Title :
The parameterization of Lagrangian subspaces of symplectic matrix pencils
Author_Institution :
Dept. of Electron. & Comput. Sci., Univ. of Padova, Padua, Italy
Abstract :
Geometric methods for the solution of matrix equations are recognized to be important in establishing effective numerical algorithms. In this paper general symplectic matrix pencils are considered disregarding the particular matrix equations from which they arise. The problem of parameterization of the set of deflating Lagrangian subspaces of the pencil is solved.
Keywords :
linear systems; matrix algebra; deflating Lagrangian subspace parameterization; geometric methods; matrix equations; numerical algorithms; symplectic matrix pencils; Computer science; Eigenvalues and eigenfunctions; Europe; Linear algebra; Riccati equations; Symmetric matrices; Linear Systems; Matrix Equations; Singular Systems; Subspaces Methods Control and Optimization;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
