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A new matrix product and its applications in partitioned matrix differentiation

1972; Wiley; Volume: 26; Issue: 4 Linguagem: Inglês

10.1111/j.1467-9574.1972.tb00199.x

1467-9574

Derrick S. Tracy, Rana Pratap Singh,

Sensory Analysis and Statistical Methods

Statistica NeerlandicaVolume 26, Issue 4 p. 143-157 A new matrix product and its applications in partitioned matrix differentiation Derrick S. Tracy, Derrick S. Tracy *Derrick S. Tracy is Professor of Mathematics and Rana P. Singh, Graduate Assistant, at the University of Windsor. Research for this article was supported (in part) by Defence Research Board of Canada, Grant 9540–15.Search for more papers by this authorRana P. Singh, Rana P. Singh *Derrick S. Tracy is Professor of Mathematics and Rana P. Singh, Graduate Assistant, at the University of Windsor. Research for this article was supported (in part) by Defence Research Board of Canada, Grant 9540–15.Search for more papers by this author Derrick S. Tracy, Derrick S. Tracy *Derrick S. Tracy is Professor of Mathematics and Rana P. Singh, Graduate Assistant, at the University of Windsor. Research for this article was supported (in part) by Defence Research Board of Canada, Grant 9540–15.Search for more papers by this authorRana P. Singh, Rana P. Singh *Derrick S. Tracy is Professor of Mathematics and Rana P. Singh, Graduate Assistant, at the University of Windsor. Research for this article was supported (in part) by Defence Research Board of Canada, Grant 9540–15.Search for more papers by this author First published: December 1972 https://doi.org/10.1111/j.1467-9574.1972.tb00199.xCitations: 56AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat References Fisk, P. R., Stochastically Dependent Equations. London : Charles Griffin and Company, 1967. Google Scholar Koopmans, T. C., Statistical Inference in Dynamic Economic Models. Cowles Commission for Research in Economics, Monograph No. 10. New York : John Wiley and Sons, 1950. Web of Science®Google Scholar Neudecker, H., On matrix procedures for optimizing differentiable scalar functions of matrices. Statistica Neerlandica 21 (1967) >101–107. 10.1111/j.1467-9574.1967.tb00550.x Google Scholar Neudecker, H., The Kronecker matrix product and some of its applications in econometrics. Statistica Neerlandica 22 (1968) >69–82. 10.1111/j.1467-9574.1960.tb00619.x Google Scholar Neudecker, H., Some theorems on matrix differentiation with special reference to Kronecker matrix products. Journal of the American Statistical Association 64 (September 1969) >953–963. Web of Science®Google Scholar Rothenberg, T. J. and C. T. Leenders, Efficient estimation of simultaneous equation systems. Econometrica 32 (1964) >57–76. 10.2307/1913734 Web of Science®Google Scholar Tracy, D. S. and P. S. Dwyer, Multivariate maxima and minima with matrix derivatives. Journal of the American Statistical Association 64 (December 1969) >1576–1594. 10.1080/01621459.1969.10501078 Web of Science®Google Scholar Citing Literature Volume26, Issue4December 1972Pages 143-157 ReferencesRelatedInformation