Matrix Algebra and Its Applications to S

Matrix Algebra and Its Applications to S
2 019,- 2 019,-
Format E-Bok
Filformat PDF
Utgivelsesår 1998
Forlag World Scientific Publishing Co
Språk Engelsk
ISBN 9789812779281
Sider 556
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Om Matrix Algebra and Its Applications to S

Written by two top statisticians with experience in teaching matrix methods for applications in statistics, econometrics and related areas, this book provides a comprehensive treatment of the latest techniques in matrix algebra. A well-balanced approach to discussing the mathematical theory and applications to problems in other areas is an attractive feature of the book. It can be used as a textbook in courses on matrix algebra for statisticians, econometricians and mathematicians as well. Some of the new developments of linear models are given in some detail using results of matrix algebra.Contents:Vector SpacesUnitary and Euclidean SpacesLinear Transformations and MatricesCharacteristics of MatricesFactorization of MatricesOperations on MatricesProjectors and Idempotent OperatorsGeneralized InversesMajorizationInequalities for EigenvaluesMatrix ApproximationsOptimization Problems in Statistics and EconometricsQuadratic SubspacesInequalities with Applications in StatisticsNon-negative MatricesMiscellaneous ComplementsReadership: Graduate students, researchers and scientists in economics, biology, engineering and physics.Key Features: Novelty: there is no book covering the principal research topics included in this workExtension: other works give detailed accounts of the basic features of spaces of variable exponents. Our book provides a natural extension to the realm of differential operators on those spacesDepth: new insights are given into differential operators in spaces of variable exponents. In particular, the book will contain novel material on the stability of eigenvalues that has been developed very recently


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