DocumentCode :
3227763
Title :
A Note on the Eigenvalues of Saddle Point Matrices
Author :
Li, Zheng ; Zhang, Tie ; Li, Changjun
Author_Institution :
Dept. of Math., Northeastern Univ., Shenyang
Volume :
2
fYear :
2008
fDate :
20-22 Oct. 2008
Firstpage :
949
Lastpage :
952
Abstract :
The spectral properties of saddle point matrices arising from saddle point problems are discussed. The relations of the eigenvalues and the determinants between the saddle point matrices and their sub blocks are investigated. An appropriate estimate on the maximum eigenvalue of saddle point matrix is given. In the numerical experiment the saddle point matrices derived from the mixed finite element discretizations on Stokes equation are observed. Numerical results confirm the theoretical analysis and demonstrate that the estimate on the maximum eigenvalue of saddle point matrix is proper.
Keywords :
eigenvalues and eigenfunctions; finite element analysis; matrix algebra; Stokes equation; eigenvalues; finite element discretizations; saddle point matrices; Automation; Constraint optimization; Eigenvalues and eigenfunctions; Equations; Finite element methods; Fluid dynamics; Large-scale systems; Least squares methods; Mathematics; Symmetric matrices;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Intelligent Computation Technology and Automation (ICICTA), 2008 International Conference on
Conference_Location :
Hunan
Print_ISBN :
978-0-7695-3357-5
Type :
conf
DOI :
10.1109/ICICTA.2008.33
Filename :
4659902
Link To Document :
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