3540600167 ISBN-13(EAN): 9783540600169
Издательство: Springer
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Цена: 4890.00 р.
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Описание: Hodge theory is a standard theory in characterizing differential complexes and the topology of manifolds. This text is a study of the Hodge-Kodaira and related decompositions on manifolds with boundary under mainly analytic aspects.

Discretization Methods and Iterative Solvers Based on Domain Decomposition

Автор: Barbara I. Wohlmuth
Название: Discretization Methods and Iterative Solvers Based on Domain Decomposition
ISBN: 354041083X ISBN-13(EAN): 9783540410836
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Domain decomposition methods provide powerful and flexible tools for the numerical approximation of partial differential equations arising in the modeling of many interesting applications in science and engineering.


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