Complex-Valued Matrix Derivatives

Download Complex-Valued Matrix Derivatives PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 1139498045
Total Pages : 271 pages
Book Rating : 4.1/5 (394 download)

DOWNLOAD NOW!


Book Synopsis Complex-Valued Matrix Derivatives by : Are Hjørungnes

Download or read book Complex-Valued Matrix Derivatives written by Are Hjørungnes and published by Cambridge University Press. This book was released on 2011-02-24 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this complete introduction to the theory of finding derivatives of scalar-, vector- and matrix-valued functions with respect to complex matrix variables, Hjørungnes describes an essential set of mathematical tools for solving research problems where unknown parameters are contained in complex-valued matrices. The first book examining complex-valued matrix derivatives from an engineering perspective, it uses numerous practical examples from signal processing and communications to demonstrate how these tools can be used to analyze and optimize the performance of engineering systems. Covering un-patterned and certain patterned matrices, this self-contained and easy-to-follow reference deals with applications in a range of areas including wireless communications, control theory, adaptive filtering, resource management and digital signal processing. Over 80 end-of-chapter exercises are provided, with a complete solutions manual available online.

Matrix Differential Calculus with Applications in Statistics and Econometrics

Download Matrix Differential Calculus with Applications in Statistics and Econometrics PDF Online Free

Author :
Publisher : John Wiley & Sons
ISBN 13 : 1119541166
Total Pages : 660 pages
Book Rating : 4.1/5 (195 download)

DOWNLOAD NOW!


Book Synopsis Matrix Differential Calculus with Applications in Statistics and Econometrics by : Jan R. Magnus

Download or read book Matrix Differential Calculus with Applications in Statistics and Econometrics written by Jan R. Magnus and published by John Wiley & Sons. This book was released on 2019-03-15 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brand new, fully updated edition of a popular classic on matrix differential calculus with applications in statistics and econometrics This exhaustive, self-contained book on matrix theory and matrix differential calculus provides a treatment of matrix calculus based on differentials and shows how easy it is to use this theory once you have mastered the technique. Jan Magnus, who, along with the late Heinz Neudecker, pioneered the theory, develops it further in this new edition and provides many examples along the way to support it. Matrix calculus has become an essential tool for quantitative methods in a large number of applications, ranging from social and behavioral sciences to econometrics. It is still relevant and used today in a wide range of subjects such as the biosciences and psychology. Matrix Differential Calculus with Applications in Statistics and Econometrics, Third Edition contains all of the essentials of multivariable calculus with an emphasis on the use of differentials. It starts by presenting a concise, yet thorough overview of matrix algebra, then goes on to develop the theory of differentials. The rest of the text combines the theory and application of matrix differential calculus, providing the practitioner and researcher with both a quick review and a detailed reference. Fulfills the need for an updated and unified treatment of matrix differential calculus Contains many new examples and exercises based on questions asked of the author over the years Covers new developments in field and features new applications Written by a leading expert and pioneer of the theory Part of the Wiley Series in Probability and Statistics Matrix Differential Calculus With Applications in Statistics and Econometrics Third Edition is an ideal text for graduate students and academics studying the subject, as well as for postgraduates and specialists working in biosciences and psychology.

Matrix Derivatives

Download Matrix Derivatives PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 234 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!


Book Synopsis Matrix Derivatives by : Gerald Stanley Rogers

Download or read book Matrix Derivatives written by Gerald Stanley Rogers and published by . This book was released on 1980 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Matrix Methods And Fractional Calculus

Download Matrix Methods And Fractional Calculus PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9813227540
Total Pages : 291 pages
Book Rating : 4.8/5 (132 download)

DOWNLOAD NOW!


Book Synopsis Matrix Methods And Fractional Calculus by : Arak M Mathai

Download or read book Matrix Methods And Fractional Calculus written by Arak M Mathai and published by World Scientific. This book was released on 2017-11-10 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advances in Automatic Differentiation

Download Advances in Automatic Differentiation PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3540689427
Total Pages : 366 pages
Book Rating : 4.5/5 (46 download)

DOWNLOAD NOW!


