scholarly journals Improved error bounds for linear systems with H-matrices

2015 ◽  
Vol 6 (3) ◽  
pp. 377-382 ◽  
Author(s):  
Atsushi Minamihata ◽  
Kouta Sekine ◽  
Takeshi Ogita ◽  
Siegfried M. Rump ◽  
Shin'ichi Oishi
Keyword(s):  
Linear Systems ◽  
Error Bounds

Modified error bounds for approximate solutions of dense linear systems

2020 ◽  
Vol 369 ◽  
pp. 112546
Author(s):  
Atsushi Minamihata ◽  
Takeshi Ogita ◽  
Siegfried M. Rump ◽  
Shin’ichi Oishi
Keyword(s):  
Linear Systems ◽  
Error Bounds ◽  
Approximate Solutions

scholarly journals On Decoupling the Equations of Motion of Nonclassically Damped Systems

1989 ◽  
Author(s):  
F. Ma ◽  
J. H. Hwang
Keyword(s):  
Approximate Solution ◽  
Linear Systems ◽  
Error Bounds ◽  
Equations Of Motion ◽  
Effective Procedure ◽  
Common Procedure ◽  
Damping Matrix ◽  
Alternative Techniques ◽  
Damped Systems

One common procedure in the solution of a damped linear systems with small off-diagonal damping elements is to neglect the off-diagonal elements of the normalized damping matrix. The extent of approximation introduced by this method of decoupling the system is evaluated, and tight error bounds are derived by alternative techniques. An effective procedure to improve the accuracy of the approximate solution is outlined.

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