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This paper deals with the study of dichotomy and conditioning for two-point boundary value problems associated with first order matrix Lyapunov systems, with the help of Kronecker product of matrices. Further, we obtain close relationship between the stability bounds of the problem on one hand, and the growth behaviour of the fundamental matrix solution on the other hand.
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참고문헌 (9)
참고문헌 신청
A. Graham / 1981 / Kronecker Products and Matrix Calculus: with applications, Ellis Horwood Series in Mathematics and its Applications / Ellis Horwood Ltd., Chichester; Halsted Press [Jo
F. R. De Hoog / 1987 / On dichotomy and well conditioning in BVP / SIAM Journal on Numerical Analysis 24 (1) : 89 ~ 105
K. N. Murty / 1990 / On dichotomy and well-conditioning in two-point boundary-value problems / Applied Mathematics and Computation 38 (3) : 179 ~ 199
M. Lentini / 1985 / The close relationships between methods for solving two-point boundary value problems / SIAM Journal on Numerical Analysis 22 (2) : 280 ~ 309
M. S. N. Murty / 2003 / On conditioning for three-point boundary value problems / Indian Journal of Mathematics 45 (2) : 211 ~ 221
F. R. De Hoog / 1987 / On dichotomy and well conditioning in BVP / SIAM Journal on Numerical Analysis 24 (1) : 89 ~ 105
K. N. Murty / 1990 / On dichotomy and well-conditioning in two-point boundary-value problems / Applied Mathematics and Computation 38 (3) : 179 ~ 199
M. Lentini / 1985 / The close relationships between methods for solving two-point boundary value problems / SIAM Journal on Numerical Analysis 22 (2) : 280 ~ 309
M. S. N. Murty / 2003 / On conditioning for three-point boundary value problems / Indian Journal of Mathematics 45 (2) : 211 ~ 221
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