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Abstract: A Hankel matrix (or persymmetric matrix) is a matrix (a ij ) in which for every r the entries on the diagonal i + j = r are the same, i.e., a i,r-i = c r for some c r . For a sequence c 0 , c 1 , c 2 , . . . of real numbers we consider the collection of Hankel matrices n , k = 0, 1, . . ., n = 1, 2, . . ., where # # # # # . . . . . . . . . . . . # # # # # . (1) So the parameter n denotes the size of the matrix and the 2n 1 successive elements c k , c k+1 , . . . , c k+2n-2 occur in the... (Update)
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BibTeX entry: (Update)
U. Tamm, "Hankel matrices in coding theory and combinatorics", Preprint 00-055, SFB 343 "Diskrete Strukturen in der Mathematik", Univ. of Bielefeld, July 2000. http://citeseer.ist.psu.edu/tamm00hankel.html More
@techreport{ tamm00hankel,
author = "U. Tamm",
title = "{H}ankel matrices in coding theory and combinatorics",
number = "00-055",
institution = "SFB 343 Diskrete Strukturen in der Mathematik, Univ. of Bielefeld",
month = jul,
year = "2000",
url = "citeseer.ist.psu.edu/tamm00hankel.html" }
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80 An Introduction to Combinatorial Analysis (context) - Riordan - 1958
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53 The Chebyshev Polynomials (context) - Rivlin - 1974
18 Proof of the alternating sign matrix conjecture - Zeilberger - 1996
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10 Essai experimental et analytique sur les lois de la dilatabi.. (context) - Prony
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9 The triangular decomposition of Hankel matrices (context) - Phillips - 1971
8 Proof of the refined alternating sign matrix conjecture - Zeilberger - 1996
8 Motzkin numbers (context) - Aigner - 1998
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7 A simple derivation of the Berlekamp -- Massey algorithm and.. (context) - Imamura, Yoshida - 1987
7 Continued fractions and Berlekamp's algorithm (context) - Welch, Scholtz - 1979
6 A simple Hankel interpretation of the Berlekamp -- Massey al.. (context) - Jonckheere, Ma - 1989
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5 A class of error--correcting codes in p symbols (context) - Gorenstein, Zierler - 1961
5 Dodgson's determinant--evaluation rule proved by TWO--TIMING.. - Zeilberger - 1997
5 Binomial determinants, paths and hook length formulae (context) - Gessel, Viennot - 1985
4 A fast method to diagonalize a Hankel matrix (context) - Boley, Luk et al. - 1998
4 Proofs and Confirmations (context) - Bressoud - 1999
4 Two--error correcting Bose-- Chaudhuri codes are quasi--perf.. (context) - Gorenstein, Peterson et al. - 1960
4 A determinant property of Catalan numbers (context) - Mays, Wojciechowski - 2000
4 Solution of linear equation with Hankel and Toeplitz matrice.. (context) - Rissanen - 1974
4 A characterization of the Bell numbers (context) - Aigner - 1999
2 The Lanczos algorithm and Hankel matrix factoriztion (context) - Boley, Lee et al. - 1992
2 Encoding and error--corection procedures for the Bose--Chaud.. (context) - Peterson - 1960
2 Binomial--Determinanten und Gitterwege (context) - Aigner - 1996
2 Enumeration of certain Young tableaux with bounded height (context) - Desainte-Catherine, Viennot
1 Chemins sous -- diagonaux et tableaux de Young (context) - Gouyou-Beauchamps
1 Path systems in acyclic directed graphs (context) - Gronau, Just et al. - 1987
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