Book Synopsis Advances in Automatic Differentiation by : Christian H. Bischof

Download or read book Advances in Automatic Differentiation written by Christian H. Bischof and published by Springer Science & Business Media. This book was released on 2008-08-17 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fifth International Conference on Automatic Differentiation held from August 11 to 15, 2008 in Bonn, Germany, is the most recent one in a series that began in Breckenridge, USA, in 1991 and continued in Santa Fe, USA, in 1996, Nice, France, in 2000 and Chicago, USA, in 2004. The 31 papers included in these proceedings re?ect the state of the art in automatic differentiation (AD) with respect to theory, applications, and tool development. Overall, 53 authors from institutions in 9 countries contributed, demonstrating the worldwide acceptance of AD technology in computational science. Recently it was shown that the problem underlying AD is indeed NP-hard, f- mally proving the inherently challenging nature of this technology. So, most likely, no deterministic “silver bullet” polynomial algorithm can be devised that delivers optimum performance for general codes. In this context, the exploitation of doma- speci?c structural information is a driving issue in advancing practical AD tool and algorithm development. This trend is prominently re?ected in many of the pub- cations in this volume, not only in a better understanding of the interplay of AD and certain mathematical paradigms, but in particular in the use of hierarchical AD approaches that judiciously employ general AD techniques in application-speci?c - gorithmic harnesses. In this context, the understanding of structures such as sparsity of derivatives, or generalizations of this concept like scarcity, plays a critical role, in particular for higher derivative computations.

Sensitivity Analysis: Matrix Methods in Demography and Ecology

Download Sensitivity Analysis: Matrix Methods in Demography and Ecology PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3030105342
Total Pages : 308 pages
Book Rating : 4.0/5 (31 download)

DOWNLOAD NOW!


Book Synopsis Sensitivity Analysis: Matrix Methods in Demography and Ecology by : Hal Caswell

Download or read book Sensitivity Analysis: Matrix Methods in Demography and Ecology written by Hal Caswell and published by Springer. This book was released on 2019-04-02 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Recent Advances in Algorithmic Differentiation

Download Recent Advances in Algorithmic Differentiation PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642300235
Total Pages : 356 pages
Book Rating : 4.6/5 (423 download)

DOWNLOAD NOW!


Book Synopsis Recent Advances in Algorithmic Differentiation by : Shaun Forth

Download or read book Recent Advances in Algorithmic Differentiation written by Shaun Forth and published by Springer Science & Business Media. This book was released on 2012-07-30 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings represent the state of knowledge in the area of algorithmic differentiation (AD). The 31 contributed papers presented at the AD2012 conference cover the application of AD to many areas in science and engineering as well as aspects of AD theory and its implementation in tools. For all papers the referees, selected from the program committee and the greater community, as well as the editors have emphasized accessibility of the presented ideas also to non-AD experts. In the AD tools arena new implementations are introduced covering, for example, Java and graphical modeling environments or join the set of existing tools for Fortran. New developments in AD algorithms target the efficiency of matrix-operation derivatives, detection and exploitation of sparsity, partial separability, the treatment of nonsmooth functions, and other high-level mathematical aspects of the numerical computations to be differentiated. Applications stem from the Earth sciences, nuclear engineering, fluid dynamics, and chemistry, to name just a few. In many cases the applications in a given area of science or engineering share characteristics that require specific approaches to enable AD capabilities or provide an opportunity for efficiency gains in the derivative computation. The description of these characteristics and of the techniques for successfully using AD should make the proceedings a valuable source of information for users of AD tools.

Jacobians of Matrix Transformations and Functions of Matrix Argument

Download Jacobians of Matrix Transformations and Functions of Matrix Argument PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9789810230951
Total Pages : 452 pages
Book Rating : 4.2/5 (39 download)

DOWNLOAD NOW!


Book Synopsis Jacobians of Matrix Transformations and Functions of Matrix Argument by : A. M. Mathai

Download or read book Jacobians of Matrix Transformations and Functions of Matrix Argument written by A. M. Mathai and published by World Scientific. This book was released on 1997 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concentrates on the topic of evaluation of Jacobians in some specific linear as well as nonlinear matrix transformations, in the real and complex cases, which are widely applied in the statistical, physical, engineering, biological and social sciences. It aims to develop some techniques systematically so that anyone with a little exposure to multivariable calculus can easily follow the steps and understand the various methods by which the Jacobians in complicated matrix transformations are evaluated. The material is developed slowly, with lots of worked examples, aimed at self-study. Some exercises are also given, at the end of each section.The book is a valuable reference for statisticians, engineers, physicists, econometricians, applied mathematicians and people working in many other areas. It can be used for a one-semester graduate level course on Jacobians and functions of matrix argument.

