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August 15th, 2011, 05:16 AM   #1
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stability improvement of equation system

I read The following articles :

"ELASTODYNAMIC DIRECT BOUNDARY ELEMENT METHODS WITH ENHANCED NUMERICAL
STABILITY PROPERTIES"
,(Int. J. Numer. Meth. Engng. 46, 871-888 (1999))

in this paper it is mentioned this statement:

"An increase in the magnitude of the diagonal term implies an
improvement in the conditioning number of the matrix, which implies
improved stability of the system"

I search a lot but i did not find any reference which give me
information about mentioned statement.
please introduce me a reference which give me information about above
statement that increasing in the magnitude of the diagonal term leads
to improvement in condition number.

It would be very nice from you if you kindly help me.
I am looking for your reply.
a_kamali is offline  
 
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