SolveH(M) = Solve for vectors U != 0 where matrix M * U = 0


SolveH(M) = Solve for vectors U != 0 where matrix M * U = 0:

Solves the homogeneous equation M * U = 0 for all non trivial solutions by returning a list of column vectors forming a vector space basis for the null space of M. If no solutions exist, the scalar zero is returned. This uses the Singular Value Decomposition SVD of M. This function is also called the kernel of M. The vector U is a solution iff it is a linear combinations of the returned column vectors.

See: FINDING A BASIS FOR THE KERNEL OR IMAGE -- From Mel Hochster, University of Michigan

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This page accessed times since September 18, 2006.
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Changes last made on Monday, 06-Aug-07 20:22:57 PDT

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