Pdf ebook: Computation of Generalized Matrix Inverses and Applications

Pdf download ebook Computation of Generalized Matrix Inverses and Applications

Summary: This volume offers a gradual exposition to matrix theory as a subject of linear algebra. It presents both the theoretical results in generalized matrix inv

  • Author : N.a
  • Publisher: CRC Press
  • ISBN: 1351630067
  • Genre: Mathematics
  • Number of Pages: 280
  • Language: English
  • Views: 1463
  • Downloads: 1463
  • GET BOOK

Description: 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.


Pdf ebook: Generalized Inverses

Pdf download ebook Generalized Inverses

Summary: This second edition accounts for many major developments in generalized inverses while maintaining the informal and leisurely style of the 1974 first editi

  • Author : Adi Ben-Israel,Thomas N.E. Greville
  • Publisher: Springer Science & Business Media
  • ISBN: 0387216340
  • Genre: Mathematics
  • Number of Pages: 420
  • Language: English
  • Views: 1825
  • Downloads: 1825
  • GET BOOK

Description: This second edition accounts for many major developments in generalized inverses while maintaining the informal and leisurely style of the 1974 first edition. Added material includes a chapter on applications, new exercises, and an appendix on the work of E.H. Moore.


Pdf ebook: Numerical And Symbolic Computations Of Generalized Inverses

Pdf download ebook Numerical And Symbolic Computations Of Generalized Inverses

Summary: We introduce new methods connecting numerics and symbolic computations, i.e., both the direct and iterative methods as well as the symbolic method for comp

  • Author : Yimin Wei,Predrag Stanimirovic,Marko Petkovic
  • Publisher: World Scientific
  • ISBN: 9813238682
  • Genre: Mathematics
  • Number of Pages: 472
  • Language: English
  • Views: 802
  • Downloads: 802
  • GET BOOK

Description: We introduce new methods connecting numerics and symbolic computations, i.e., both the direct and iterative methods as well as the symbolic method for computing the generalized inverses. These will be useful for Engineers and Statisticians, in addition to applied mathematicians.Also, main applications of generalized inverses will be presented. Symbolic method covered in our book but not discussed in other book, which is important for numerical-symbolic computations.


Pdf ebook: Generalized Inverses: Theory and Computations

Pdf download ebook Generalized Inverses: Theory and Computations

Summary: This book begins with the fundamentals of the generalized inverses, then moves to more advanced topics. It presents a theoretical study of the generalizati

  • Author : Guorong Wang,Yimin Wei,Sanzheng Qiao
  • Publisher: Springer
  • ISBN: 9811301468
  • Genre: Mathematics
  • Number of Pages: 378
  • Language: English
  • Views: 1709
  • Downloads: 1709
  • GET BOOK

Description: This book begins with the fundamentals of the generalized inverses, then moves to more advanced topics. It presents a theoretical study of the generalization of Cramer's rule, determinant representations of the generalized inverses, reverse order law of the generalized inverses of a matrix product, structures of the generalized inverses of structured matrices, parallel computation of the generalized inverses, perturbation analysis of the generalized inverses, an algorithmic study of the computational methods for the full-rank factorization of a generalized inverse, generalized singular value decomposition, imbedding method, finite method, generalized inverses of polynomial matrices, and generalized inverses of linear operators. This book is intended for researchers, postdocs, and graduate students in the area of the generalized inverses with an undergraduate-level understanding of linear algebra.


