On a conjecture of He concerning the spectral reconstruction of matrices
Journal of Algebraic Combinatorics, Tome 30 (2009) no. 3, pp. 311-321.

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Summary: This paper is concerned with a recent conjecture of He (Electron. J. Comb. $14(1), 2007)$ on the spectral reconstruction of matrices. A counterexample is provided by using Hadamard matrices. We also give some results to the above mentioned conjecture (with slight modifications) in the positive direction.
Keywords: keywords reconstruction, Hadamard matrix
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     author = {Wang, Wei and Xu, Zongben},
     title = {On a conjecture of {He} concerning the spectral reconstruction of matrices},
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Wang, Wei; Xu, Zongben. On a conjecture of He concerning the spectral reconstruction of matrices. Journal of Algebraic Combinatorics, Tome 30 (2009) no. 3, pp. 311-321. http://geodesic.mathdoc.fr/item/JAC_2009__30_3_a4/