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Some Aspects of Hankel Matrices in Coding Theory and Combinatorics - Tamm (2001) (2 citations) (Correct)
....1 c 2 . c n 1 c 1 c 2 c 3 . c n c 2 c 3 c 4 . c n 1 . c n 1 c n c n 1 . c 2n 2 # # # # # # # # # # # # # # a n,0 a n,1 a n,2 . a n,n 1 # # # # # # # = # # # # # # # c n c n 1 c n 2 . c 2n 1 # # # # # # # . 1. 7) It is known (cf. [16], p. 246) that, if the matrices A (0) n are nonsingular for all n, then the polynomials t j (x) x j a j,j 1 x j 1 a j,j 2 x j 2 . a j,1 x a j,0 (1.8) form a sequence of monic orthogonal polynomials with respect to the linear operator T mapping x l to its moment T (x l ) c l ....
....of Dodgson s algorithm in order to evaluate the determinant of an n n matrix. Reverend Charles Lutwidge Dodgson, who worked as a mathematician at the Christ College at the University of Oxford is much wider known as Lewis Carroll, the author of [18] His algorithm, which is presented in [16], pp. 113 115, is based on the following identity for any matrix ( 25] for a combinatorial proof see [82] det ( a i,j ) i,j=1, n ) det ( a i,j ) i,j=2, n 1 ) det( a i,j ) i,j=1, n 1 ) det ( a i,j ) i,j=2, n ) det ( a i,j ) i=1, n 1,j=2, n ) det ( a i,j ) ....
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D. M. Bressoud, Proofs and Confirmations, Cambridge Univ. Press, 1999.
Weighted Aztec Diamond Graphs and the Weyl Character Formula - Georgia Benkart Department (Correct)
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D.M. Bressoud, Proofs and Confirmations, Cambridge Univ. Press, Cambridge U.K. 1999.
Hankel Matrices in Coding Theory and Combinatorics - Tamm (2000) (Correct)
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D. M. Bressoud, Proofs and Confirmations, Cambridge Univ. Press, 1999.
Some Aspects of Hankel Matrices in Coding Theory and Combinatorics - Tamm (2001) (2 citations) (Correct)
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D. M. Bressoud, Proofs and Confirmations, Cambridge Univ. Press, 1999.
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