Pdf ebook: Theory and Practice of Control and Systems

Pdf download ebook Theory and Practice of Control and Systems

Summary: This volume gathers together all the lectures presented at the 6th IEEE Mediterranean Conference. It focuses on the mathematical aspects in the theory and

  • Author : A Tornambe,G Conte,A M Perdon
  • Publisher: World Scientific
  • ISBN: 9814632465
  • Genre: Books
  • Number of Pages: 864
  • Language: English
  • Views: 874
  • Downloads: 874
  • GET BOOK

Description: This volume gathers together all the lectures presented at the 6th IEEE Mediterranean Conference. It focuses on the mathematical aspects in the theory and practice of control and systems, including stability and stabilizability, robust control, adaptive control, robotics and manufacturing; these topics are under intense investigation and development in the engineering and mathematics communities. The volume should have immediate appeal for a large group of engineers and mathematicians who are interested in very abstract as well as very concrete aspects of control and system theory. Contents: Quantified Multivariate Polynomial Inequalities: The Mathematics of (Almost) All Practical Control Design Problems (P Dorato)Digital Second Order Sliding Mode Control with Uncertainties Estimation for a Class of SISO Nonlinear Systems (G Bartolini et al.)Development and Identification of a Hierarchical System of Models for Rapid Prototyping of Si Engines (I Arsie et al.)Identification of Uncertainty Models for Robust Control Design (S Malan et al.)Second Order Chattering-Free Sliding Mode Control for Some Classes of Multi-Input Uncertain Nonlinear Systems (G Bartolini et al.)Sliding Mode Output Regulation of Linear and Nonlinear Systems with Relative Degree One (L Marconi et al.)Output Control of Nonlinear Systems with Multiple Discrete Delays (M Dalla Mora et al.)Analytical Synthesis of Least Curvature 2D Paths for Underwater Applications (G Indiveri et al.)Modelling and Control of Nonsmooth Hybrid Mechanical Systems (B Brogliato)Global Temperature Stabilization of Chemical Reactors with Bounded Control (R Antonelli & A Astolfi)Detection and Accommodation of Second Order Distributed Parameter Systems with Abrupt Changes in Input Term: Existence and Approximation (M A Demetriou et al.)Discrete-Event Models of Manufacturing Systems (E Canuto)Optimization of Internal Forces in Force-Closure Grasps (A Bicchi et al.)Loading Parts and Tools in a Flexible Manufacturing System (D Pacciarelli)and other papers Readership: Researchers in control & system theory, electrical & electronic engineering, mechanical & knowledge engineering and robotics.


Pdf ebook: Methods and Applications of Error-Free Computation

Pdf download ebook Methods and Applications of Error-Free Computation

Summary: This book is written as an introduction to the theory of error-free computation. In addition, we include several chapters that illustrate how error-free co

  • Author : R. T. Gregory,E. V. Krishnamurthy
  • Publisher: Springer Science & Business Media
  • ISBN: 1461252423
  • Genre: Mathematics
  • Number of Pages: 194
  • Language: English
  • Views: 304
  • Downloads: 304
  • GET BOOK

Description: This book is written as an introduction to the theory of error-free computation. In addition, we include several chapters that illustrate how error-free com putation can be applied in practice. The book is intended for seniors and first year graduate students in fields of study involving scientific computation using digital computers, and for researchers (in those same fields) who wish to obtain an introduction to the subject. We are motivated by the fact that there are large classes of ill-conditioned problems, and there are numerically unstable algorithms, and in either or both of these situations we cannot tolerate rounding errors during the numerical computations involved in obtaining solutions to the problems. Thus, it is important to study finite number systems for digital computers which have the property that computation can be performed free of rounding errors. In Chapter I we discuss single-modulus and multiple-modulus residue number systems and arithmetic in these systems, where the operands may be either integers or rational numbers. In Chapter II we discuss finite-segment p-adic number systems and their relationship to the p-adic numbers of Hensel [1908]. Each rational number in a certain finite set is assigned a unique Hensel code and arithmetic operations using Hensel codes as operands is mathe matically equivalent to those same arithmetic operations using the cor responding rational numbers as operands. Finite-segment p-adic arithmetic shares with residue arithmetic the property that it is free of rounding errors.


