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Linear and Multilinear Algebra Volume 63, 2015 - Issue 2
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Articles

Principal powers of matrices with positive definite real part

Stephen DruryDepartment of Mathematics and Statistics, McGill University, Montreal, Canada.Correspondence[email protected]
Pages 296-301 | Received 24 Jul 2013, Accepted 04 Nov 2013, Published online: 14 Feb 2014

References

  • Drury SW. Fischer determinantal inequalities and Higham’s conjecture. Linear Algebra Appl. 2013;439:3129–3133.
  • Drury SW. A Fischer type determinantal inequality. Linear Multilinear Algebra. DOI: 10.1080/03081087.2013.832244.
  • Drury SW, Lin M. Singular value inequalities for matrices with numerical ranges in a sector, preprint.
  • Li C-K, Sze N. Determinantal and eigenvalue inequalities for matrices with numerical ranges in a sector, preprint. arXiv:1306.4916.
  • George A, Ikramov KhD, Kucherov AB. On the properties of accretive dissipative matrices. Math. Notes. 2005;77:767–776.
  • Choi M-D, Li C-K. Numerical ranges of the powers of an operator. J. Math. Anal. Appl. 2010;365:458–466.
  • Gradshteyn IS, Ryzhik IM. Tables of integrals, series and products. Academic Press; 1980.
  • Bhatia R. Positive definite matrices. Princeton University Press; 2007.

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