Disconjugacy of symplectic systems and positive definiteness of block tridiagonal matrices

DOI10.1216/rmjm/1181070409zbMath0956.39010OpenAlexW1967062248MaRDI QIDQ1567147

Roman Šimon Hilscher

Publication date: 12 March 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL29-4/CONT29-4/CONT29-4.html

zbMATH Keywords

positive definitenessSturm-Liouville difference equationsymplectic systemdisconjugacylinear Hamiltonian difference systemsymmetric block tridiagonal matrix

Mathematics Subject Classification ID

Related Items (12)

Symplectic difference systems: Variable stepsize discretization and discrete quadratic functionals ⋮ A Sturmian separation theorem for symplectic difference systems ⋮ Nonnegativity and positivity of quadratic functionals in discrete calculus of variations: survey ⋮ Coupled intervals for discrete symplectic systems ⋮ Nonnegativity of discrete quadratic functionals corresponding to symplectic difference systems. ⋮ Singular comparison theorems for discrete symplectic systems ⋮ Disconjugacy and C-disfocality of second-order self-adjoint difference equation ⋮ Riccati inequality and other results for discrete symplectic systems ⋮ Nonnegativity of a discrete quadratic functional in terms of the (strengthened) Legendre and Jacobi conditions ⋮ A remark on focal points of recessive solutions of discrete symplectic systems ⋮ Coupled intervals in the discrete calculus of variations: necessity and sufficiency ⋮ Discrete Optimal Control: Second Order Optimality Conditions

Cites Work

• Disconjugacy and transformations for symplectic systems
• Linear Hamiltonian difference systems: Disconjugacy and Jacobi-type conditions
• Positivity of Block Tridiagonal Matrices
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