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Author :
Publisher :
ISBN 13 :
Total Pages : 932 pages
Book Rating : 4.:/5 (8 download)
Download or read book The Typographical Journal written by and published by . This book was released on 1928 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. W. Stewart
Publisher : SIAM
ISBN 13 : 0898715032
Total Pages : 489 pages
Book Rating : 4.8/5 (987 download)
Download or read book Matrix Algorithms written by G. W. Stewart and published by SIAM. This book was released on 2001-08-30 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume in a projected five-volume survey of numerical linear algebra and matrix algorithms. It treats the numerical solution of dense and large-scale eigenvalue problems with an emphasis on algorithms and the theoretical background required to understand them. The notes and reference sections contain pointers to other methods along with historical comments. The book is divided into two parts: dense eigenproblems and large eigenproblems. The first part gives a full treatment of the widely used QR algorithm, which is then applied to the solution of generalized eigenproblems and the computation of the singular value decomposition. The second part treats Krylov sequence methods such as the Lanczos and Arnoldi algorithms and presents a new treatment of the Jacobi-Davidson method. These volumes are not intended to be encyclopedic, but provide the reader with the theoretical and practical background to read the research literature and implement or modify new algorithms.
Author : Zhong-Zhi Bai
Publisher : SIAM
ISBN 13 : 1611976634
Total Pages : 496 pages
Book Rating : 4.6/5 (119 download)
Download or read book Matrix Analysis and Computations written by Zhong-Zhi Bai and published by SIAM. This book was released on 2021-09-09 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive book is presented in two parts; the first part introduces the basics of matrix analysis necessary for matrix computations, and the second part presents representative methods and the corresponding theories in matrix computations. Among the key features of the book are the extensive exercises at the end of each chapter. Matrix Analysis and Computations provides readers with the matrix theory necessary for matrix computations, especially for direct and iterative methods for solving systems of linear equations. It includes systematic methods and rigorous theory on matrix splitting iteration methods and Krylov subspace iteration methods, as well as current results on preconditioning and iterative methods for solving standard and generalized saddle-point linear systems. This book can be used as a textbook for graduate students as well as a self-study tool and reference for researchers and engineers interested in matrix analysis and matrix computations. It is appropriate for courses in numerical analysis, numerical optimization, data science, and approximation theory, among other topics
Author : Raf Vandebril
Publisher : JHU Press
ISBN 13 : 0801896800
Total Pages : 516 pages
Book Rating : 4.8/5 (18 download)
Download or read book Matrix Computations and Semiseparable Matrices written by Raf Vandebril and published by JHU Press. This book was released on 2008-12-15 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general properties and mathematical structures of semiseparable matrices were presented in volume 1 of Matrix Computations and Semiseparable Matrices. In volume 2, Raf Vandebril, Marc Van Barel, and Nicola Mastronardi discuss the theory of structured eigenvalue and singular value computations for semiseparable matrices. These matrices have hidden properties that allow the development of efficient methods and algorithms to accurately compute the matrix eigenvalues. This thorough analysis of semiseparable matrices explains their theoretical underpinnings and contains a wealth of information on implementing them in practice. Many of the routines featured are coded in Matlab and can be downloaded from the Web for further exploration.
Author :
Publisher :
ISBN 13 :
Total Pages : 1660 pages
Book Rating : 4.:/5 (318 download)
Download or read book Typographical Journal written by and published by . This book was released on 1928 with total page 1660 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mohammad Sal Moslehian
Publisher : Springer Nature
ISBN 13 : 3031253868
Total Pages : 763 pages
Book Rating : 4.0/5 (312 download)
Download or read book Matrix and Operator Equations and Applications written by Mohammad Sal Moslehian and published by Springer Nature. This book was released on 2023-07-29 with total page 763 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concerns matrix and operator equations that are widely applied in various disciplines of science to formulate challenging problems and solve them in a faithful way. The main aim of this contributed book is to study several important matrix and operator equalities and equations in a systematic and self-contained fashion. Some powerful methods have been used to investigate some significant equations in functional analysis, operator theory, matrix analysis, and numerous subjects in the last decades. The book is divided into two parts: (I) Matrix Equations and (II) Operator Equations. In the first part, the state-of-the-art of systems of matrix equations is given and generalized inverses are used to find their solutions. The semi-tensor product of matrices is used to solve quaternion matrix equations. The contents of some chapters are related to the relationship between matrix inequalities, matrix means, numerical range, and matrix equations. In addition, quaternion algebras and their applications are employed in solving some famous matrix equations like Sylvester, Stein, and Lyapunov equations. A chapter devoted to studying Hermitian polynomial matrix equations, which frequently arise from linear-quadratic control problems. Moreover, some classical and recently discovered inequalities for matrix exponentials are reviewed. In the second part, the latest developments in solving several equations appearing in modern operator theory are demonstrated. These are of interest to a wide audience of pure and applied mathematicians. For example, the Daugavet equation in the linear and nonlinear setting, iterative processes and Volterra-Fredholm integral equations, semicircular elements induced by connected finite graphs, free probability, singular integral operators with shifts, and operator differential equations closely related to the properties of the coefficient operators in some equations are discussed. The chapters give a comprehensive account of their subjects. The exhibited chapters are written in a reader-friendly style and can be read independently. Each chapter contains a rich bibliography. This book is intended for use by both researchers and graduate students of mathematics, physics, and engineering.