Numerical Linear Algebra for Applications in Statistics

Download Numerical Linear Algebra for Applications in Statistics PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9780387985428
Total Pages : 244 pages
Book Rating : 4.9/5 (854 download)

DOWNLOAD NOW!


Book Synopsis Numerical Linear Algebra for Applications in Statistics by : James E. Gentle

Download or read book Numerical Linear Algebra for Applications in Statistics written by James E. Gentle and published by Springer Science & Business Media. This book was released on 1998-08-13 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accurate and efficient computer algorithms for factoring matrices, solving linear systems of equations, and extracting eigenvalues and eigenvectors. Regardless of the software system used, the book describes and gives examples of the use of modern computer software for numerical linear algebra. It begins with a discussion of the basics of numerical computations, and then describes the relevant properties of matrix inverses, factorisations, matrix and vector norms, and other topics in linear algebra. The book is essentially self- contained, with the topics addressed constituting the essential material for an introductory course in statistical computing. Numerous exercises allow the text to be used for a first course in statistical computing or as supplementary text for various courses that emphasise computations.

Matrix Algebra

Download Matrix Algebra PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387708731
Total Pages : 536 pages
Book Rating : 4.3/5 (877 download)

DOWNLOAD NOW!


Book Synopsis Matrix Algebra by : James E. Gentle

Download or read book Matrix Algebra written by James E. Gentle and published by Springer Science & Business Media. This book was released on 2007-08-06 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Extensions of the Dwyer-MacPhail matrix derivative calculus with applications to estimation problems involving errors-in-variables and errors-in-equations

Download Extensions of the Dwyer-MacPhail matrix derivative calculus with applications to estimation problems involving errors-in-variables and errors-in-equations PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 298 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!


Book Synopsis Extensions of the Dwyer-MacPhail matrix derivative calculus with applications to estimation problems involving errors-in-variables and errors-in-equations by : William J. Wrobleski

Download or read book Extensions of the Dwyer-MacPhail matrix derivative calculus with applications to estimation problems involving errors-in-variables and errors-in-equations written by William J. Wrobleski and published by . This book was released on 1963 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Matrix Differential Calculus with Applications in Statistics and Econometrics

Download Matrix Differential Calculus with Applications in Statistics and Econometrics PDF Online Free

Author :
Publisher : John Wiley & Sons
ISBN 13 : 1119541190
Total Pages : 501 pages
Book Rating : 4.1/5 (195 download)

DOWNLOAD NOW!


Book Synopsis Matrix Differential Calculus with Applications in Statistics and Econometrics by : Jan R. Magnus

Download or read book Matrix Differential Calculus with Applications in Statistics and Econometrics written by Jan R. Magnus and published by John Wiley & Sons. This book was released on 2019-03-15 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brand new, fully updated edition of a popular classic on matrix differential calculus with applications in statistics and econometrics This exhaustive, self-contained book on matrix theory and matrix differential calculus provides a treatment of matrix calculus based on differentials and shows how easy it is to use this theory once you have mastered the technique. Jan Magnus, who, along with the late Heinz Neudecker, pioneered the theory, develops it further in this new edition and provides many examples along the way to support it. Matrix calculus has become an essential tool for quantitative methods in a large number of applications, ranging from social and behavioral sciences to econometrics. It is still relevant and used today in a wide range of subjects such as the biosciences and psychology. Matrix Differential Calculus with Applications in Statistics and Econometrics, Third Edition contains all of the essentials of multivariable calculus with an emphasis on the use of differentials. It starts by presenting a concise, yet thorough overview of matrix algebra, then goes on to develop the theory of differentials. The rest of the text combines the theory and application of matrix differential calculus, providing the practitioner and researcher with both a quick review and a detailed reference. Fulfills the need for an updated and unified treatment of matrix differential calculus Contains many new examples and exercises based on questions asked of the author over the years Covers new developments in field and features new applications Written by a leading expert and pioneer of the theory Part of the Wiley Series in Probability and Statistics Matrix Differential Calculus With Applications in Statistics and Econometrics Third Edition is an ideal text for graduate students and academics studying the subject, as well as for postgraduates and specialists working in biosciences and psychology.

