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Matrix

Matrix [Pdf/ePub] eBook ISBN-10: 0698405137
Author: ,
Publisher: Penguin
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Matrix by , Book Resume:

Named a Most Anticipated Book of 2021 by Time, Entertainment Weekly, Buzzfeed, Elle, Harper’s Bazaar, Vulture, The Guardian, and more. One of our best American writers, Lauren Groff returns with her exhilarating first new novel since the groundbreaking Fates and Furies. Cast out of the royal court by Eleanor of Aquitaine, deemed too coarse and rough-hewn for marriage or courtly life, seventeen-year-old Marie de France is sent to England to be the new prioress of an impoverished abbey, its nuns on the brink of starvation and beset by disease. At first taken aback by the severity of her new life, Marie finds focus and love in collective life with her singular and mercurial sisters. In this crucible, Marie steadily supplants her desire for family, for her homeland, for the passions of her youth with something new to her: devotion to her sisters, and a conviction in her own divine visions. Marie, born the last in a long line of women warriors and crusaders, is determined to chart a bold new course for the women she now leads and protects. But in a world that is shifting and corroding in frightening ways, one that can never reconcile itself with her existence, will the sheer force of Marie’s vision be bulwark enough? Equally alive to the sacred and the profane, Matrix gathers currents of violence, sensuality, and religious ecstasy in a mesmerizing portrait of consuming passion, aberrant faith, and a woman that history moves both through and around. Lauren Groff’s new novel, her first since Fates and Furies, is a defiant and timely exploration of the raw power of female creativity in a corrupted world.

Matrix Analysis

Matrix Analysis [Pdf/ePub] eBook ISBN-10: 1461206537
Author: Rajendra Bhatia
Publisher: Springer Science & Business Media
File Size: 1832 KB
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Matrix Analysis by Rajendra Bhatia Book Resume:

This book presents a substantial part of matrix analysis that is functional analytic in spirit. Topics covered include the theory of majorization, variational principles for eigenvalues, operator monotone and convex functions, and perturbation of matrix functions and matrix inequalities. The book offers several powerful methods and techniques of wide applicability, and it discusses connections with other areas of mathematics.

Applied Linear Algebra and Matrix Analysis

Applied Linear Algebra and Matrix Analysis [Pdf/ePub] eBook ISBN-10: 0387489479
Author: Thomas S. Shores
Publisher: Springer Science & Business Media
File Size: 335 KB
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Read Count: 4194521

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Applied Linear Algebra and Matrix Analysis by Thomas S. Shores Book Resume:

This new book offers a fresh approach to matrix and linear algebra by providing a balanced blend of applications, theory, and computation, while highlighting their interdependence. Intended for a one-semester course, Applied Linear Algebra and Matrix Analysis places special emphasis on linear algebra as an experimental science, with numerous examples, computer exercises, and projects. While the flavor is heavily computational and experimental, the text is independent of specific hardware or software platforms. Throughout the book, significant motivating examples are woven into the text, and each section ends with a set of exercises.

The Matrix

The Matrix [Pdf/ePub] eBook ISBN-10: 1839022663
Author: Joshua Clover
Publisher: Bloomsbury Publishing
File Size: 1229 KB
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The Matrix by Joshua Clover Book Resume:

The Matrix (1999), directed by the Wachowski sisters and produced by Joel Silver, was a true end-of-the-millennium movie, a statement of the American zeitgeist, and, as the original film in a blockbusting franchise, a prognosis for the future of big-budget Hollywood film-making. Starring Keanu Reeves as Neo, a computer programmer transformed into a messianic freedom fighter, The Matrix blends science fiction with conspiracy thriller conventions and outlandish martial arts created with groundbreaking digital techniques. A box-office triumph, the film was no populist confection: its blatant allusions to highbrow contemporary philosophy added to its appeal as a mystery to be decoded. In this compelling study, Joshua Clover undertakes the task of decoding the film. Examining The Matrix's digital effects and how they were achieved, he shows how the film represents a melding of cinema and video games (the greatest commercial threat to have faced Hollywood since the advent of television) and achieves a hybrid kind of immersive entertainment. He also unpacks the movie's references to philosophy, showing how The Matrix ultimately expresses the crisis American culture faced at the end of the 1990s.

