Jacobians of matrix transformations and functions of matrix argument
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Bibliographic Information
Jacobians of matrix transformations and functions of matrix argument
World Scientific, c1997
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Includes bibliographical references and indexes
Description and Table of Contents
Description
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.
Table of Contents
- Jacobians of matrix transformations
- Jacobians in orthogonal and related transformations
- Jacobians in the complex case
- transformations involving Eigenvalues and unitary matrices
- some special functions of matrix argument
- functions of matrix argument in the complex case.
by "Nielsen BookData"
