[HTML][HTML] Properties of blocked linear systems

W Chen, BDO Anderson, M Deistler, A Filler - Automatica, 2012 - Elsevier
blocked systems established in this paper guarantees that blocking a linear time-invariant
system … to show that the blocked system of a linear time-invariant system with missing data is …

On the zeros of blocked linear systems with single and mixed frequency data

M Zamani, W Chen, BDO Anderson… - 2011 50th IEEE …, 2011 - ieeexplore.ieee.org
… studies properties of blocked systems resulting from blocking discrete linear systems with …
to focus on the zero properties of the blocked systems of linear systems with mixed frequency …

On block elimination for sparse linear systems

A George - SIAM Journal on Numerical Analysis, 1974 - SIAM
… In 5, as mentioned above, we introduce a propagation property (property ) and study its
implications. Section 6 contains a discussion of what appear to be inherent differences in …

On solving block-structured indefinite linear systems

GH Golub, C Greif - SIAM Journal on Scientific Computing, 2003 - SIAM
… The name “augmented Lagrangian” has been used also to describe the underlying linear
system (see, for example, [22]). Certain numerical properties of linear systems of the form (2.1) …

[HTML][HTML] Convergence properties of some block Krylov subspace methods for multiple linear systems

R Bouyouli, K Jbilou, R Sadaka, H Sadok - Journal of computational and …, 2006 - Elsevier
… In Section 2, we review some properties of the Schur complement and of the Kronecker
product. We also introduce a new matrix product and give some of its properties. In Section 3, we …

On the structure and use of linearized block implicit schemes

WR Briley, H McDonald - Journal of Computational Physics, 1980 - Elsevier
BLOCK IYPLICIT … consistently split block implicit schemes for linear systems of equations.
The resu!t … The scheme (8b) for PDE’s has generally the same desirable properties mentioned …

Block-diagonal and constraint preconditioners for nonsymmetric indefinite linear systems. Part I: Theory

E de Sturler, J Liesen - SIAM Journal on Scientific Computing, 2005 - SIAM
block-diagonal preconditioners and an efficient variant of constraint preconditioners for general
two-by-two block linear systems with zero (2,2)-block. … We analyze the properties of both …

[PDF][PDF] On the zeros of tall, fat and square blocked time-invariant systems

M Zamani, BDO Anderson, W Chen… - … and Systems, 2012 - users.cecs.anu.edu.au
… zero properties of the blocked systems resulting from blocking of linear time-invariant systems.
… As mentioned above, the blocking of linear time-invariant systems is useful in the multirate …

On the zeros of blocked time-invariant systems

M Zamani, BDO Anderson, U Helmke, W Chen - Systems & Control Letters, 2013 - Elsevier
… zero properties of blocked linear systems resulting from blocking of linear time-invariant systems.
properties of blocked systems and the zero properties of their corresponding unblocked …

Analysis and optimal control of time-varying linear systems via block-pulse functions

NS Hsu, B Cheng - International Journal of Control, 1981 - Taylor & Francis
… Succinct and clear-sighted operational properties of block-pulse functions are fully applied
to the analysis and optimal control of time-varying linear systems with quadratic performance …