Constant-coefficient differential-algebraic operators and the Kronecker form

被引：0

作者：

Puche, Marc ^{[1
]}

Reis, Timo ^{[1
]}

Schwenninger, Felix L. ^{[1
]}

机构：

[1] Univ Hamburg, Fachbereich Math, Bundesstr 55, D-20146 Hamburg, Germany

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2018年 / 552卷

关键词：

Differential-algebraic equation; Matrix pencil; Kronecker form; Differential operator;

D O I：

10.1016/j.laa.2018.04.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider constant-coefficient differential-algebraic equations from an operator theoretic point of view. We show that the Kronecker form allows to determine the nullspace and range of the corresponding differential-algebraic operators. This yields simple matrix-theoretic characterizations of features like closed range and Fredholmness. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：29 / 41

页数：13

共 50 条

[31] THE WAVE-FORM RELAXATION METHOD FOR SYSTEMS OF DIFFERENTIAL-ALGEBRAIC EQUATIONS
CROW, ML
ILIC, MD
[J]. MATHEMATICAL AND COMPUTER MODELLING, 1994, 19 (12) : 67 - 84
[32] Adjoint sensitivity analysis of flexible multibody systems in differential-algebraic form
Nejat, Ali Azari
Moghadasi, Ali
Held, Alexander
[J]. COMPUTERS & STRUCTURES, 2020, 228
[33] Estimation of Lyapunov exponents from multibody dynamics in differential-algebraic form
Masarati, Pierangelo
[J]. PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART K-JOURNAL OF MULTI-BODY DYNAMICS, 2013, 227 (K1) : 23 - 33
[34] A formula for the general solution of a constant-coefficient difference equation
Wolfram, DA
[J]. JOURNAL OF SYMBOLIC COMPUTATION, 2000, 29 (01) : 79 - 82
[35] Low-power constant-coefficient multiplier generator
Pai, CY
Al-Khalili, AJ
Lynch, WE
[J]. 14TH ANNUAL IEEE INTERNATIONAL ASIC/SOC CONFERENCE, PROCEEDINGS, 2001, : 185 - 189
[36] BASES OF SPLINES ASSOCIATED WITH CONSTANT COEFFICIENT DIFFERENTIAL OPERATORS
SCHMIDT, E
LANCASTER, P
WATKINS, D
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1975, 12 (04) : 630 - 645
[37] CONSTANT COEFFICIENT DIFFERENTIAL OPERATORS WITH SLOWLY SPREADING SOLUTIONS
NISHIWADA, K
[J]. MATHEMATISCHE ANNALEN, 1979, 245 (02) : 101 - 115
[38] ON EXISTENCE OF CONTINUOUS INVERSES OF CONSTANT COEFFICIENT DIFFERENTIAL OPERATORS
SCHUBERT, CF
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1970, 7 (01) : 1 - &
[39] The Lagrange differential-algebraic equations
Burov, A. A.
Kosenko, I. I.
[J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2014, 78 (06): : 587 - 598
[40] Regularization of differential-algebraic equations
V. F. Chistyakov
[J]. Computational Mathematics and Mathematical Physics, 2011, 51 : 2052 - 2064

← 1 2 3 4 5 →