@Article{MURTY2011,
author="M. S. N. MURTY, D. ANJANEYULU, G. SURESH KUMAR",
title=" CONDITIONING OF THREE-POINT BOUNDARY VALUE PROBLEMS ASSOCIATED WITH FIRST ORDER MATRIX LYAPUNOV SYSTEMS",
year="2011",
volume="4",
number="2",
pages="115-125",
abstract="This paper deals with the study of conditioning for three-point
boundary value problems associated with first order matrix Lyapunov systems,
with the help of Kronecker product of matrices. Further, we obtain the close
relationship between the stability bounds of the problem on one hand , and
the growth behavior of the fundamental matrix solution on the other hand.",
issn="ISSN 2008-1901",
doi="10.22436/jnsa.004.02.03",
url="http://dx.doi.org/10.22436/jnsa.004.02.03"
}
@Article{Hoog1987,
author="F. R. De Hoog, R. M. M. Mattheije",
title="On dichotomy and well conditioning in boundary value problem",
journal="SIAM J. Numer. Anal.",
year="1987",
pages="89-105. ",
volume="24"
}
@Book{Graham1981,
author="A. Graham",
title="Kronecker Products and Matrix Calculus",
year="1981",
publisher="With Applications, Ellis Horwood Ltd.",
address="England"
}
@Article{Murty1990,
author="K. N. Murty, P. V. S. Lakshmi ",
title="On dichotomy and well-conditioning in two-point boundary value problems",
journal=" Applied Mathematics and Computations ",
year="1990",
pages="179-199. ",
volume="38"
}
@Article{Murty2003,
author="M. S. N. Murty, B. V. Appa Rao",
title="On conditioning for three-point boundary value problems",
journal="Indian Journal of Mathematics ",
year="2003",
pages="211-221. ",
volume="45"
}
@Article{Murty2004,
author="M. S. N. Murty, B. V. Appa Rao",
title="On two point boundary value problems for :X = AX + XB",
journal="J. Ultra Scientist of Physical Sciences ",
year="2004",
pages="223-227.",
volume="16"
}
@Article{Murty2006,
author="M. S. N. Murty, B. V. Appa Rao, G. Suresh Kumar",
title=" Controllability, observability and realizability of matrix Lyapunov systems",
journal="Bull. Korean. Math. Soc. ",
year="2006",
pages="149-159. ",
volume="43"
}
@Article{Murty2008,
author=" M. S. N. Murty, G. Suresh Kumar",
title="On dichotomy and conditioning for two-point boundary value problems associated with first order matrix Lyapunov systems",
journal="J. Korean Math. Soc. ",
year="2008",
pages="1361-1378.",
volume="45"
}