scholarly journals Identities for vector fields in the infinitesimal representation of the symplectic group into the Siegel disk of complex symmetric matrices

2012 ◽  
Vol 136 (7) ◽  
pp. 763-802 ◽  
Author(s):  
Helene Airault
Keyword(s):  
Symplectic Group ◽  
Vector Fields ◽  
Symmetric Matrices ◽  
Siegel Disk ◽  
Complex Symmetric ◽  
Complex Symmetric Matrices

Unitarization of complex symmetric matrices

1994 ◽  
Vol 27 (8) ◽  
pp. 2923-2933 ◽  
Author(s):  
G J N Brown ◽  
D S F Crothers
Keyword(s):  
Symmetric Matrices ◽  
Complex Symmetric ◽  
Complex Symmetric Matrices

Solution of generalized shifted linear systems with complex symmetric matrices

2012 ◽  
Vol 231 (17) ◽  
pp. 5669-5684 ◽  
Author(s):  
Tomohiro Sogabe ◽  
Takeo Hoshi ◽  
Shao-Liang Zhang ◽  
Takeo Fujiwara
Keyword(s):  
Linear Systems ◽  
Symmetric Matrices ◽  
Shifted Linear Systems ◽  
Complex Symmetric ◽  
Complex Symmetric Matrices

An Extension of the COCR Method to Solving Shifted Linear Systems with Complex Symmetric Matrices

2011 ◽  
Vol 1 (2) ◽  
pp. 97-107 ◽  
Author(s):  
Tomohiro Sogabe ◽  
Shao-Liang Zhang
Keyword(s):  
Linear Systems ◽  
Large Scale ◽  
Electronic Structure Calculations ◽  
Symmetric Matrices ◽  
Complex Symmetric Linear Systems ◽  
Shifted Linear Systems ◽  
Complex Symmetric ◽  
Complex Symmetric Matrices ◽  
Structure Calculations ◽  
Conjugate Residual

AbstractThe Conjugate Orthogonal Conjugate Residual (COCR) method [T. Sogabe and S.-L. Zhang, JCAM, 199 (2007), pp. 297-303.] has recently been proposed for solving complex symmetric linear systems. In the present paper, we develop a variant of the COCR method that allows the efficient solution of complex symmetric shifted linear systems. Some numerical examples arising from large-scale electronic structure calculations are presented to illustrate the performance of the variant.

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