Pdf ebook: Generalized Inverses: Theory and Computations

Pdf download ebook Generalized Inverses: Theory and Computations

Summary: This book begins with the fundamentals of the generalized inverses, then moves to more advanced topics. It presents a theoretical study of the generalizati

  • Author : Guorong Wang,Yimin Wei,Sanzheng Qiao
  • Publisher: Springer
  • ISBN: 9811301468
  • Genre: Mathematics
  • Number of Pages: 378
  • Language: English
  • Views: 1836
  • Downloads: 1836
  • GET BOOK

Description: This book begins with the fundamentals of the generalized inverses, then moves to more advanced topics. It presents a theoretical study of the generalization of Cramer's rule, determinant representations of the generalized inverses, reverse order law of the generalized inverses of a matrix product, structures of the generalized inverses of structured matrices, parallel computation of the generalized inverses, perturbation analysis of the generalized inverses, an algorithmic study of the computational methods for the full-rank factorization of a generalized inverse, generalized singular value decomposition, imbedding method, finite method, generalized inverses of polynomial matrices, and generalized inverses of linear operators. This book is intended for researchers, postdocs, and graduate students in the area of the generalized inverses with an undergraduate-level understanding of linear algebra.


Pdf ebook: Algebraic Informatics

Pdf download ebook Algebraic Informatics

Summary: This book constitutes the refereed proceedings of the 8th International Conference on Algebraic Informatics, CAI 2019, held in Niš, Serbia, in June/July 2

  • Author : Miroslav Ćirić,Manfred Droste,Jean-Éric Pin
  • Publisher: Springer
  • ISBN: 3030213633
  • Genre: Computers
  • Number of Pages: 259
  • Language: English
  • Views: 345
  • Downloads: 345
  • GET BOOK

Description: This book constitutes the refereed proceedings of the 8th International Conference on Algebraic Informatics, CAI 2019, held in Niš, Serbia, in June/July 2019. The 20 revised papers presented were carefully reviewed and selected from 35 submissions. The papers present research at the intersection of theoretical computer science, algebra, and related areas. They report original unpublished research and cover a broad range of topics from automata theory and logic, cryptography and coding theory, computer algebra, design theory, natural and quantum computation, and related areas.


Pdf ebook: Generalized Inverses of Linear Transformations

Pdf download ebook Generalized Inverses of Linear Transformations

Summary: Generalized (or pseudo-) inverse concepts routinely appear throughout applied mathematics and engineering, in both research literature and textbooks. Altho

  • Author : Stephen L. Campbell,Carl D. Meyer
  • Publisher: SIAM
  • ISBN: 0898719046
  • Genre: Mathematics
  • Number of Pages: 272
  • Language: English
  • Views: 1991
  • Downloads: 1991
  • GET BOOK

Description: Generalized (or pseudo-) inverse concepts routinely appear throughout applied mathematics and engineering, in both research literature and textbooks. Although the basic properties are readily available, some of the more subtle aspects and difficult details of the subject are not well documented or understood. First published in 1979, Generalized Inverses of Linear Transformations remains up-to-date and readable, and it includes chapters on Markov chains and the Drazin inverse methods that have become significant to many problems in applied mathematics. The book provides comprehensive coverage of the mathematical theory of generalized inverses coupled with a wide range of important and practical applications that includes topics in electrical and computer engineering, control and optimization, computing and numerical analysis, statistical estimation, and stochastic processes. Audience: intended for use as a reference by applied scientists and engineers.


Pdf ebook: Combinatorial Matrix Theory and Generalized Inverses of Matrices

Pdf download ebook Combinatorial Matrix Theory and Generalized Inverses of Matrices

Summary: This book consists of eighteen articles in the area of `Combinatorial Matrix Theory' and `Generalized Inverses of Matrices'. Original research and exposito

  • Author : Ravindra B. Bapat,Steve J. Kirkland,K. Manjunatha Prasad,Simo Puntanen
  • Publisher: Springer Science & Business Media
  • ISBN: 8132210530
  • Genre: Mathematics
  • Number of Pages: 277
  • Language: English
  • Views: 929
  • Downloads: 929
  • GET BOOK

