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@article{697292,
author = {Hilscher, Roman and Zeidan, Vera},
article_location = {USA},
article_number = {2-3},
keywords = {Discrete symplectic system; Quadratic functional; Nonnegativity; Positivity; Coupled interval; Conjugate interval; Conjoined basis},
language = {eng},
issn = {0024-3795},
journal = {Linear Algebra and its Applications},
title = {Coupled intervals for discrete symplectic systems},
volume = {419},
year = {2006}
}
TY - JOUR
ID - 697292
AU - Hilscher, Roman - Zeidan, Vera
PY - 2006
TI - Coupled intervals for discrete symplectic systems
JF - Linear Algebra and its Applications
VL - 419
IS - 2-3
SP - 750-764
EP - 750-764
PB - Elsevier Science
SN - 00243795
KW - Discrete symplectic system
KW - Quadratic functional
KW - Nonnegativity
KW - Positivity
KW - Coupled interval
KW - Conjugate interval
KW - Conjoined basis
N2 - In this paper we introduce (strict) coupled intervals for discrete symplectic systems and characterize in terms of the nonexistence of such coupled intervals the definiteness of the associated discrete quadratic functional with variable endpoints. This (strict) coupled interval notion generalizes (i) the (strict) conjugate interval notion known for discrete variational problems with fixed right endpoint, and (ii) the (strict) coupled interval notion known for the special case of linear Hamiltonian systems. The applicability of this theory of coupled intervals is clearly illustrated by a numerical example emanating from a nonlinear discrete control problem.
ER -
HILSCHER, Roman a Vera ZEIDAN. Coupled intervals for discrete symplectic systems. \textit{Linear Algebra and its Applications}. USA: Elsevier Science, 2006, roč.~419, 2-3, s.~750-764. ISSN~0024-3795.
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