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how to efficiently solve a relatively large scale linear equation system?
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zhaohf_2000@yahoo.com
science forum beginner


Joined: 06 Jul 2006
Posts: 5

PostPosted: Thu Jul 06, 2006 6:02 pm    Post subject: how to efficiently solve a relatively large scale linear equation system? Reply with quote

Hello, guys,
I am doing a project relating to solve relatively large scalce linear
equation system, here is my equations:

(A + T' *B * T) * X = (c + T' *d)


Unknowns: X (N*1 vector, N is between 100 and 1000)
Knowns:
A-----N*N symmetric narrow band matrix with band width= 5 (actually it
comes from assembling stiffness matrix of scale 6*6)
B-----N*N symmetric narrow band matrix with band width= 2
T------N*N lower triangular matrix with first 3 elements in diagnol are

zeros. (this means this
is a singular matrix)
T'------transpose of T
c-------N*1 vector
d-------N*1 vector


I need to solve this equation system in C++ efficiently and the speed
for solving the equation is CRITICAL for me.


Anybody has any idea?


Thanks in advance!


Helen
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