IJPAM: Volume 67, No. 4 (2011)
THE SCHUR COMPLEMENT IN AN ALGORITHM FOR
CALCULATION OF FOCAL POINTS OF CONJOINED
BASES OF SYMPLECTIC DIFFERENCE SYSTEMS
CALCULATION OF FOCAL POINTS OF CONJOINED
BASES OF SYMPLECTIC DIFFERENCE SYSTEMS
J. Elyseeva
, A. Bondarenko
Department of Applied Mathematics
Moscow State University of Technology
Vadkovskii Per. 3a, Moscow, 101472, RUSSIA
e-mail: elyseeva@mtu-net.ru
e-mail: boondarenko.aa@gmail.com



Moscow State University of Technology
Vadkovskii Per. 3a, Moscow, 101472, RUSSIA


Abstract. We present new results connecting the number of focal points of
conjoined bases of symplectic difference systems
and the negative
inertia index of the Schur complement
where a
symmetric matrix
is
associated with
and
We offer an algorithm for
computing eigenvalues of
-order discrete Sturm Liouville
eigenvalue problems based on discrete oscillation
theorems and results of this paper.
Received: January 31, 2011
AMS Subject Classification: 39A10
Key Words and Phrases: Shur complement, focal points, symplectic eigenvalue problems
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 67
Issue: 4