Description of slnullspace

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slnullspace

PURPOSE

SLRANGESPACE Determines the null-space of the range of X

SYNOPSIS

function [V, Vc] = slnullspace(tar, varargin)

DESCRIPTION

SLRANGESPACE Determines the null-space of the range of X

 $ Syntax $
   - V = slnullspace(tar)
   - V = slnullspace(tar, ...)
   - [V, Vc] = slnullspace(...)

 $ Arguments $
   - tar:      the target, can be a sample matrix or covariance
   - V:        the basis for the null space
   - Vc:       the basis for the orthogonal complement of the null space.

 $ Description $
   - V = slnullspace(tar) determines the null space of tar in default 
     settings. Note that tar can have two forms: a sample matrix or a 
     covariance given by the syntax {'cov', C}.

   - V = slrangespace(tar, ...) determines the range space of X using
     the specified dimension determination schemes. The arguments 
     input following X will be delivered to sldim_by_eigval for dimension
     determination of principal space (the orthogonal complement to V)

   - [V, Vc] = slrangespace(...) also returns orthogonal complement of V.

 $ History $
   - Created by Dahua Lin on Apr 25, 2005

CROSS-REFERENCE INFORMATION

This function calls:

• slrangespace SLRANGESPACE Determines the subspace of the range of X

This function is called by:

• slnlda SLNLDA Performs Nullspace-based Linear Discriminant Analysis

SOURCE CODE

0001 function [V, Vc] = slnullspace(tar, varargin)
0002 %SLRANGESPACE Determines the null-space of the range of X
0003 %
0004 % $ Syntax $
0005 %   - V = slnullspace(tar)
0006 %   - V = slnullspace(tar, ...)
0007 %   - [V, Vc] = slnullspace(...)
0008 %
0009 % $ Arguments $
0010 %   - tar:      the target, can be a sample matrix or covariance
0011 %   - V:        the basis for the null space
0012 %   - Vc:       the basis for the orthogonal complement of the null space.
0013 %
0014 % $ Description $
0015 %   - V = slnullspace(tar) determines the null space of tar in default
0016 %     settings. Note that tar can have two forms: a sample matrix or a
0017 %     covariance given by the syntax {'cov', C}.
0018 %
0019 %   - V = slrangespace(tar, ...) determines the range space of X using
0020 %     the specified dimension determination schemes. The arguments
0021 %     input following X will be delivered to sldim_by_eigval for dimension
0022 %     determination of principal space (the orthogonal complement to V)
0023 %
0024 %   - [V, Vc] = slrangespace(...) also returns orthogonal complement of V.
0025 %
0026 % $ History $
0027 %   - Created by Dahua Lin on Apr 25, 2005
0028 %
0029 
0030 [Vc, V] = slrangespace(tar, varargin{:});

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