Matrix Methods

Matrix Methods
Author: Richard Bronson
Publsiher: Gulf Professional Publishing
Total Pages: 503
Release: 1991
ISBN 10: 9780121352516
ISBN 13: 012135251X
Language: EN, FR, DE, ES & NL

Matrix Methods Book Review:

This new edition of Matrix Methods emphasizes applications to Jordan-canonical forms, differential equations, and least squares. The revision now includes an entire new chapter on inner products, additional material on elementary row applications, and hundreds of new exercises. * Provides an introduction to the functional approach to programming * Emphasizes the problem to be solved, not the programming language * Takes the view that all computer programs are a definition of a function * Includes exercises for each chapter * Requires at least a high school algebra level of mathematical sophistication * A self-contained work * Can be used as a pre-programming language introduction to the mathematics of computing

Matrix Methods in Analysis

Matrix Methods in Analysis
Author: Piotr Antosik,Charles Swartz
Publsiher: Springer Verlag
Total Pages: 114
Release: 1985-02
ISBN 10: 1928374650XXX
ISBN 13: STANFORD:36105032139466
Language: EN, FR, DE, ES & NL

Matrix Methods in Analysis Book Review:

Matrix Methods

Matrix Methods
Author: Richard Bronson,Gabriel B. Costa
Publsiher: Academic Press
Total Pages: 512
Release: 2020-02-05
ISBN 10: 0128184205
ISBN 13: 9780128184202
Language: EN, FR, DE, ES & NL

Matrix Methods Book Review:

Matrix Methods: Applied Linear Algebra and Sabermetrics, Fourth Edition, provides a unique and comprehensive balance between the theory and computation of matrices. Rapid changes in technology have made this valuable overview on the application of matrices relevant not just to mathematicians, but to a broad range of other fields. Matrix methods, the essence of linear algebra, can be used to help physical scientists-- chemists, physicists, engineers, statisticians, and economists-- solve real world problems. Provides early coverage of applications like Markov chains, graph theory and Leontief Models Contains accessible content that requires only a firm understanding of algebra Includes dedicated chapters on Linear Programming and Markov Chains

MATRIX METHODS OF STRUCTURAL ANALYSIS

MATRIX METHODS OF STRUCTURAL ANALYSIS
Author: C. NATARAJAN,P. REVATHI
Publsiher: PHI Learning Pvt. Ltd.
Total Pages: 352
Release: 2014-01-20
ISBN 10: 8120349008
ISBN 13: 9788120349001
Language: EN, FR, DE, ES & NL

MATRIX METHODS OF STRUCTURAL ANALYSIS Book Review:

Designed as a textbook for the undergraduate students of civil engineering and postgraduate students of structural engineering, this comprehensive book presents the fundamental aspects of matrix analysis of structures. The basic features of Matrix Structural Analysis along with its intricacies in application to actual problems backed up by numerical examples, form the main objective of writing this book. The text begins with the chapters on basics of matrices and structural systems. After providing the foundation for matrix structural representation, the text moves onto dimensional and behavioral aspects of structural systems to classify into pin-jointed systems, then onto beams and finally three-dimensional rigid jointed systems. The text concludes with a chapter on special techniques in using matrices for structural analysis. Besides, MATLAB codes are given at the end to illustrate interfacing with standard computing tool. A large number of numerical examples are given in each chapter which will reinforce the understanding of the subject matter.

Matrix Methods for Optical Layout

Matrix Methods for Optical Layout
Author: Gerhard Kloos
Publsiher: SPIE Press
Total Pages: 121
Release: 2007
ISBN 10: 9780819467805
ISBN 13: 0819467804
Language: EN, FR, DE, ES & NL

Matrix Methods for Optical Layout Book Review:

This book is intended to familiarize the reader with the method of Gaussian matrices and some related tools of optical design. The matrix method provides a means to study an optical system in the paraxial approximation. This text contains new results such as theorems on the design of variable optics, on integrating rods, on the optical layout of prism devices, etc. The results are derived in a step-by-step way so that the reader might apply the methods presented here to resolve design problems with ease.

