gblpy.gblnum Namespace Reference

Classes
class	BorderedBandMatrix
	(Symmetric) Bordered Band Matrix. More...

Functions
def	decomposeBand ()
def	solveBand (aRightHandSide)
	Solve linear equation system for band part. More...
def	invertBand ()
	Invert band part. More...
def	bandOfAVAT (anArray, aSymArray)
	Calculate band part of A*V*A^T. More...

Variables
	nBorder = self.__numBorder
	nCol = self.__numCol
	aSolution = np.empty(nBorder + nCol)
	auxMat = np.empty((nBorder, nCol))
	auxMatT = auxMat.T
	auxVec = aRightHandSide[:nBorder] - np.dot(auxMat, aRightHandSide[nBorder:])
	invBorder = np.linalg.inv(self.__border - np.dot(self.__mixed, auxMatT))
	__border
	__mixed
	__band

Detailed Description

Algebra for linear equation system with bordered band matrix.  

Created on Jul 27, 2011

@author: kleinwrt

Function Documentation

bandOfAVAT()

def gblpy.gblnum.bandOfAVAT	(		anArray,
			aSymArray
	)

Calculate band part of A*V*A^T.

Parameters

anArray	matrix A; matrix(float)
aSymArray	symmetric matrix V; matrix(float)

Returns

band part; matrix(float)

Definition at line 245 of file gblnum.py.

decomposeBand()

def gblpy.gblnum.decomposeBand

(

)

from Dbandmatrix.F (MillePede-II by V. Blobel, Univ. Hamburg)

(root free) Cholesky decomposition of band part: C=LDL^T

Note

band part (C) is replaced by its decomposition (D,L)

Definition at line 188 of file gblnum.py.

invertBand()

def gblpy.gblnum.invertBand

(

)

Invert band part.

Returns

band part; matrix(float)

Definition at line 226 of file gblnum.py.

solveBand()

def gblpy.gblnum.solveBand

(

aRightHandSide

)

Solve linear equation system for band part.

Parameters

aRightHandSide

right hand side; aRightHandSide vector(float)

Returns

solution; vector(float)

Definition at line 208 of file gblnum.py.

Variable Documentation

__band

gblpy.gblnum.__band

private

Definition at line 280 of file gblnum.py.

__border

gblpy.gblnum.__border

private

Definition at line 278 of file gblnum.py.

__mixed

gblpy.gblnum.__mixed

private

Definition at line 279 of file gblnum.py.

aSolution

def gblpy.gblnum.aSolution = np.empty(nBorder + nCol)

Definition at line 258 of file gblnum.py.

auxMat

gblpy.gblnum.auxMat = np.empty((nBorder, nCol))

Definition at line 265 of file gblnum.py.

auxMatT

gblpy.gblnum.auxMatT = auxMat.T

Definition at line 269 of file gblnum.py.

auxVec

gblpy.gblnum.auxVec = aRightHandSide[:nBorder] - np.dot(auxMat, aRightHandSide[nBorder:])

Definition at line 271 of file gblnum.py.

invBorder

gblpy.gblnum.invBorder = np.linalg.inv(self.__border - np.dot(self.__mixed, auxMatT))

Definition at line 272 of file gblnum.py.

nBorder

gblpy.gblnum.nBorder = self.__numBorder

Definition at line 255 of file gblnum.py.

nCol

gblpy.gblnum.nCol = self.__numCol

Definition at line 257 of file gblnum.py.