Description: This book consists of eighteen articles in the area of `Combinatorial Matrix Theory' and `Generalized Inverses of Matrices'. Original research and expository articles presented in this publication are written by leading Mathematicians and Statisticians working in these areas. The articles contained herein are on the following general topics: `matrices in graph theory', `generalized inverses of matrices', `matrix methods in statistics' and `magic squares'. In the area of matrices and graphs, speci_c topics addressed in this volume include energy of graphs, q-analog, immanants of matrices and graph realization of product of adjacency matrices. Topics in the book from `Matrix Methods in Statistics' are, for example, the analysis of BLUE via eigenvalues of covariance matrix, copulas, error orthogonal model, and orthogonal projectors in the linear regression models. Moore-Penrose inverse of perturbed operators, reverse order law in the case of inde_nite inner product space, approximation numbers, condition numbers, idempotent matrices, semiring of nonnegative matrices, regular matrices over incline and partial order of matrices are the topics addressed under the area of theory of generalized inverses. In addition to the above traditional topics and a report on CMTGIM 2012 as an appendix, we have an article on old magic squares from India.


Pdf ebook: Elements of the Theory of Generalized Inverses of Matrices

Pdf download ebook Elements of the Theory of Generalized Inverses of Matrices

Summary: The purpose of this monograph is to provide a concise introduction to the theory of generalized inverses of matrices that is accessible to undergraduate ma

  • Author : R.E. Cline
  • Publisher: Springer Science & Business Media
  • ISBN: 1468467174
  • Genre: Mathematics
  • Number of Pages: 88
  • Language: English
  • Views: 1209
  • Downloads: 1209
  • GET BOOK

Description: The purpose of this monograph is to provide a concise introduction to the theory of generalized inverses of matrices that is accessible to undergraduate mathematics majors. Although results from this active area of research have appeared in a number of excellent graduate level text books since 1971, material for use at the undergraduate level remains fragmented. The basic ideas are so fundamental, however, that they can be used to unify various topics that an undergraduate has seen but perhaps not related. Material in this monograph was first assembled by the author as lecture notes for the senior seminar in mathematics at the University of Tennessee. In this seminar one meeting per week was for a lecture on the subject matter, and another meeting was to permit students to present solutions to exercises. Two major problems were encountered the first quarter the seminar was given. These were that some of the students had had only the required one-quarter course in matrix theory and were not sufficiently familiar with eigenvalues, eigenvectors and related concepts, and that many -v- of the exercises required fortitude. At the suggestion of the UMAP Editor, the approach in the present monograph is (1) to develop the material in terms of full rank factoriza tions and to relegate all discussions using eigenvalues and eigenvectors to exercises, and (2) to include an appendix of hints for exercises.


Pdf ebook: Regression and the Moore-Penrose Pseudoinverse

Pdf download ebook Regression and the Moore-Penrose Pseudoinverse

Summary: Regression and the Moore-Penrose Pseudoinverse

  • Author : Albert
  • Publisher: Academic Press
  • ISBN: 0080956033
  • Genre: Computers
  • Number of Pages: 179
  • Language: English
  • Views: 895
  • Downloads: 895
  • GET BOOK

Description: Regression and the Moore-Penrose Pseudoinverse


Pdf ebook: Infinite Matrices and Their Recent Applications

Pdf download ebook Infinite Matrices and Their Recent Applications

Summary: This monograph covers the theory of finite and infinite matrices over the fields of real numbers, complex numbers and over quaternions. Emphasizing topics

  • Author : P.N. Shivakumar,K.C. Sivakumar,Yang Zhang
  • Publisher: Springer
  • ISBN: 3319301802
  • Genre: Mathematics
  • Number of Pages: 118
  • Language: English
  • Views: 997
  • Downloads: 997
  • GET BOOK

