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SOME RESULTS ON KRONECKER PRODUCTS AND COMMUTATION MATRICES

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초록

There are a lot of unsolved problems or issues regarding Kronecker products, vec-operator and Commutation matrices. We derived further properties and results of Kronecker products, vec-operator and Commutation Matrices.

Abstract

There are a lot of unsolved problems or issues regarding Kronecker products, vec-operator and Commutation matrices. We derived further properties and results of Kronecker products, vec-operator and Commutation Matrices.

참고문헌 (4)

  1. J. R. Magnus, "The Commutation Matrix: Some Properties and Ap- plications", Ann. Statist, 7(2), pp.381~383 (1979)
  2. H. Neudecker, "Some Results on Commutation Matrices, with Statis- tical Applications", Canad. J. Statist, 11(3), pp.221~231 (1983)
  3. H. Neudecker, "Fourth -Order Properties of Normally Distributed Ran- dom Matrices", Linear Alg. Appl, 97, pp.13~21 (1987)
  4. D. S. Tracy, "Third Moment of Matrix Quadratic Form", Statist. Prob. Letters, 16, pp.71~76 (1993)

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