Matrix Methods of Structural Analysis

Matrix Methods of Structural Analysis
Author: Praveen Nagarajan
Publsiher: CRC Press
Total Pages: 353
Release: 2018-09-03
ISBN 10: 1351210300
ISBN 13: 9781351210300
Language: EN, FR, DE, ES & NL

Matrix Methods of Structural Analysis Book Review:

This book deals with matrix methods of structural analysis for linearly elastic framed structures. It starts with background of matrix analysis of structures followed by procedure to develop force-displacement relation for a given structure using flexibility and stiffness coefficients. The remaining text deals with the analysis of framed structures using flexibility, stiffness and direct stiffness methods. Simple programs using MATLAB for the analysis of structures are included in the appendix. Key Features Explores matrix methods of structural analysis for linearly elastic framed structures Introduces key concepts in the development of stiffness and flexibility matrices Discusses concepts like action and redundant coordinates (in flexibility method) and active and restrained coordinates (in stiffness method) Helps reader understand the background behind the structural analysis programs Contains solved examples and MATLAB codes

Matrix Methods in Analysis

Matrix Methods in Analysis
Author: Piotr Antosik,Charles Swartz
Publsiher: Springer
Total Pages: 118
Release: 2006-11-14
ISBN 10: 3540392661
ISBN 13: 9783540392668
Language: EN, FR, DE, ES & NL

Matrix Methods in Analysis Book Review:

Array Design by Matrix Methods

Array Design by Matrix Methods
Author: Bradley J. Strait
Publsiher: Unknown
Total Pages: 13
Release: 1968
ISBN 10: 1928374650XXX
ISBN 13: UOM:39015095131655
Language: EN, FR, DE, ES & NL

Array Design by Matrix Methods Book Review:

In this report a new method is presented for designing arrays of parallel wire antennas. The method relates a desired pattern directly with required feed voltages such that mutual coupling is taken into account in the design procedure. The technique uses matrix methods together with results of the 'Method of Moments' to determine the self and mutual impedances and the required excitations. The design method can be applied to circular, elliptical, and other planar arrays, although attention is restricted here to linear arrays. The feed points and the array geometry must be specified. An example is included. (Author).

Matrix Methods And Fractional Calculus

Matrix Methods And Fractional Calculus
Author: Mathai Arak M,Haubold Hans J
Publsiher: World Scientific
Total Pages: 292
Release: 2017-11-10
ISBN 10: 9813227540
ISBN 13: 9789813227545
Language: EN, FR, DE, ES & NL

Matrix Methods And Fractional Calculus Book Review:

Fractional calculus in terms of mathematics and statistics and its applications to problems in natural sciences is NOT yet part of university teaching curricula. This book is one attempt to provide an approach to include topics of fractional calculus into university curricula. Additionally the material is useful for people who do research work in the areas of special functions, fractional calculus, applications of fractional calculus, and mathematical statistics. Contents: PrefaceList of SymbolsVector/Matrix Derivatives and OptimizationJacobians of Matrix Transformations and Functions of Matrix ArgumentFractional Calculus and Special FunctionsFractional Calculus and Fractional Differential EquationsKober Fractional Calculus and Matrix-Variate FunctionsLie Theory and Special FunctionsSelected Topics in Multivariate Analysis Readership: Graduate students and researchers in all aspects of fractional calculus and its applications. Keywords: Vector/Matrix Derivatives;Optimization;Jacobians of Matrix Transformations;Multivariate Analysis;Functions of Matrix Argument;Fractional Calculus;Special Functions;Lie Theory;Fractional Differential Equations;Kober Fractional Calculus;Matrix-Variate FunctionsReview:0

Matrix Methods in Data Mining and Pattern Recognition

Matrix Methods in Data Mining and Pattern Recognition
Author: Lars Elden
Publsiher: SIAM
Total Pages: 224
Release: 2007-07-12
ISBN 10: 0898716268
ISBN 13: 9780898716269
Language: EN, FR, DE, ES & NL

Matrix Methods in Data Mining and Pattern Recognition Book Review:

