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Matrix Differential CalculusJan R. Magnus and Heinz Neudecker John Wiley and Sons, 1988 - Linear StructuresJan R. Magnus Charles Griffin and Co., 1988

Published online by Cambridge University Press:  18 October 2010

D.S.G. Pollock
Affiliation:
Queen Mary College, University of London

Abstract

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Type
Book Reviews
Copyright
Copyright © Cambridge University Press 1989

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References

REFERENCES

1.Anderson, T.W.Introduction to multivariate statistical analysis. New York: John Wiley & Sons, 1958.Google Scholar
2.Balestra, P.La dérivation matricielle. Paris: Sirey, 1976.Google Scholar
3.Bourbaki, N.Algèbre multilinéaire. In Eléments de Mathématique, Chapter 3, Book II (Algèbre). Paris: Herman, 1958.Google Scholar
4.Dwyer, P.S.Some applications of matrix derivatives in multivariate analysis. Journal of the American Statistical Association 62 (1967): 607625.CrossRefGoogle Scholar
5.Dwyer, P.S. & MacPhail, M.S.. Symbolic matrix derivatives. Annals of Mathematical Statistics 19 (1948): 517534.CrossRefGoogle Scholar
6.Graham, A.Kronecker products and matrix calculus with applications. Chichester: Ellis Horwood, 1981.Google Scholar
7.Greub, W.H.Multilinear algebra. Berlin: Springer, 1967.CrossRefGoogle Scholar
8.Henderson, H.V. & Searle, S.R., vec and vech operators for matrices, with some uses in Jacobians and multivariate statistics. Canadian Journal of Statistics 7 (1979): 6581.CrossRefGoogle Scholar
9.Henderson, H.V. & Searle, S.R.. The vec-permutation matrix, the vec operator, and Kronecker products: a review. Linear and Multilinear Algebra 9 (1981): 271288.CrossRefGoogle Scholar
10.Hood, W.C. & Koopmans, T.C. (eds.). Studies in Econometric Method, Monograph No. 14, Cowles Foundation for Research in Economics. New Haven: Yale University Press, 1953.Google Scholar
11.Koopmans, T.C. (ed.). Statistical Inference in Dynamic Economic Models, Monograph No. 10, Cowles Foundation for Research in Economics. New York: John Wiley & Sons, 1950.Google Scholar
12.Koopmans, T.C., Rubin, H. & Leipnik, R.B.. Measuring the equation systems of dynamic economics. In Koopmans, T.C. (ed.), Statistical Inference in Dynamic Economic Models, Chapter 2, Monograph No. 10, Cowles Foundation for Research in Economics. New York: John Wiley & Sons, 1950.Google Scholar
13.MacRae, E.C.Matrix derivatives with an application to an adaptive linear decision problem. Annals of Statistics 2 (1974): 337346.CrossRefGoogle Scholar
14.Magnus, J.R.Linear structures. London: Charles Griffin & Co., 1988.Google Scholar
15.Magnus, J.R. & Neudecker, H.. Matrix differential calculus. Chichester: John Wiley & Sons, 1988.Google Scholar
16.Marcus, M.Finite-dimensional multilinear algebra: Part I. New York: Marcel Dekker, 1973.Google Scholar
17.Nel, D.G.On matrix differentiation in statistics. South African Statistical Journal 14 (1980): 137194.Google Scholar
18.Pollock, D.S.G.Tensor products and matrix differential calculus. Linear Algebra and its Applications 67 (1985): 169193.CrossRefGoogle Scholar
19.Rao, C.R.Linear statistical inference and its applications. New York: John Wiley & Sons, Inc., 1965.Google Scholar
20.Rogers, G.S.Matrix derivatives. New York: Marcel Dekker, 1980.Google Scholar