Abstract
A real square matrix C is called almost skew symmetric if C = S + A where S is a rank one real symmetric matrix and A is a real skew symmetric matrix. We shall show that the real eigenvalues of almost skew symmetric matrices satisfy remarkable inequalities. We shall apply these and other inequalities to estimate the spectral radii of the tournament matrices.
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© 1993 Springer-Verlag New York, Inc.
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Friedland, S. (1993). Eigenvalues of Almost Skew Symmetric Matrices and Tournament Matrices. In: Brualdi, R.A., Friedland, S., Klee, V. (eds) Combinatorial and Graph-Theoretical Problems in Linear Algebra. The IMA Volumes in Mathematics and its Applications, vol 50. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8354-3_10
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DOI: https://doi.org/10.1007/978-1-4613-8354-3_10
Publisher Name: Springer, New York, NY
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