Gaia Matrix

Gaia Matrix [Pdf/ePub] eBook ISBN-10: 0967232805
Author: Peter William Champoux,William Stuart Buehler
Publisher: Gaia Matrix
File Size: 1594 KB
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Gaia Matrix by Peter William Champoux,William Stuart Buehler Book Resume:

Matrix Operations for Engineers and Scientists

Matrix Operations for Engineers and Scientists [Pdf/ePub] eBook ISBN-10: 9789048192748
Author: Alan Jeffrey
Publisher: Springer Science & Business Media
File Size: 1706 KB
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Read Count: 6550861

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Matrix Operations for Engineers and Scientists by Alan Jeffrey Book Resume:

Engineers and scientists need to have an introduction to the basics of linear algebra in a context they understand. Computer algebra systems make the manipulation of matrices and the determination of their properties a simple matter, and in practical applications such software is often essential. However, using this tool when learning about matrices, without first gaining a proper understanding of the underlying theory, limits the ability to use matrices and to apply them to new problems. This book explains matrices in the detail required by engineering or science students, and it discusses linear systems of ordinary differential equations. These students require a straightforward introduction to linear algebra illustrated by applications to which they can relate. It caters of the needs of undergraduate engineers in all disciplines, and provides considerable detail where it is likely to be helpful. According to the author the best way to understand the theory of matrices is by working simple exercises designed to emphasize the theory, that at the same time avoid distractions caused by unnecessary numerical calculations. Hence, examples and exercises in this book have been constructed in such a way that wherever calculations are necessary they are straightforward. For example, when a characteristic equation occurs, its roots (the eigenvalues of a matrix) can be found by inspection. The author of this book is Alan Jeffrey, Emeritus Professor of mathematics at the University of Newcastle upon Tyne. He has given courses on engineering mathematics at UK and US Universities.

Matrix Algorithms

Matrix Algorithms [Pdf/ePub] eBook ISBN-10: 9781611971408
Author: G. W. Stewart
Publisher: SIAM
File Size: 895 KB
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Read Count: 6714244

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Matrix Algorithms by G. W. Stewart Book Resume:

This volume is the first in a self-contained five-volume series devoted to matrix algorithms. It focuses on the computation of matrix decompositions--that is, the factorization of matrices into products of similar ones. The first two chapters provide the required background from mathematics and computer science needed to work effectively in matrix computations. The remaining chapters are devoted to the LU and QR decompositions--their computation and applications. The singular value decomposition is also treated, although algorithms for its computation will appear in the second volume of the series. The present volume contains 65 algorithms formally presented in pseudocode. Other volumes in the series will treat eigensystems, iterative methods, sparse matrices, and structured problems. The series is aimed at the nonspecialist who needs more than black-box proficiency with matrix computations. To give the series focus, the emphasis is on algorithms, their derivation, and their analysis. The reader is assumed to have a knowledge of elementary analysis and linear algebra and a reasonable amount of programming experience, typically that of the beginning graduate engineer or the undergraduate in an honors program. Strictly speaking, the individual volumes are not textbooks, although they are intended to teach, the guiding principle being that if something is worth explaining, it is worth explaining fully. This has necessarily restricted the scope of the series, but the selection of topics should give the reader a sound basis for further study.

Matrix Computations

Matrix Computations [Pdf/ePub] eBook ISBN-10: 1421408597
Author: Gene H. Golub,Charles F. Van Loan
Publisher: JHU Press
File Size: 1249 KB
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Read Count: 6335682

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Matrix Computations by Gene H. Golub,Charles F. Van Loan Book Resume:

The second most cited math book of 2012 according to MathSciNet, the book has placed in the top 10 for since 2005.

Post-Human Institutions and Organizations

Post-Human Institutions and Organizations [Pdf/ePub] eBook ISBN-10: 1351233459
Author: Ismael Al-Amoudi,Emmanuel Lazega
Publisher: Routledge
File Size: 577 KB
File Format: Pdf
Read Count: 255001

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Post-Human Institutions and Organizations by Ismael Al-Amoudi,Emmanuel Lazega Book Resume:

When the Matrix trilogy was published in the mid-1980s, it introduced to mass culture a number of post-human tropes about the conscious machines that have haunted our collective imaginaries ever since. This volume explores the social representations and significance of technological developments – especially AI and human enhancement – that have started to transform our human agency. It uses these developments to revisit theories of the human mind and its essential characteristics: a first-person perspective, concerns and reflexivity. It looks at how the smart machines are used as agents of change in the basic institutions and organisations that hold contemporary societies together, for example in the family and the household, in commercial corporations, in health institutions or in the military. Its main purpose is to enrich the ongoing public discussion of the social and political implications of the smart machines by looking at the extent to which they further digitalise and bureaucratise the world, in particular by asking whether they are used to develop techno-totalitarian societies that corrode normativity and solidarity.