Description: This monograph covers the theory of finite and infinite matrices over the fields of real numbers, complex numbers and over quaternions. Emphasizing topics such as sections or truncations and their relationship to the linear operator theory on certain specific separable and sequence spaces, the authors explore techniques like conformal mapping, iterations and truncations that are used to derive precise estimates in some cases and explicit lower and upper bounds for solutions in the other cases. Most of the matrices considered in this monograph have typically special structures like being diagonally dominated or tridiagonal, possess certain sign distributions and are frequently nonsingular. Such matrices arise, for instance, from solution methods for elliptic partial differential equations. The authors focus on both theoretical and computational aspects concerning infinite linear algebraic equations, differential systems and infinite linear programming, among others. Additionally, the authors cover topics such as Bessel’s and Mathieu’s equations, viscous fluid flow in doubly connected regions, digital circuit dynamics and eigenvalues of the Laplacian.


Pdf ebook: Matrix Algebra

Pdf download ebook Matrix Algebra

Summary: Matrix algebra is one of the most important areas of mathematics for data analysis and for statistical theory. This much-needed work presents the relevant

  • Author : James E. Gentle
  • Publisher: Springer Science & Business Media
  • ISBN: 0387708731
  • Genre: Mathematics
  • Number of Pages: 530
  • Language: English
  • Views: 1420
  • Downloads: 1420
  • GET BOOK

Description: Matrix algebra is one of the most important areas of mathematics for data analysis and for statistical theory. This much-needed work presents the relevant aspects of the theory of matrix algebra for applications in statistics. It moves on to consider the various types of matrices encountered in statistics, such as projection matrices and positive definite matrices, and describes the special properties of those matrices. Finally, it covers numerical linear algebra, beginning with a discussion of the basics of numerical computations, and following up with accurate and efficient algorithms for factoring matrices, solving linear systems of equations, and extracting eigenvalues and eigenvectors.


Pdf ebook: Algebraic Properties of Generalized Inverses

Pdf download ebook Algebraic Properties of Generalized Inverses

Summary: This book addresses selected topics in the theory of generalized inverses. Following a discussion of the “reverse order law” problem and certain proble

  • Author : Dragana S. Cvetković‐Ilić,Yimin Wei
  • Publisher: Springer
  • ISBN: 9811063494
  • Genre: Mathematics
  • Number of Pages: 194
  • Language: English
  • Views: 1481
  • Downloads: 1481
  • GET BOOK

Description: This book addresses selected topics in the theory of generalized inverses. Following a discussion of the “reverse order law” problem and certain problems involving completions of operator matrices, it subsequently presents a specific approach to solving the problem of the reverse order law for {1} -generalized inverses. Particular emphasis is placed on the existence of Drazin invertible completions of an upper triangular operator matrix; on the invertibility and different types of generalized invertibility of a linear combination of operators on Hilbert spaces and Banach algebra elements; on the problem of finding representations of the Drazin inverse of a 2x2 block matrix; and on selected additive results and algebraic properties for the Drazin inverse. In addition to the clarity of its content, the book discusses the relevant open problems for each topic discussed. Comments on the latest references on generalized inverses are also included. Accordingly, the book will be useful for graduate students, PhD students and researchers, but also for a broader readership interested in these topics.


Pdf ebook: Applications of Linear and Nonlinear Models

Pdf download ebook Applications of Linear and Nonlinear Models

Summary: Here we present a nearly complete treatment of the Grand Universe of linear and weakly nonlinear regression models within the first 8 chapters. Our point o

  • Author : Erik Grafarend,Joseph L. Awange
  • Publisher: Springer Science & Business Media
  • ISBN: 3642222412
  • Genre: Science
  • Number of Pages: 1016
  • Language: English
  • Views: 1982
  • Downloads: 1982
  • GET BOOK