Author : Alan George
Publisher : Springer Science & Business Media
ISBN 13 : 1461383692
Total Pages : 254 pages
Book Rating : 4.4/5 (613 download)
Download or read book Graph Theory and Sparse Matrix Computation written by Alan George and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: When reality is modeled by computation, matrices are often the connection between the continuous physical world and the finite algorithmic one. Usually, the more detailed the model, the bigger the matrix, the better the answer, however, efficiency demands that every possible advantage be exploited. The articles in this volume are based on recent research on sparse matrix computations. This volume looks at graph theory as it connects to linear algebra, parallel computing, data structures, geometry, and both numerical and discrete algorithms. The articles are grouped into three general categories: graph models of symmetric matrices and factorizations, graph models of algorithms on nonsymmetric matrices, and parallel sparse matrix algorithms. This book will be a resource for the researcher or advanced student of either graphs or sparse matrices; it will be useful to mathematicians, numerical analysts and theoretical computer scientists alike.
Author :
Publisher :
ISBN 13 :
Total Pages : 622 pages
Book Rating : 4.3/5 (91 download)
Download or read book British Journal of Dental Science and Prosthetics written by and published by . This book was released on 1885 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P.K. Mallick
Publisher : CRC Press
ISBN 13 : 1351643991
Total Pages : 450 pages
Book Rating : 4.3/5 (516 download)
Download or read book Processing of Polymer Matrix Composites written by P.K. Mallick and published by CRC Press. This book was released on 2017-10-06 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polymer matrix composites are finding increasing number of applications due to their high weight-saving potential as well as unique characteristics, such as high strength-to-density ratio, fatigue resistance, high damping factor, and freedom from corrosion. While many textbooks are available on the mechanics of polymer matrix composites, few cover their processing. Processing of Polymer Matrix Composites fills this gap. The book focuses on the major manufacturing processes used for polymer matrix composites and describes process details, process parameters and their effects on properties and process-induced defects, and analytical and experimental methods used for understanding process conditions. The book describes fibers, thermosetting and thermoplastic polymers, and interface characteristics that are important from the standpoint of both design and processing. It also emphasizes the applications of process fundamentals for both continuous fiber and short fiber polymer matrix composites. In addition the book considers quality inspection methods, tooling, and manufacturing costs and environmental and safety issues.
Author : José Jorge Gil
Publisher : CRC Press
ISBN 13 : 1000568660
Total Pages : 517 pages
Book Rating : 4.0/5 (5 download)
Download or read book Polarized Light and the Mueller Matrix Approach written by José Jorge Gil and published by CRC Press. This book was released on 2022-06-19 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Up-to-Date Compendium on the Physics and Mathematics of Polarization Phenomena Now thoroughly revised, Polarized Light and the Mueller Matrix Approach cohesively integrates basic concepts of polarization phenomena from the dual viewpoints of the states of polarization of electromagnetic waves and the transformations of these states by the action of material media. Through selected examples, it also illustrates actual and potential applications in materials science, biology, and optics technology. The book begins with the basic concepts related to two- and three-dimensional polarization states. It next describes the nondepolarizing linear transformations of the states of polarization through the Jones and Mueller-Jones approaches. The authors then discuss the forms and properties of the Jones and Mueller matrices associated with different types of nondepolarizing media, address the foundations of the Mueller matrix, and delve more deeply into the analysis of the physical parameters associated with Mueller matrices. The authors proceed with introducing the arbitrary decomposition and other useful parallel decompositions, and compare the powerful serial decompositions of depolarizing Mueller matrices. They also analyze the general formalism and specific algebraic quantities and notions related to the concept of differential Mueller matrix. Useful approaches that provide a geometric point of view on the polarization effects exhibited by different types of media are also comprehensively described. The book concludes with a new chapter devoted to the main procedures for filtering measured Mueller matrices. Suitable for advanced graduates and more seasoned professionals, this book covers the main aspects of polarized radiation and polarization effects of material media. It expertly combines physical and mathematical concepts with important approaches for representing media through equivalent systems composed of simple components.