Interface of Ceramic-Matrix Composites

Interface of Ceramic-Matrix Composites [Pdf/ePub] eBook ISBN-10: 3527828052
Author: Longbiao Li
Publisher: John Wiley & Sons
File Size: 1326 KB
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Read Count: 8515228

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Interface of Ceramic-Matrix Composites by Longbiao Li Book Resume:

The book "Interfaces of Ceramic-Matrix Composites" demonstrates the definition, function and type of the interface of ceramic-matrix composites and gives comprehensive investigations on the interface design, interface characterization, interface assessment, and interface damage law of both C/SiC and SiC/SiC ceramic-matrix composites subjected to tensile and fatigue loading at different testing conditions. Thereby, it helps material designers and engineers to better design ceramic-matrix composite components for applications.

Elementary Matrix Algebra

Elementary Matrix Algebra [Pdf/ePub] eBook ISBN-10: 0486143724
Author: Franz E. Hohn
Publisher: Courier Corporation
File Size: 856 KB
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Read Count: 2535823

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Elementary Matrix Algebra by Franz E. Hohn Book Resume:

This treatment starts with basics and progresses to sweepout process for obtaining complete solution of any given system of linear equations and role of matrix algebra in presentation of useful geometric ideas, techniques, and terminology.

Introduction to Matrix Analysis and Applications

Introduction to Matrix Analysis and Applications [Pdf/ePub] eBook ISBN-10: 3319041509
Author: Fumio Hiai,Dénes Petz
Publisher: Springer Science & Business Media
File Size: 691 KB
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Read Count: 1030187

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Introduction to Matrix Analysis and Applications by Fumio Hiai,Dénes Petz Book Resume:

Matrices can be studied in different ways. They are a linear algebraic structure and have a topological/analytical aspect (for example, the normed space of matrices) and they also carry an order structure that is induced by positive semidefinite matrices. The interplay of these closely related structures is an essential feature of matrix analysis. This book explains these aspects of matrix analysis from a functional analysis point of view. After an introduction to matrices and functional analysis, it covers more advanced topics such as matrix monotone functions, matrix means, majorization and entropies. Several applications to quantum information are also included. Introduction to Matrix Analysis and Applications is appropriate for an advanced graduate course on matrix analysis, particularly aimed at studying quantum information. It can also be used as a reference for researchers in quantum information, statistics, engineering and economics.

Fuzzy Matrix

Fuzzy Matrix [Pdf/ePub] eBook ISBN-10:
Author: A. R. Meenakshi
Publisher: MJP Publisher
File Size: 1957 KB
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Read Count: 5633077

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Fuzzy Matrix by A. R. Meenakshi Book Resume:

This book aims to introduce fuzzy matrix theory as a basic framework for characterizing the full scope of the fuzzy sets concept and its relationship with the increasingly important concept of information and complexity in various sciences and professions. The book provides a wide coverage on the theoretical developments of fuzzy matrices and fuzzy vector spaces, on the theory of generalized inverses for fuzzy matrices, on fuzzy relations and on partial orderings on fuzzy matrices. The book also discusses the role of fuzzy matrices in the spectral theory of linear transformations on finite dimensional vector spaces. The concept of fuzzy matrix and its applications in document retrieval system, medical diagnosis, database management system, decision making theory and dynamical systems are developediteratively and illustrated with suitable examples wherever necessary. Each chapter has brief notes and exercises for the benefit of students.

