References
- Brauer , A and Mewborn , AC . 1959 . The greatest distance between two characteristic roots of a matrix . Duke Math. J. , 26 : 653 – 661 .
- Finke , G , Burkard , RE and Rendl , F . 1987 . Quadratic assignment problems . Ann. Discrete Math. , 31 : 61 – 82 .
- Horn , RA and Johnson , CR . 2005 . Matrix Analysis , Cambridge : Cambridge University Press .
- Johnson , CR , Kumar , R and Wolkowicz , H . 1985 . Lower bounds for the spread . Linear Algebra Appl. , 71 : 161 – 173 .
- Marcus , M and Minc , H . 1964 . A survey of matrix theory and matrix inequalities , New York : Dover .
- Mirsky , L . 1956 . The spread of a matrix . Mathematika , 3 : 127 – 130 .
- Mirsky , L . 1957 . Inequalities for normal and Hermitian matrices . Duke Math. J. , 24 : 591 – 599 .
- Nylen , P and Tam , T-Y . 1994 . On the spread of a Hermitian matrix and a conjecture of Thompson . Linear Multilinear Algebra , 37 : 3 – 11 .
- Petrović , MM . 1983 . On graphs whose spectral spread does not exceed 4 . Publ. Inst. Math. , 34 : 169 – 174 .
- Thompson , RC . 1992 . The eigenvalue spreads of a Hermitian matrix and its principal submatrices . Linear Multilinear Algebra , 32 : 327 – 333 .
- Wolkowicz , H and Styan , GPH . 1980 . Bounds for eigenvalues using traces . Linear Algebra Appl. , 29 : 471 – 506 .
- Wolkowicz , H and Styan , GPH . 1980 . More bounds for eigenvalues using traces . Linear Algebra Appl. , 31 : 1 – 17 .
- Xing , Y-J . 2011 . “ On the spread of certain normal matrices ” . In Doctoral thesis , University of Regina .
- Zhan , X . 2006 . Extremal eigenvalues of real symmetric matrices with entries in an interval . SIAM J. Matrix Anal. Appl. , 27 : 851 – 860 .