Best method for Solving System of Linear equations

Best method for Solving System of Linear equations - Messaggi

#1 Pubblicato: 06/10/2012 20:39:51
farlanw

farlanw

0 apprezzamenti in 9 post.

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Hi,

What is the best way to solve a system of positive-definite linear equationsusing smath( as used in structural analysis of space frames)?

Elsewhere I have used software that makes use of public domain solver libraries for this. Can these be adapted for use in Smath?

Thanks

farlanw
#2 Pubblicato: 06/10/2012 21:32:38
kilele

kilele

134 apprezzamenti in 397 post.

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Iterative methods are faster than direct for large systems,
for positive definite linear matrices I've read here that PCG ( "preconditioned conjugate gradient method" ) is quite efficient in general.
Wikipedia
Algorithm pseudocode
#3 Pubblicato: 07/10/2012 09:11:27
Davide Carpi

Davide Carpi

1.443 apprezzamenti in 2.936 post.

Gruppo: Moderator

Wrote

Iterative methods are faster than direct for large systems,
for positive definite linear matrices I've read here that PCG ( "preconditioned conjugate gradient method" ) is quite efficient in general.
Wikipedia
Algorithm pseudocode



The sm code for linear systems.


regards,

w3b5urf3r
ConjugateGradient.sm (7,62 KiB) scaricato 1613 volta(e).
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