Parallelism in Matrix Computations

Parallelism in Matrix Computations [Pdf/ePub] eBook ISBN-10: 940177188X
Author: Efstratios Gallopoulos,Bernard Philippe,Ahmed H. Sameh
Publisher: Springer
File Size: 997 KB
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Read Count: 2534567

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Parallelism in Matrix Computations by Efstratios Gallopoulos,Bernard Philippe,Ahmed H. Sameh Book Resume:

This book is primarily intended as a research monograph that could also be used in graduate courses for the design of parallel algorithms in matrix computations. It assumes general but not extensive knowledge of numerical linear algebra, parallel architectures, and parallel programming paradigms. The book consists of four parts: (I) Basics; (II) Dense and Special Matrix Computations; (III) Sparse Matrix Computations; and (IV) Matrix functions and characteristics. Part I deals with parallel programming paradigms and fundamental kernels, including reordering schemes for sparse matrices. Part II is devoted to dense matrix computations such as parallel algorithms for solving linear systems, linear least squares, the symmetric algebraic eigenvalue problem, and the singular-value decomposition. It also deals with the development of parallel algorithms for special linear systems such as banded ,Vandermonde ,Toeplitz ,and block Toeplitz systems. Part III addresses sparse matrix computations: (a) the development of parallel iterative linear system solvers with emphasis on scalable preconditioners, (b) parallel schemes for obtaining a few of the extreme eigenpairs or those contained in a given interval in the spectrum of a standard or generalized symmetric eigenvalue problem, and (c) parallel methods for computing a few of the extreme singular triplets. Part IV focuses on the development of parallel algorithms for matrix functions and special characteristics such as the matrix pseudospectrum and the determinant. The book also reviews the theoretical and practical background necessary when designing these algorithms and includes an extensive bibliography that will be useful to researchers and students alike. The book brings together many existing algorithms for the fundamental matrix computations that have a proven track record of efficient implementation in terms of data locality and data transfer on state-of-the-art systems, as well as several algorithms that are presented for the first time, focusing on the opportunities for parallelism and algorithm robustness.

Matrix and Tensor Factorization Techniques for Recommender Systems

Matrix and Tensor Factorization Techniques for Recommender Systems [Pdf/ePub] eBook ISBN-10: 3319413570
Author: Panagiotis Symeonidis,Andreas Zioupos
Publisher: Springer
File Size: 1214 KB
File Format: Pdf
Read Count: 1385474

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Matrix and Tensor Factorization Techniques for Recommender Systems by Panagiotis Symeonidis,Andreas Zioupos Book Resume:

This book presents the algorithms used to provide recommendations by exploiting matrix factorization and tensor decomposition techniques. It highlights well-known decomposition methods for recommender systems, such as Singular Value Decomposition (SVD), UV-decomposition, Non-negative Matrix Factorization (NMF), etc. and describes in detail the pros and cons of each method for matrices and tensors. This book provides a detailed theoretical mathematical background of matrix/tensor factorization techniques and a step-by-step analysis of each method on the basis of an integrated toy example that runs throughout all its chapters and helps the reader to understand the key differences among methods. It also contains two chapters, where different matrix and tensor methods are compared experimentally on real data sets, such as Epinions, GeoSocialRec, Last.fm, BibSonomy, etc. and provides further insights into the advantages and disadvantages of each method. The book offers a rich blend of theory and practice, making it suitable for students, researchers and practitioners interested in both recommenders and factorization methods. Lecturers can also use it for classes on data mining, recommender systems and dimensionality reduction methods.

Basics of Matrix Algebra for Statistics with R

Basics of Matrix Algebra for Statistics with R [Pdf/ePub] eBook ISBN-10: 149871238X
Author: Nick Fieller
Publisher: CRC Press
File Size: 1343 KB
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Read Count: 7297134

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Basics of Matrix Algebra for Statistics with R by Nick Fieller Book Resume:

A Thorough Guide to Elementary Matrix Algebra and Implementation in R Basics of Matrix Algebra for Statistics with R provides a guide to elementary matrix algebra sufficient for undertaking specialized courses, such as multivariate data analysis and linear models. It also covers advanced topics, such as generalized inverses of singular and rectangular matrices and manipulation of partitioned matrices, for those who want to delve deeper into the subject. The book introduces the definition of a matrix and the basic rules of addition, subtraction, multiplication, and inversion. Later topics include determinants, calculation of eigenvectors and eigenvalues, and differentiation of linear and quadratic forms with respect to vectors. The text explores how these concepts arise in statistical techniques, including principal component analysis, canonical correlation analysis, and linear modeling. In addition to the algebraic manipulation of matrices, the book presents numerical examples that illustrate how to perform calculations by hand and using R. Many theoretical and numerical exercises of varying levels of difficulty aid readers in assessing their knowledge of the material. Outline solutions at the back of the book enable readers to verify the techniques required and obtain numerical answers. Avoiding vector spaces and other advanced mathematics, this book shows how to manipulate matrices and perform numerical calculations in R. It prepares readers for higher-level and specialized studies in statistics.

