dev-cpp-users

FW: [Dev-C++] iterative matrix library

[Mark S. <mar...@li...>]

Daniel,
They are used for solving huge simultaneous linear equations of the form
A.x=b where A is a large NxN matrix of known values, b is a vector of N
results and x is a vector of N unknowns.
These equations can be solved by direct & indirect (iterative) methods,
direct methods are OK for matrices up to say 5000x5000 (25 million elements)
but limited memory becomes a problem with storing intermediate calculations.
Iterative methods on the other hand make a guess of x and use the result of
calculating Ax-b to form a better guess for x, depending on the method &
what type of matrix A is determines how quickly ( how many iterations are
required) the solution converges to the correct value depending on the
accuracy required.
Typical applications are finite element analysis & boundary element method
applications in structural engineering, fluid flow, electrostatics etc.
Hope this helps.
Regards
mark

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Re: FW: [Dev-C++] iterative matrix library

[Ioannis V. <no...@ho...>]

Well, i do not know if there is anything like that for C but i know that
there are these kind of stuff for C++... You have to do it only in C?=0D
=0D
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=0D
Ioannis Vranos=0D
=0D
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-------Original Message-------=0D
 =0D
From: Mark Smith=0D
Date: Tuesday, 14 January 2003 2:11:57 PM=0D
To: 'dev...@li...'=0D
Subject: FW: [Dev-C++] iterative matrix library=0D
 =0D
Daniel,=0D
They are used for solving huge simultaneous linear equations of the form=0D
A.x=3Db where A is a large NxN matrix of known values, b is a vector of N=
=0D
results and x is a vector of N unknowns.=0D
These equations can be solved by direct & indirect (iterative) methods,=0D
direct methods are OK for matrices up to say 5000x5000 (25 million elemen=
ts)=0D
but limited memory becomes a problem with storing intermediate calculatio=
ns.=0D
Iterative methods on the other hand make a guess of x and use the result =
of=0D
calculating Ax-b to form a better guess for x, depending on the method &=0D
what type of matrix A is determines how quickly ( how many iterations are=
=0D
required) the solution converges to the correct value depending on the=0D
accuracy required.=0D
Typical applications are finite element analysis & boundary element metho=
d=0D
applications in structural engineering, fluid flow, electrostatics etc.=0D
Hope this helps.=0D
Regards=0D
mark=0D
=0D
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