Several very powerful numerical linear algebra techniques are available for solving problems in data mining and pattern recognition. This application-oriented book describes how modern matrix methods can be used to solve these problems, gives an introduction to matrix theory and decompositions, and provides students with a set of tools that can be modified for a particular application.Matrix Methods in Data Mining and Pattern Recognition is divided into three parts. Part I gives a short introduction to a few application areas before presenting linear algebra concepts and matrix decompositions that students can use in problem-solving environments such as MATLAB®. Some mathematical proofs that emphasize the existence and properties of the matrix decompositions are included. In Part II, linear algebra techniques are applied to data mining problems. Part III is a brief introduction to eigenvalue and singular value algorithms. The applications discussed by the author are: classification of handwritten digits, text mining, text summarization, pagerank computations related to the GoogleÔ search engine, and face recognition. Exercises and computer assignments are available on a Web page that supplements the book.Audience The book is intended for undergraduate students who have previously taken an introductory scientific computing/numerical analysis course. Graduate students in various data mining and pattern recognition areas who need an introduction to linear algebra techniques will also find the book useful.Contents Preface; Part I: Linear Algebra Concepts and Matrix Decompositions. Chapter 1: Vectors and Matrices in Data Mining and Pattern Recognition; Chapter 2: Vectors and Matrices; Chapter 3: Linear Systems and Least Squares; Chapter 4: Orthogonality; Chapter 5: QR Decomposition; Chapter 6: Singular Value Decomposition; Chapter 7: Reduced-Rank Least Squares Models; Chapter 8: Tensor Decomposition; Chapter 9: Clustering and Nonnegative Matrix Factorization; Part II: Data Mining Applications. Chapter 10: Classification of Handwritten Digits; Chapter 11: Text Mining; Chapter 12: Page Ranking for a Web Search Engine; Chapter 13: Automatic Key Word and Key Sentence Extraction; Chapter 14: Face Recognition Using Tensor SVD. Part III: Computing the Matrix Decompositions. Chapter 15: Computing Eigenvalues and Singular Values; Bibliography; Index.

Design Structure Matrix Methods and Applications

Design Structure Matrix Methods and Applications
Author: Steven D. Eppinger,Tyson R. Browning
Publsiher: MIT Press
Total Pages: 334
Release: 2012
ISBN 10: 0262017520
ISBN 13: 9780262017527
Language: EN, FR, DE, ES & NL

Design Structure Matrix Methods and Applications Book Review:

Design structure matrix (DSM) is a straightforward and flexible modeling technique that can be used for designing, developing, and managing complex systems. DSM offers network modeling tools that represent the elements of a system and their interactions, thereby highlighting the system's architecture (or designed structure). Its advantages include compact format, visual nature, intuitive representation, powerful analytical capacity, and flexibility. Used primarily so far in the area of engineering management, DSM is increasingly being applied to complex issues in health care management, financial systems, public policy, natural sciences, and social systems. This book offers a clear and concise explanation of DSM methods for practitioners and researchers. The book's four sections correspond to the four primary types of DSM models, offering tools for representing product architectures, organization architectures, process architectures, and multidomain architectures (which combine different types of DSM models to represent multiple domains simultaneously). In each section, a chapter introducing the technique is followed by a chapter of examples showing a variety of applications of that DSM type. The forty-four applications represent a wide range of industries (including automotive, aerospace, electronics, building, and pharmaceutical), countries (among them Australia, Germany, Japan, Turkey, and the United States), and problems addressed (modularity, outsourcing, system integration, knowledge management, and others).

Matrix Methods of Structural Analysis

Matrix Methods of Structural Analysis
Author: R. K. Livesley
Publsiher: Elsevier
Total Pages: 280
Release: 2014-05-16
ISBN 10: 1483136264
ISBN 13: 9781483136264
Language: EN, FR, DE, ES & NL

Matrix Methods of Structural Analysis Book Review:

