null space

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null space

[′nəl ′spās]
(mathematics)
For a linear transformation, the vector subspace of all vectors which the transformation sends to the zero vector. Also known as kernel.
References in periodicals archive ?
To this end, P must be chosen as an oblique projection with the property that when its nullspace Z is A-invariant, so is its range [[?
T] AZ) of the preconditioned nullspace method has the same set of eigenvalues as the error propagation matrix M (2.
LE BORNE, Preconditioned nullspace method for the two-dimensional Oseen problem, SIAM J.
VAVASIS, Nested dissection for sparse nullspace bases, SIAM J.
The use of the SVD for a nullspace computation is not considered in [15], since the authors use a different approach involving the solution of eigenvalue problems, usually of large size.
T] must belong to the nullspace of the Sylvester matrix.
But we also obtain a very important additional advantage from the computation of the SVD of a matrix A of size m x n (including V, not only [summation]): the last n - r columns of of V form a basis of the nullspace of A (see [21] and [5]).
It is illustrative to observe that although nothing is said in the description of the command nullspace of Maple, if the user asks for more information from the system (for example by writing the instruction infoleve1 [nullspace] : = 5), then the system admits Gaussian elimination is not being used, by showing the following message: