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 ?
Since the difference between two K-sparse vectors is at most 2K-sparse, then a K-sparse vector x is uniquely defined if null space of A contains no 2K-sparse vectors.
To ensure the existence of d dimensions null space of [[bar.
The difference of any two vectors in the affine space clearly lies in the null space of A.
Column five shows the number of basis vectors in the null space of the CA's state matrix for an energy window of the indicated size.
The optimal class subspace is defined as the intersection of the null space of class scatter and the range space of total scatter (18).
For an operator, A [member of] L(K, H), we denote by R(A) the range or image of A; N(A), the null space of A; [A.
To obtain matrix [W], we need to obtain the null space of matrix [B], which can be done with the help of standard subroutines or functions provided by well known packages, such as MATLAB or Mathematica.
E], the infeasibility rate of RBoA decreases from 74% to 40%, while the infeasibility rate of null space based scheme is unchanged with the varying [[gamma].
Assume now that a basis for the null space of H is given by the vectors
This paper presents a new combinatorial approach towards constructing a sparse, implicit basis for the null space of a sparse, under-determined matrix A.
In this paper we consider an approach based on the computation of a null space basis of some off-diagonal block in the system matrix (1.
We use the null space algorithm approach to solve the augmented systems produced by the mixed finite-element approximation of Darcy's laws.