Matrix Methods of Structural Analysis presents how concepts and notations of matrix algebra can be applied to arriving at general systematic approach to structure analysis. The book describes the use of matrix notation in structural analysis as being theoretically both compact and precise, but also, quite general. The text also presents, from the practical point of view, matrix notation as providing a systematic approach to the analysis of structures related to computer programming. Matrix algebraic methods are useful in repeated calculations where manual work becomes tedious. The Gaus-Seidel method and linear programming are two methods to use in solving simultaneous equations. The book then describes the notation for loads and displacements, on sign conventions, stiffness and flexibility matrices, and equilibrium and compatibility conditions. The text discusses the formulation of the equilibrium method using connection matrices and an alternative method. The book evaluates the compatibility method as programmed in a computer; and it discusses the analysis of a pin-jointed truss and of a rigid-jointed truss. The book presents some problems when using computers for analyzing structures, such as decision strategy, accuracy, and checks conducted on handling large matrices. The text also analyzes structures that behave in a non-linear manner. The book is suitable for structural engineers, physicist, civil engineers, and students of architectural design.

Matrix Methods Theory Algorithms and Applications

Matrix Methods  Theory  Algorithms and Applications
Author: Anonim
Publsiher: Unknown
Total Pages: 135
Release: 2022
ISBN 10: 9814469556
ISBN 13: 9789814469555
Language: EN, FR, DE, ES & NL

Matrix Methods Theory Algorithms and Applications Book Review:

Infinite Matrices and the Gliding Hump

Infinite Matrices and the Gliding Hump
Author: C Swartz
Publsiher: World Scientific
Total Pages: 224
Release: 1996-08-22
ISBN 10: 9814498718
ISBN 13: 9789814498715
Language: EN, FR, DE, ES & NL

Infinite Matrices and the Gliding Hump Book Review:

These notes present a theorem on infinite matrices with values in a topological group due to P Antosik and J Mikusinski. Using the matrix theorem and classical gliding hump techniques, a number of applications to various topics in functional analysis, measure theory and sequence spaces are given. There are a number of generalizations of the classical Uniform Boundedness Principle given; in particular, using stronger notions of sequential convergence and boundedness due to Antosik and Mikusinski, versions of the Uniform Boundedness Principle and the Banach-Steinhaus Theorem are given which, in contrast to the usual versions, require no completeness or barrelledness assumptions on the domain space. Versions of Nikodym Boundedness and Convergence Theorems of measure theory, the Orlicz-Pettis Theorem on subseries convergence, generalizations of the Schur Lemma on the equivalence of weak and norm convergence in l1 and the Mazur-Orlicz Theorem on the continuity of separately continuous bilinear mappings are also given. Finally, the matrix theorems are also employed to treat a number of topics in sequence spaces. Contents:IntroductionThe Antosik-Mikusinski Matrix Theoremk-Convergence and k-BoundednessThe Uniform Boundedness PrincipleThe Banach-Steinhaus TheoremContinuity and Hypocontinuity for Bilinear MapsPap's Adjoint TheoremVector Versions of the Hahn-Schur TheoremsAn Abstract Hahn-Schur TheoremThe Orlicz-Pettis TheoremImbedding c0 and l∞Sequence Spaces Readership: Graduate students in pure mathematics. keywords:Gliding Hump;Uniform Boundedness;Antosik-Mikusinski Matrix Theorem;Bilinear Operators;Hahn-Schur Theorems;Orlicz-Pettis Theorems;Sequence Spaces;Adjoint Operators;Automatic Continuity;Banach-Steinhaus Theorems “… the book is very well written and can be used by doctoral students that have followed a usual course on functional analysis and are starting to work in any of the topics covered by the book, and researchers interested in barrelled spaces and sequence spaces.” Mathematical Reviews

Random Matrix Methods for Wireless Communications

Random Matrix Methods for Wireless Communications
Author: Romain Couillet,Mérouane Debbah
Publsiher: Cambridge University Press
Total Pages: 135
Release: 2011-09-29
ISBN 10: 1139504967
ISBN 13: 9781139504966
Language: EN, FR, DE, ES & NL

Random Matrix Methods for Wireless Communications Book Review:

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.