Advanced Multivariate Statistics with Matrices

Download Advanced Multivariate Statistics with Matrices PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1402034199
Total Pages : 503 pages
Book Rating : 4.4/5 (2 download)

DOWNLOAD NOW!


Book Synopsis Advanced Multivariate Statistics with Matrices by : Tõnu Kollo

Download or read book Advanced Multivariate Statistics with Matrices written by Tõnu Kollo and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents important tools and techniques for treating problems in m- ern multivariate statistics in a systematic way. The ambition is to indicate new directions as well as to present the classical part of multivariate statistical analysis in this framework. The book has been written for graduate students and statis- cians who are not afraid of matrix formalism. The goal is to provide them with a powerful toolkit for their research and to give necessary background and deeper knowledge for further studies in di?erent areas of multivariate statistics. It can also be useful for researchers in applied mathematics and for people working on data analysis and data mining who can ?nd useful methods and ideas for solving their problems. Ithasbeendesignedasatextbookforatwosemestergraduatecourseonmultiva- ate statistics. Such a course has been held at the Swedish Agricultural University in 2001/02. On the other hand, it can be used as material for series of shorter courses. In fact, Chapters 1 and 2 have been used for a graduate course ”Matrices in Statistics” at University of Tartu for the last few years, and Chapters 2 and 3 formed the material for the graduate course ”Multivariate Asymptotic Statistics” in spring 2002. An advanced course ”Multivariate Linear Models” may be based on Chapter 4. A lot of literature is available on multivariate statistical analysis written for di?- ent purposes and for people with di?erent interests, background and knowledge.

Generalized Vectorization, Cross-Products, and Matrix Calculus

Download Generalized Vectorization, Cross-Products, and Matrix Calculus PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 1107032008
Total Pages : 281 pages
Book Rating : 4.1/5 (7 download)

DOWNLOAD NOW!


Book Synopsis Generalized Vectorization, Cross-Products, and Matrix Calculus by : Darrell A. Turkington

Download or read book Generalized Vectorization, Cross-Products, and Matrix Calculus written by Darrell A. Turkington and published by Cambridge University Press. This book was released on 2013-02-11 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the mathematics behind matrix calculus and the applications of matrix calculus in statistics and econometrics.

Kronecker Products and Matrix Calculus with Applications

Download Kronecker Products and Matrix Calculus with Applications PDF Online Free

Author :
Publisher : Courier Dover Publications
ISBN 13 : 0486831205
Total Pages : 145 pages
Book Rating : 4.4/5 (868 download)

DOWNLOAD NOW!


Book Synopsis Kronecker Products and Matrix Calculus with Applications by : Alexander Graham

Download or read book Kronecker Products and Matrix Calculus with Applications written by Alexander Graham and published by Courier Dover Publications. This book was released on 2018-06-13 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Enhanced by many worked examples, problems, and solutions, this in-depth text is suitable for undergraduates and presents a great deal of information previously only available in specialized and hard-to-find texts. 1981 edition.

Tensor Calculus for Physics

Download Tensor Calculus for Physics PDF Online Free

Author :
Publisher : JHU Press
ISBN 13 : 142141564X
Total Pages : 244 pages
Book Rating : 4.4/5 (214 download)

DOWNLOAD NOW!


Book Synopsis Tensor Calculus for Physics by : Dwight E. Neuenschwander

Download or read book Tensor Calculus for Physics written by Dwight E. Neuenschwander and published by JHU Press. This book was released on 2015 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is an ideal companion for courses such as mathematical methods of physics, classical mechanics, electricity and magnetism, and relativity.--Gary White, editor of The Physics Teacher "American Journal of Physics"

Kronecker Products and Matrix Calculus with Applications

Download Kronecker Products and Matrix Calculus with Applications PDF Online Free

Author :
Publisher : Courier Dover Publications
ISBN 13 : 0486824179
Total Pages : 145 pages
Book Rating : 4.4/5 (868 download)

DOWNLOAD NOW!


Book Synopsis Kronecker Products and Matrix Calculus with Applications by : Alexander Graham

Download or read book Kronecker Products and Matrix Calculus with Applications written by Alexander Graham and published by Courier Dover Publications. This book was released on 2018-06-13 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Enhanced by many worked examples, problems, and solutions, this in-depth text is suitable for undergraduates and presents a great deal of information previously only available in specialized and hard-to-find texts. 1981 edition.