pyfaust.proj.normcol Class Reference

Functor for the NORMCOL projector. More...

Public Member Functions
def	__init__ (self, shape, s=1)
Public Member Functions inherited from pyfaust.proj.proj_gen
def	__init__ (self, shape)
def	__call__ (self, M)

Public Attributes
	constraint
Public Attributes inherited from pyfaust.proj.proj_gen
	shape

Detailed Description

Functor for the NORMCOL projector.

A, the image matrix, is defined by \(\forall j \in \{0,...,shape[1]-1\}\) the j-th column \(A_{*,j}\) is such that \(\| A_{*,j}\|_2 = s\).

Examples

>>> from pyfaust.proj import normcol
>>> from numpy.random import rand, seed
>>> from numpy.linalg import norm
>>> import numpy as np
>>> seed(42) # just for reproducibility
>>> M = np.round(rand(5,5), decimals=2)
>>> M
array([[0.37, 0.95, 0.73, 0.6 , 0.16],
[0.16, 0.06, 0.87, 0.6 , 0.71],
[0.02, 0.97, 0.83, 0.21, 0.18],
[0.18, 0.3 , 0.52, 0.43, 0.29],
[0.61, 0.14, 0.29, 0.37, 0.46]])
>>> p = normcol(M.shape, .01)
>>> norm(p(M)[:,0], 2)
0.009999999999999998

Constructor & Destructor Documentation

__init__()

def pyfaust.proj.normcol.__init__	(		self,
			shape,
			s = 1
	)

Parameters

shape	(tuple(int,int)) the input matrix shape.
s	(float) the column 2-norm (default to 1).

Member Data Documentation

constraint

pyfaust.proj.normcol.constraint

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The documentation for this class was generated from the following file:

• proj.py