Application of Vector and Matrix Methods to Triangulation of Chemical Releases in the Upper Atmosphere

Application of Vector and Matrix Methods to Triangulation of Chemical Releases in the Upper Atmosphere
Author: Antonio F. Quesada
Publsiher: Unknown
Total Pages: 56
Release: 1971
ISBN 10: 1928374650XXX
ISBN 13: UOM:39015095134055
Language: EN, FR, DE, ES & NL

Application of Vector and Matrix Methods to Triangulation of Chemical Releases in the Upper Atmosphere Book Review:

The methodology of vector and matrix algebra has been used to simplify the triangulation procedures required to determine the position, motion, and growth of luminescent gas clouds injected into the upper atmosphere. Generated by chemicals discharged from rockets programed to effect point or continuous releases at preselected times, such clouds have proved to be a powerful experimental tool for gathering data relevant to upper atmosphere phenomena such as winds, wind shears, and turbulent transport mechanisms, and the production, maintenance, and decay of ionization in support of specific Air Force requirements in satellite operations, missile detection, and communications. (Author).

Matrix Methods in the Design Analysis of Mechanisms and Multibody Systems

Matrix Methods in the Design Analysis of Mechanisms and Multibody Systems
Author: John J. Uicker,Pradip N. Sheth,Bahram Ravani
Publsiher: Cambridge University Press
Total Pages: 326
Release: 2013-04-15
ISBN 10: 0521761093
ISBN 13: 9780521761093
Language: EN, FR, DE, ES & NL

Matrix Methods in the Design Analysis of Mechanisms and Multibody Systems Book Review:

This is an integrated approach to kinematic and dynamic analysis. The matrix techniques presented are general and applicable to two- or three-dimensional systems. The techniques lend themselves to programming and digital computation and can be a usable tool for designers, and are applicable to the design analysis of all multibody mechanical systems.

Matrix Methods

Matrix Methods
Author: Richard Bronson,Gabriel B. Costa
Publsiher: Academic Press
Total Pages: 432
Release: 2008-09-04
ISBN 10: 9780080922256
ISBN 13: 0080922252
Language: EN, FR, DE, ES & NL

Matrix Methods Book Review:

Matrix Methods: Applied Linear Algebra, Third Edition, as a textbook, provides a unique and comprehensive balance between the theory and computation of matrices. The application of matrices is not just for mathematicians. The use by other disciplines has grown dramatically over the years in response to the rapid changes in technology. Matrix methods is the essence of linear algebra and is what is used to help physical scientists; chemists, physicists, engineers, statisticians, and economists solve real world problems. Applications like Markov chains, graph theory and Leontief Models are placed in early chapters Readability- The prerequisite for most of the material is a firm understanding of algebra New chapters on Linear Programming and Markov Chains Appendix referencing the use of technology, with special emphasis on computer algebra systems (CAS) MATLAB

Matrix Methods for Engineering

Matrix Methods for Engineering
Author: Louis Albert Pipes
Publsiher: Unknown
Total Pages: 427
Release: 1963
ISBN 10: 1928374650XXX
ISBN 13: UOM:39015002904954
Language: EN, FR, DE, ES & NL

Matrix Methods for Engineering Book Review:

Matrix Methods for Advanced Structural Analysis

Matrix Methods for Advanced Structural Analysis
Author: Manolis Papadrakakis,Evangelos Sapountzakis
Publsiher: Butterworth-Heinemann
Total Pages: 468
Release: 2017-11-13
ISBN 10: 0128118822
ISBN 13: 9780128118825
Language: EN, FR, DE, ES & NL

Matrix Methods for Advanced Structural Analysis Book Review:

Matrix Methods for Advanced Structural Analysis covers in detail the theoretical concepts related to rockbursts, and introduces the current computational modeling techniques and laboratory tests available. The second part is devoted to case studies in mining (coal and metal) and tunneling environments worldwide. The third part covers the most recent advances in measurement and monitoring. Special focus is given to the interpretation of signals and reliability of systems. The following part addresses warning and risk mitigation through the proposition of a single risk assessment index and a comprehensive warning index to portray the stress status of the rock and a successful case study. The final part of the book discusses mitigation including best practices for distressing and efficiently supporting rock. Provides a brief historical overview of methods of static analysis, programming principles and suggestions for the rational use of computer programs Provides MATLAB® oriented software for the analysis of beam-like structures Covers the principal steps of the Direct Stiffness Method presented for plane trusses, plane framed structures, space trusses and space framed structures