Abstract
It is shown that there exists ann×n matrix all of whose eigenvalues and off-diagonal elements are prescribed. The number of such matrices is finite.
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D. London and H. Minc,Eigenvalues of matrices with prescribed entries, Technion Preprint, MT-80, May 1971.
L. Mirsky,Matrices with prescribed characteristic roots and diagonal elements, J. London Math. Soc.33 (1958), 14–21.
G. N. de Oliveira,A conjecture and some problems on permanents, Pacific J. Math.32 (1970), 495–499.
I. Schur,Über endliche gruppen und hermitesche formen, Math. Z.1 (1918), 184–201.
Van der Waerden,Modern Algebra, Vol. II, Fredrick Ungar Publishing Co., 1950.
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Friedland, S. Matrices with prescribed off-diagonal elements. Israel J. Math. 11, 184–189 (1972). https://doi.org/10.1007/BF02762620
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DOI: https://doi.org/10.1007/BF02762620