Matrix Analysis for Statistics

Matrix Analysis for Statistics [Pdf/ePub] eBook ISBN-10: 1119092469
Author: James R. Schott
Publisher: John Wiley & Sons
File Size: 723 KB
File Format: Pdf
Read Count: 6032961

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Matrix Analysis for Statistics by James R. Schott Book Resume:

An up-to-date version of the complete, self-contained introduction to matrix analysis theory and practice Providing accessible and in-depth coverage of the most common matrix methods now used in statistical applications, Matrix Analysis for Statistics, Third Edition features an easy-to-follow theorem/proof format. Featuring smooth transitions between topical coverage, the author carefully justifies the step-by-step process of the most common matrix methods now used in statistical applications, including eigenvalues and eigenvectors; the Moore-Penrose inverse; matrix differentiation; and the distribution of quadratic forms. An ideal introduction to matrix analysis theory and practice, Matrix Analysis for Statistics, Third Edition features: • New chapter or section coverage on inequalities, oblique projections, and antieigenvalues and antieigenvectors • Additional problems and chapter-end practice exercises at the end of each chapter • Extensive examples that are familiar and easy to understand • Self-contained chapters for flexibility in topic choice • Applications of matrix methods in least squares regression and the analyses of mean vectors and covariance matrices Matrix Analysis for Statistics, Third Edition is an ideal textbook for upper-undergraduate and graduate-level courses on matrix methods, multivariate analysis, and linear models. The book is also an excellent reference for research professionals in applied statistics. James R. Schott, PhD, is Professor in the Department of Statistics at the University of Central Florida. He has published numerous journal articles in the area of multivariate analysis. Dr. Schott’s research interests include multivariate analysis, analysis of covariance and correlation matrices, and dimensionality reduction techniques.

Computation of Generalized Matrix Inverses and Applications

Computation of Generalized Matrix Inverses and Applications [Pdf/ePub] eBook ISBN-10: 1351630067
Author: Ivan Stanimirović
Publisher: CRC Press
File Size: 453 KB
File Format: Pdf
Read Count: 2581700

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Computation of Generalized Matrix Inverses and Applications by Ivan Stanimirović Book Resume:

This 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.

Ultrastructure of the Connective Tissue Matrix

Ultrastructure of the Connective Tissue Matrix [Pdf/ePub] eBook ISBN-10: 1461328314
Author: P. Motta,A. Ruggeri
Publisher: Springer Science & Business Media
File Size: 1849 KB
File Format: Pdf
Read Count: 3324589

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Ultrastructure of the Connective Tissue Matrix by P. Motta,A. Ruggeri Book Resume:

In recent years, the techniques of electron microscopy have developed so widely and rapidly that they now cover the fields of research once the unique ll:panage of sister research techniques such as biochemistry, physiology, immunology, X-ray diffraction, etc. It is now possible to reach molecular and submolecular levels, making this technique indispensable in every type of research. Electron microscopy alone often provides enough information to solve given problems. In the field of the connective tissue matrix, knowledge of the molecular structure of collagen, pro teoglycans and elastin and their interaction has been to a large extent elucidated by electron microscopy. The field over which electron microscopy ranges in the investigation of the connective tissue matrix is so wide that the aim of this volume is to collect the main ultrastructural acquisitions disseminated in various journals and monographs in one book. The intent ofthis volume is to: (a) integrate different and new microscopic methods and review the results of such an integrative approach; (b) present a comprehensive ultrastructural account of selected aspects of the field; (c) point out gaps or controversial topics in our knowledge; (d) outline pertinent future research and expansion of the subject.

Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs

Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs [Pdf/ePub] eBook ISBN-10: 1439863393
Author: Jason J. Molitierno
Publisher: CRC Press
File Size: 446 KB
File Format: Pdf
Read Count: 8552892

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Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs by Jason J. Molitierno Book Resume:

On the surface, matrix theory and graph theory seem like very different branches of mathematics. However, adjacency, Laplacian, and incidence matrices are commonly used to represent graphs, and many properties of matrices can give us useful information about the structure of graphs.Applications of Combinatorial Matrix Theory to Laplacian Matrices o