03239nam 22006852 450 991077943960332120160318120116.01-139-61118-61-107-23793-91-139-60936-X1-139-61304-91-139-61676-51-139-42440-81-139-62606-X1-283-87069-X1-139-62234-X(CKB)2550000000709574(EBL)1099947(OCoLC)828302639(SSID)ssj0000783337(PQKBManifestationID)11435678(PQKBTitleCode)TC0000783337(PQKBWorkID)10771206(PQKB)11196160(UkCbUP)CR9781139424400(MiAaPQ)EBC1099947(Au-PeEL)EBL1099947(CaPaEBR)ebr10634035(CaONFJC)MIL418319(PPN)261276646(EXLCZ)99255000000070957420120424d2013|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierGeneralized vectorization, cross-products, and matrix calculus /Darrell A. Turkington[electronic resource]Cambridge :Cambridge University Press,2013.1 online resource (xi, 267 pages) digital, PDF file(s)Title from publisher's bibliographic system (viewed on 24 Feb 2016).1-107-44872-7 1-107-03200-8 Includes bibliographical references and index.1. Mathematical prerequisites -- 2. Zero-one matrices -- 3. Elimination and duplication matrices -- 4. Matrix calculus -- 5. New matrix calculus results -- 6. Applications.This book presents the reader with new operators and matrices that arise in the area of matrix calculus. The properties of these mathematical concepts are investigated and linked with zero-one matrices such as the commutation matrix. Elimination and duplication matrices are revisited and partitioned into submatrices. Studying the properties of these submatrices facilitates achieving new results for the original matrices themselves. Different concepts of matrix derivatives are presented and transformation principles linking these concepts are obtained. One of these concepts is used to derive new matrix calculus results, some involving the new operators and others the derivatives of the operators themselves. The last chapter contains applications of matrix calculus, including optimization, differentiation of log-likelihood functions, iterative interpretations of maximum likelihood estimators and a Lagrangian multiplier test for endogeneity.Generalized Vectorization, Cross-Products, & Matrix CalculusMatricesVector analysisMatrices.Vector analysis.515/.63BUS021000bisacshTurkington Darrell A.266648UkCbUPUkCbUPBOOK9910779439603321Generalized vectorization, cross-products, and matrix calculus3817265UNINA