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» Imaginaries in Hilbert spaces
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MCSS
2008
Springer
13 years 7 months ago
Weakly coprime factorization and state-feedback stabilization of discrete-time systems
Abstract: The LQ-optimal state feedback of a finite-dimensional linear time-invariant system determines a coprime factorization NM-1 of the transfer function. We show that the same...
Kalle M. Mikkola
MOC
2000
103views more  MOC 2000»
13 years 7 months ago
An additive Schwarz method for variational inequalities
This paper proposes an additive Schwarz method for variational inequalities and their approximations by finite element methods. The Schwarz domain decomposition method is proved to...
Lori Badea, Junping Wang
MOC
2000
79views more  MOC 2000»
13 years 7 months ago
Computational scales of Sobolev norms with application to preconditioning
Abstract. This paper provides a framework for developing computationally efficient multilevel preconditioners and representations for Sobolev norms. Specifically, given a Hilbert s...
James H. Bramble, Joseph E. Pasciak, Panayot Vassi...
SIAMCO
2000
99views more  SIAMCO 2000»
13 years 7 months ago
Spectral Analysis of Fokker--Planck and Related Operators Arising From Linear Stochastic Differential Equations
We study spectral properties of certain families of linear second-order differential operators arising from linear stochastic differential equations. We construct a basis in the Hi...
Daniel Liberzon, Roger W. Brockett
OL
2007
87views more  OL 2007»
13 years 7 months ago
Proximality and Chebyshev sets
This paper is a companion to a lecture given at the Prague Spring School in Analysis in April 2006. It highlights four distinct variational methods of proving that a finite dimens...
Jonathan M. Borwein