June 20, 2021

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Matrix Methods in Analysis

Matrix Methods in Analysis
Author : Piotr Antosik,Charles Swartz
Publisher : Springer Verlag
Release Date : 1985-02
Category : Mathematics
Total pages :114
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Matrix Methods

Matrix Methods
Author : Richard Bronson
Publisher : Gulf Professional Publishing
Release Date : 1991
Category : Mathematics
Total pages :503
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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 for Optical Layout

Matrix Methods for Optical Layout
Author : Gerhard Kloos
Publisher : SPIE Press
Release Date : 2007
Category : Technology & Engineering
Total pages :121
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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.

Introduction to Matrix Methods in Optics

Introduction to Matrix Methods in Optics
Author : Anthony Gerrard,James M. Burch
Publisher : Courier Corporation
Release Date : 1994-01-01
Category : Science
Total pages :355
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Clear, accessible guide requires little prior knowledge and considers just two topics: paraxial imaging and polarization. Lucid discussions of paraxial imaging properties of a centered optical system, optical resonators and laser beam propagation, matrices in polarization optics and propagation of light through crystals, much more. 60 illustrations. Appendixes. Bibliography.

Introductory Structural Analysis with Matrix Methods

Introductory Structural Analysis with Matrix Methods
Author : Chu-Kia Wang
Publisher : Prentice Hall
Release Date : 1973
Category : Matrices
Total pages :227
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Recent Advances in Matrix Methods of Structural Analysis and Design

Recent Advances in Matrix Methods of Structural Analysis and Design
Author : Richard H. Gallagher,Yoshiaki Yamada,John Tinsley Oden
Publisher : University of Alabama Press
Release Date : 1971
Category : Technology & Engineering
Total pages :877
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Matrix Methods in Data Mining and Pattern Recognition, Second Edition

Matrix Methods in Data Mining and Pattern Recognition, Second Edition
Author : Lars Elden
Publisher : SIAM
Release Date : 2019-08-30
Category : Mathematics
Total pages :229
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This thoroughly revised second edition provides an updated treatment of numerical linear algebra techniques for solving problems in data mining and pattern recognition. Adopting an application-oriented approach, the author introduces matrix theory and decompositions, describes how modern matrix methods can be applied in real life scenarios, and provides a set of tools that students can modify for a particular application. Building on material from the first edition, the author discusses basic graph concepts and their matrix counterparts. He introduces the graph Laplacian and properties of its eigenvectors needed in spectral partitioning and describes spectral graph partitioning applied to social networks and text classification. Examples are included to help readers visualize the results. This new edition also presents matrix-based methods that underlie many of the algorithms used for big data. The book provides a solid foundation to further explore related topics and presents applications such as classification of handwritten digits, text mining, text summarization, PageRank computations related to the Google search engine, and facial recognition. Exercises and computer assignments are available on a Web page that supplements the book. This book is primarily for undergraduate students who have previously taken an introductory scientific computing/numerical analysis course and graduate students in data mining and pattern recognition areas who need an introduction to linear algebra techniques.

Matrix Methods in Structural Analysis

Matrix Methods in Structural Analysis
Author : Jamshed Homi Dastur
Publisher : Unknown
Release Date : 1961
Category : Matrices
Total pages :224
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The Application of Matrix Methods in the Theory of Switching

The Application of Matrix Methods in the Theory of Switching
Author : Warren Lloyd Semon
Publisher : Unknown
Release Date : 1954
Category : Matrices
Total pages :168
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Matrix-computer Methods in Engineering

Matrix-computer Methods in Engineering
Author : Louis Albert Pipes,Shahen A. Hovanessian
Publisher : Krieger Publishing Company
Release Date : 1977
Category : Engineering
Total pages :333
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MATRIX METHODS OF STRUCTURAL ANALYSIS

MATRIX METHODS OF STRUCTURAL ANALYSIS
Author : C. NATARAJAN,P. REVATHI
Publisher : PHI Learning Pvt. Ltd.
Release Date : 2014-01-20
Category : Technology & Engineering
Total pages :352
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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.

Design Structure Matrix Methods and Applications

Design Structure Matrix Methods and Applications
Author : Steven D. Eppinger,Tyson R. Browning
Publisher : Mit Press
Release Date : 2016-01-12
Category : Flexible manufacturing systems
Total pages :352
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An introduction to a powerful and flexible network modeling tool for developing and understanding complex systems, with many examples from a range of industries. 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.

Structural Analysis

Structural Analysis
Author : Jack C. McCormac
Publisher : John Wiley & Sons
Release Date : 2006-10-13
Category : Technology & Engineering
Total pages :620
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Presenting an introduction to elementary structural analysis methods and principles, this book will help readers develop a thorough understanding of both the behavior of structural systems under load and the tools needed to analyze those systems. Throughout the chapters, they'll explore both statically determinate and statically indeterminate structures. And they'll find hands-on examples and problems that illustrate key concepts and give them opportunity to apply what they've learned.

Matrix Methods of Structural Analysis

Matrix Methods of Structural Analysis
Author : R. K. Livesley
Publisher : Elsevier
Release Date : 2014-05-16
Category : Technology & Engineering
Total pages :280
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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.

Sensitivity Analysis: Matrix Methods in Demography and Ecology

Sensitivity Analysis: Matrix Methods in Demography and Ecology
Author : Hal Caswell
Publisher : Springer
Release Date : 2019-04-19
Category : Social Science
Total pages :129
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This open access book shows how to use sensitivity analysis in demography. It presents new methods for individuals, cohorts, and populations, with applications to humans, other animals, and plants. The analyses are based on matrix formulations of age-classified, stage-classified, and multistate population models. Methods are presented for linear and nonlinear, deterministic and stochastic, and time-invariant and time-varying cases. Readers will discover results on the sensitivity of statistics of longevity, life disparity, occupancy times, the net reproductive rate, and statistics of Markov chain models in demography. They will also see applications of sensitivity analysis to population growth rates, stable population structures, reproductive value, equilibria under immigration and nonlinearity, and population cycles. Individual stochasticity is a theme throughout, with a focus that goes beyond expected values to include variances in demographic outcomes. The calculations are easily and accurately implemented in matrix-oriented programming languages such as Matlab or R. Sensitivity analysis will help readers create models to predict the effect of future changes, to evaluate policy effects, and to identify possible evolutionary responses to the environment. Complete with many examples of the application, the book will be of interest to researchers and graduate students in human demography and population biology. The material will also appeal to those in mathematical biology and applied mathematics.