Description: Here we present a nearly complete treatment of the Grand Universe of linear and weakly nonlinear regression models within the first 8 chapters. Our point of view is both an algebraic view as well as a stochastic one. For example, there is an equivalent lemma between a best, linear uniformly unbiased estimation (BLUUE) in a Gauss-Markov model and a least squares solution (LESS) in a system of linear equations. While BLUUE is a stochastic regression model, LESS is an algebraic solution. In the first six chapters we concentrate on underdetermined and overdeterimined linear systems as well as systems with a datum defect. We review estimators/algebraic solutions of type MINOLESS, BLIMBE, BLUMBE, BLUUE, BIQUE, BLE, BIQUE and Total Least Squares. The highlight is the simultaneous determination of the first moment and the second central moment of a probability distribution in an inhomogeneous multilinear estimation by the so called E-D correspondence as well as its Bayes design. In addition, we discuss continuous networks versus discrete networks, use of Grassmann-Pluecker coordinates, criterion matrices of type Taylor-Karman as well as FUZZY sets. Chapter seven is a speciality in the treatment of an overdetermined system of nonlinear equations on curved manifolds. The von Mises-Fisher distribution is characteristic for circular or (hyper) spherical data. Our last chapter eight is devoted to probabilistic regression, the special Gauss-Markov model with random effects leading to estimators of type BLIP and VIP including Bayesian estimation. A great part of the work is presented in four Appendices. Appendix A is a treatment, of tensor algebra, namely linear algebra, matrix algebra and multilinear algebra. Appendix B is devoted to sampling distributions and their use in terms of confidence intervals and confidence regions. Appendix C reviews the elementary notions of statistics, namely random events and stochastic processes. Appendix D introduces the basics of Groebner basis algebra, its careful definition, the Buchberger Algorithm, especially the C. F. Gauss combinatorial algorithm.


Pdf ebook: Mathematics for Stability and Optimization of Economic Systems

Pdf download ebook Mathematics for Stability and Optimization of Economic Systems

Summary: Economic Theory and Mathematical Economics: Mathematics for Stability and Optimization of Economic Systems provides information pertinent to the stability

  • Author : Yasuo Murata
  • Publisher: Academic Press
  • ISBN: 1483271293
  • Genre: Business & Economics
  • Number of Pages: 438
  • Language: English
  • Views: 409
  • Downloads: 409
  • GET BOOK

Description: Economic Theory and Mathematical Economics: Mathematics for Stability and Optimization of Economic Systems provides information pertinent to the stability aspects and optimization methods relevant to various economic systems. This book presents relevant mathematical theorems sufficient to develop important economic systems, including Leontief input–output systems, Keynesian dynamic models, the Ramsey optimal accumulation systems, and von Neumann expanding economic systems. Organized into two parts encompassing nine chapters, this book begins with an overview of useful theorems on matrices, eigenvalue problems, and matrices with dominant diagonals and P-matrices. This text then explores the linear transformations on vector spaces. Other chapters consider the Hawkins–Simon theorem concerning non-negative linear systems. This book discusses as well the dual linear relations and optimization methods applicable to inequality economic systems. The final chapter deals with powerful optimal control method for dynamical systems. This book is a valuable resource for mathematicians, economists, research workers, and graduate students.


Pdf ebook: Advances in Computation and Intelligence

Pdf download ebook Advances in Computation and Intelligence

Summary: Volumes CCIS 107 and LNCS 6382 constitute the proceedings of the 5th International Symposium, ISICA 2010, held in Wuhan, China, in October 2010. ISICA 2010

  • Author : Zhihua Cai,Chengyu Hu,Zhuo Kang,Yong Liu
  • Publisher: Springer
  • ISBN: 3642164935
  • Genre: Computers
  • Number of Pages: 536
  • Language: English
  • Views: 1783
  • Downloads: 1783
  • GET BOOK

Description: Volumes CCIS 107 and LNCS 6382 constitute the proceedings of the 5th International Symposium, ISICA 2010, held in Wuhan, China, in October 2010. ISICA 2010 attracted 267 submissions and through rigorous reviews 53 papers were included in LNCS 6382. The papers are presented in sections on ANT colony and particle swarm optimization, differential evolution, distributed computing, genetic algorithms, multi-agent systems, multi-objective and dynamic optimization, robot intelligence, statistic learning and system design.


