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Articles

Maximizing the numerical radii of matrices by permuting their entriesFootnote

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Pages 579-594 | Received 14 Sep 2012, Accepted 23 Nov 2012, Published online: 23 Jan 2013

References

  • Gustafson KE, Rao DKM. Numerical range: the field of values of linear operators and matrices. New York (NY): Springer; 1996.
  • Halmos PR. A Hilbert space problem book. New York (NY): Springer; 1982.
  • Horn RA, Johnson CR. Topics in matrix analysis. Cambridge: Cambridge University Press; 1991.
  • Tsai MC. Numerical ranges of weighted shift matrices with periodic weights. Linear Algebra Appl. 2011;435:2296–2302.
  • Tsai MC, Wu PY. Numerical ranges of weighted shift matrices. Linear Algebra Appl. 2011;435:243–254.
  • Wang KZ, Wu PY. Numerical ranges of wighted shifts. J. Math. Anal. Appl. 2011;381:897–909.
  • Chang CT, Wang KZ. Maximizing numerical radii of weighted shifts under weight permutation. J. Math. Anal. Appl. 2012;394:592–602.
  • Marcus M, Shure BN. The numerical range of certain (0,1)-matrices. Linear Multilinear A. 1979;7:111–120.
  • Cheung WS, Li CK, Olesky DD, Driessche P. Optimizing quadratic forms of adjacency matrices of trees and related eigenvalue problems Linear Algebra Appl. 2001;325:191–207.
  • Ashbaugh MS, Benguria RD. Some eigenvalue inequalities for a class of Jacobi matrices. Linear Algebra Appl. 1990;136:215–234.
  • Fiedler M. Complementary basic matrices. Linear Algebra Appl. 2004;384:199–206.
  • Fiedler M, Hall FJ. Some inheritance properties for complementary basic matrices. Linear Algebra Appl. 2010;433:2060–2069.

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