gblpy3.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 gblpy3.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 236 of file gblnum.py.

decomposeBand()

def gblpy3.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 179 of file gblnum.py.

invertBand()

def gblpy3.gblnum.invertBand

(

)

Invert band part.

Returns

band part; matrix(float)

Definition at line 217 of file gblnum.py.

solveBand()

def gblpy3.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 199 of file gblnum.py.

Variable Documentation

__band

gblpy3.gblnum.__band

private

Definition at line 271 of file gblnum.py.

__border

gblpy3.gblnum.__border

private

Definition at line 269 of file gblnum.py.

__mixed

gblpy3.gblnum.__mixed

private

Definition at line 270 of file gblnum.py.

aSolution

def gblpy3.gblnum.aSolution = np.empty(nBorder + nCol)

Definition at line 249 of file gblnum.py.

auxMat

gblpy3.gblnum.auxMat = np.empty((nBorder, nCol))

Definition at line 256 of file gblnum.py.

auxMatT

gblpy3.gblnum.auxMatT = auxMat.T

Definition at line 260 of file gblnum.py.

auxVec

gblpy3.gblnum.auxVec = aRightHandSide[:nBorder] - np.dot(auxMat, aRightHandSide[nBorder:])

Definition at line 262 of file gblnum.py.

invBorder

gblpy3.gblnum.invBorder = np.linalg.inv(self.__border - np.dot(self.__mixed, auxMatT))

Definition at line 263 of file gblnum.py.

nBorder

gblpy3.gblnum.nBorder = self.__numBorder

Definition at line 246 of file gblnum.py.

nCol

gblpy3.gblnum.nCol = self.__numCol

Definition at line 248 of file gblnum.py.