Pdf ebook: Numerical Linear Algebra with Applications

Pdf download ebook Numerical Linear Algebra with Applications

Summary: Numerical Linear Algebra with Applications is designed for those who want to gain a practical knowledge of modern computational techniques for the numerica

  • Author : William Ford
  • Publisher: Academic Press
  • ISBN: 0123947847
  • Genre: Mathematics
  • Number of Pages: 628
  • Language: English
  • Views: 1777
  • Downloads: 1777
  • GET BOOK

Description: Numerical Linear Algebra with Applications is designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, using MATLAB as the vehicle for computation. The book contains all the material necessary for a first year graduate or advanced undergraduate course on numerical linear algebra with numerous applications to engineering and science. With a unified presentation of computation, basic algorithm analysis, and numerical methods to compute solutions, this book is ideal for solving real-world problems. The text consists of six introductory chapters that thoroughly provide the required background for those who have not taken a course in applied or theoretical linear algebra. It explains in great detail the algorithms necessary for the accurate computation of the solution to the most frequently occurring problems in numerical linear algebra. In addition to examples from engineering and science applications, proofs of required results are provided without leaving out critical details. The Preface suggests ways in which the book can be used with or without an intensive study of proofs. This book will be a useful reference for graduate or advanced undergraduate students in engineering, science, and mathematics. It will also appeal to professionals in engineering and science, such as practicing engineers who want to see how numerical linear algebra problems can be solved using a programming language such as MATLAB, MAPLE, or Mathematica. Six introductory chapters that thoroughly provide the required background for those who have not taken a course in applied or theoretical linear algebra Detailed explanations and examples A through discussion of the algorithms necessary for the accurate computation of the solution to the most frequently occurring problems in numerical linear algebra Examples from engineering and science applications


Pdf ebook: Mixed Models

Pdf download ebook Mixed Models

Summary: Praise for the First Edition “This book will serve to greatly complement the growing number of texts dealing with mixed models, and I highly recommend in

  • Author : Eugene Demidenko
  • Publisher: John Wiley & Sons
  • ISBN: 1118592999
  • Genre: Mathematics
  • Number of Pages: 754
  • Language: English
  • Views: 853
  • Downloads: 853
  • GET BOOK

Description: Praise for the First Edition “This book will serve to greatly complement the growing number of texts dealing with mixed models, and I highly recommend including it in one’s personal library.” —Journal of the American Statistical Association Mixed modeling is a crucial area of statistics, enabling the analysis of clustered and longitudinal data. Mixed Models: Theory and Applications with R, Second Edition fills a gap in existing literature between mathematical and applied statistical books by presenting a powerful examination of mixed model theory and application with special attention given to the implementation in R. The new edition provides in-depth mathematical coverage of mixed models’ statistical properties and numerical algorithms, as well as nontraditional applications, such as regrowth curves, shapes, and images. The book features the latest topics in statistics including modeling of complex clustered or longitudinal data, modeling data with multiple sources of variation, modeling biological variety and heterogeneity, Healthy Akaike Information Criterion (HAIC), parameter multidimensionality, and statistics of image processing. Mixed Models: Theory and Applications with R, Second Edition features unique applications of mixed model methodology, as well as: Comprehensive theoretical discussions illustrated by examples and figures Over 300 exercises, end-of-section problems, updated data sets, and R subroutines Problems and extended projects requiring simulations in R intended to reinforce material Summaries of major results and general points of discussion at the end of each chapter Open problems in mixed modeling methodology, which can be used as the basis for research or PhD dissertations Ideal for graduate-level courses in mixed statistical modeling, the book is also an excellent reference for professionals in a range of fields, including cancer research, computer science, and engineering.