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Title of Journal: Positivity

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Abbravation: Positivity

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Birkhäuser-Verlag

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DOI

10.1016/j.ajog.2004.05.076

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1572-9281

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Pentadiagonal Oscillatory Matrices with Two Spectr

Authors: Kazem Ghanbari
Publish Date: 2006/07/11
Volume: 10, Issue: 4, Pages: 721-729
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Abstract

We denote the spectrum of an square matrix A by σA and that of the matrix obtained by deleting the first i rows and columns of A by σ i A It is known that a symmetric pentadiagonal oscillatory SPO matrix may be constructed from σ σ1 and σ2 The pairs σ σ1 and σ1 σ2 must interlace the construction is not unique and the conditions on the data which ensure that A is oscillatory are extremely complicated Given one SPO matrix A the paper shows that operations may be applied to A to construct a family of such matrices with σ and σ1 in common Moreover given one totally positive TP matrix A we construct a family of TP matrices with σ σ1 and σ2 in common


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Other Papers In This Journal:

  1. Order-unit-metric spaces
  2. The Radon–Nikodym Property for Tensor Products of Banach Lattices
  3. Odd Degree Polynomials on Real Banach Spaces
  4. Positive bases in spaces of polynomials
  5. Regular orbits and positive directions
  6. Semicontinuity of the solution set to a parametric generalized strong vector equilibrium problem
  7. A new application of non-increasing sequences
  8. On the lower semicontinuity of the solution mappings to a parametric generalized strong vector equilibrium problem
  9. A class of $$\ell ^p$$ saturated Banach spaces
  10. On the Structure of the Completion of a Normed Lattice
  11. Domination by ergodic elements in ordered Banach algebras
  12. The essential spectral radius of Volterra operators and an application to Volterra-Hammerstein functional inclusions
  13. An iterative algorithm for finding a common solution of fixed points and a general system of variational inequalities for two inverse strongly accretive operators
  14. Perturbation of Transition Functions and a Feynman-Kac Formula for the Incorporation of Mortality
  15. Statistical approximation by double sequences of positive linear operators on modular spaces
  16. Modules and extremal completely positive maps
  17. Positive solutions of semi-positone nonlinear operator equations in Banach spaces with lattice structure
  18. A characterization of positively decomposable non-linear maps between Banach lattices
  19. Positive solutions for fractional differential systems with nonlocal Riemann–Liouville fractional integral boundary conditions
  20. Coupled coincidence point results on generalized distance in ordered cone metric spaces

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