J. Rojo
Numerical Linear Algebra (Direct
Methods)
MathSource in 0206-569
from mathsource@wri.com or
from
http://www.mathsource.com/Content22/Enhancements/LinearAlgebra/0206-569,
1994
Abstract:
We are at present developing Packages
which, once loaded, allow the development of a great part of the normal
numerical routines. It is possible that some Packages may need others and
this is the case with the Package we present, NUMERIAL, which carries out
the most usual routines corresponding to
the Direct Methods for solving linear
systems. It requires the use of the NUMERICO Package that accompanies it.
Let us first of all present these routines by forming an important Package
for educational tasks. NUMERICO allows to use:
CORounding[a,prec],
which rounds off numbers in the
usual way and
CONorm1[X,n,prec],
CONorm2[X,n,prec],
CONormi[X,n,prec],
that calculate the most usual vector
norms. NUMERIAL allows us to use:
ALFactor[A,b,n,prec,lu,pi,pp],
ALCholeski[A,b,n,prec,pp],
ALFactorwithRefinement[A,b,n,prec,lu,pi,no,tol,pp,pr],
ALCholeskiwithRefinement[A,b,n,prec,no,tol,pp,pr],
ALFactorwithnRefinements[A,b,n,prec,lu,pi,nref,pp,pr],
ALCholeskiwithnRefinements[A,b,n,prec,nref,pp,pr],
that is, LU and Choleski decomposition
with possible iterative improvement. The initials CO and AL allow us to
group the modules by Packages.
AMS(MOS) subject classification:
15-04
Files NumDocum.txt, Numerial.m,
Numerico.m and NumSampl.ma Compressed as numeri.zip