Author : W. Steven Johnson
Publisher : ASTM International
ISBN 13 : 0803120397
Total Pages : 625 pages
Book Rating : 4.8/5 (31 download)
Download or read book Life Prediction Methodology for Titanium Matrix Composites written by W. Steven Johnson and published by ASTM International. This book was released on 1996 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers presented at the March 1994 symposium are organized into five sections that progress from basic understanding of mechanical damage mechanisms and environmental effects to life prediction methodology. Five papers discuss the interplay between interfacial strength, residual thermal stresses, an
Author : Romain Couillet
Publisher : Cambridge University Press
ISBN 13 : 1139504967
Total Pages : 562 pages
Book Rating : 4.1/5 (395 download)
Download or read book Random Matrix Methods for Wireless Communications written by Romain Couillet and published by Cambridge University Press. This book was released on 2011-09-29 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Blending theoretical results with practical applications, this book provides an introduction to random matrix theory and shows how it can be used to tackle a variety of problems in wireless communications. The Stieltjes transform method, free probability theory, combinatoric approaches, deterministic equivalents and spectral analysis methods for statistical inference are all covered from a unique engineering perspective. Detailed mathematical derivations are presented throughout, with thorough explanation of the key results and all fundamental lemmas required for the reader to derive similar calculus on their own. These core theoretical concepts are then applied to a wide range of real-world problems in signal processing and wireless communications, including performance analysis of CDMA, MIMO and multi-cell networks, as well as signal detection and estimation in cognitive radio networks. The rigorous yet intuitive style helps demonstrate to students and researchers alike how to choose the correct approach for obtaining mathematically accurate results.
Author : Madhumangal Pal
Publisher : Springer Nature
ISBN 13 : 3031569369
Total Pages : 494 pages
Book Rating : 4.0/5 (315 download)
Download or read book Recent Developments of Fuzzy Matrix Theory and Applications written by Madhumangal Pal and published by Springer Nature. This book was released on with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Walter Krenkel
Publisher : John Wiley & Sons
ISBN 13 : 3527622403
Total Pages : 440 pages
Book Rating : 4.5/5 (276 download)
Download or read book Ceramic Matrix Composites written by Walter Krenkel and published by John Wiley & Sons. This book was released on 2008-09-08 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering an important material class for modern applications in the aerospace, automotive, energy production and creation sectors, this handbook and reference contains comprehensive data tables and field reports on successfully developed prototypes. The editor and authors are internationally renowned experts from NASA, EADS, DLR, Porsche, MT Aerospace, as well as universities and institutions in the USA, Europe and Japan, and they provide here a comprehensive overview of current R & D with an application-oriented emphasis.
Author : Philip Saltenberger
Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832549145
Total Pages : 191 pages
Book Rating : 4.8/5 (325 download)
Download or read book On different concepts for the linearization of matrix polynomials and canonical decompositions of structured matrices with respect to indefinite sesquilinear forms written by Philip Saltenberger and published by Logos Verlag Berlin GmbH. This book was released on 2019-05-30 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, a novel framework for the construction and analysis of strong linearizations for matrix polynomials is presented. Strong linearizations provide the standard means to transform polynomial eigenvalue problems into equivalent generalized eigenvalue problems while preserving the complete finite and infinite eigenstructure of the problem. After the transformation, the QZ algorithm or special methods appropriate for structured linearizations can be applied for finding the eigenvalues efficiently. The block Kronecker ansatz spaces proposed here establish an innovative and flexible approach for the construction of strong linearizations in the class of strong block minimal bases pencils. Moreover, they represent a new vector-space-setting for linearizations of matrix polynomials that additionally provides a common basis for various existing techniques on this task (such as Fiedler-linearizations). New insights on their relations, similarities and differences are revealed. The generalized eigenvalue problems obtained often allow for an efficient numerical solution. This is discussed with special attention to structured polynomial eigenvalue problems whose linearizations are structured as well. Structured generalized eigenvalue problems may also lead to equivalent structured (standard) eigenvalue problems. Thereby, the transformation produces matrices that can often be regarded as selfadjoint or skewadjoint with respect to some indefinite inner product. Based on this observation, normal matrices in indefinite inner product spaces and their spectral properties are studied and analyzed. Multiplicative and additive canonical decompositions respecting the matrix structure induced by the inner product are established.
Author : Simo Puntanen
Publisher : Springer Science & Business Media
ISBN 13 : 3642104738
Total Pages : 504 pages
Book Rating : 4.6/5 (421 download)
Download or read book Matrix Tricks for Linear Statistical Models written by Simo Puntanen and published by Springer Science & Business Media. This book was released on 2011-08-24 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: In teaching linear statistical models to first-year graduate students or to final-year undergraduate students there is no way to proceed smoothly without matrices and related concepts of linear algebra; their use is really essential. Our experience is that making some particular matrix tricks very familiar to students can substantially increase their insight into linear statistical models (and also multivariate statistical analysis). In matrix algebra, there are handy, sometimes even very simple “tricks” which simplify and clarify the treatment of a problem—both for the student and for the professor. Of course, the concept of a trick is not uniquely defined—by a trick we simply mean here a useful important handy result. In this book we collect together our Top Twenty favourite matrix tricks for linear statistical models.
Author : J. Paulo Davim
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110382016
Total Pages : 223 pages
Book Rating : 4.1/5 (13 download)
Download or read book Metal Matrix Composites written by J. Paulo Davim and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-10-24 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metal Matrix Composites (MMC's) have found an increased use in various industries due to their special mechanical and physical properties. They are a composite material with at least two constituent parts, one being a metal and are made by dispersing a reinforcing material into a metal matrix. The markets are: telecommunications, automotive, power semiconductor, opto-electronics, military and aerospace, heavy transportation, space systems and satellites, medical, and industrial lighting. Applications within these markets include microwave, micro-electronic packaging, laser diode, HB-LED’s, and advanced radar.
