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pcgnull.m

by Andrew Knyazev

 

14 Jan 2000

Code covered by BSD License  

Preconditioned Conjugate Gradients Method

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PCGNULL Preconditioned Conjugate Gradients Method

X = PCGNULL(A) attempts to solve the homogenious system of linear equations A*X=0 for X such that NORM(X)=1.

The coefficient matrix A must be Hermitian and positive semi-definite. If the null-space of A is more than one dimentional, i.e. A*X=0 allows multiple linear independent solutions, PCGNULL will still converge to one solution, namely, the orthoprojection of the initial guess to the null-space.

Tested under MATLAB versions 5.1-5.3.

MATLAB release MATLAB 5.3 (R11)
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linear algebra Andrew Knyazev 22 Oct 2008 06:31:01
preconditioned Andrew Knyazev 22 Oct 2008 06:31:01
conjugate Andrew Knyazev 22 Oct 2008 06:31:01
gradients Andrew Knyazev 22 Oct 2008 06:31:01
mathematics Andrew Knyazev 22 Oct 2008 06:31:01
 

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