NX Nastran DMAP Programmer's Guide - Kxcad.net

DCMP Matrix decomposition with extended diagnostics
DCMP
Matrix decomposition with extended diagnostics
Decompose a square matrix [A] into upper and lower triangular factors [U] and [L]
and diagonal matrix [D]. DCMP is identical to DECOMP, but also provides extended
diagnostics.
[ A]
= [ L]
[ U]
for unsymmetric [ A]
[ A]
[ L]
[ D]
[ L]
T =
for symmetric [ A]
Format:
DCMP USET,SIL,EQEXIN,A,PARTVEC,EQMAP/
LD,U,LSEQ/
S,N,KSYM/CHOLSKY/BAILOUT/MAXRATIO/SETNAME/F1/DECOMP/
DEBUG/THRESH/S,N,MINDIAG/S,N,DET/S,N,POWER/S,N,SING/
S,N,NBRCHG/S,N,ERR/LMTROWS $
Input Data Blocks:
USET Degree-of-freedom set membership table.
SIL Scalar index list.
EQEXIN Equivalence between external and internal numbers.
A A square matrix (real or complex, symmetric or unsymmetric).
PARTVEC Partitioning vector specified when A is a partition of SETNAME. Its
rowsize is indicated by SETNAME. A is the zero-th partition from
PARTVEC.
EQMAP Table of degree-of-freedom global-to-local maps for domain
decomposition.
Output Data Blocks:
LD Nonstandard lower triangular factor [L] and diagonal matrix [D] or
Cholesky Factor. [LD] also contains [D] for symmetric decomposition.
U Upper triangular factor or high ratios matrix. If A is unsymmetric then
U is the nonstandard upper triangular factor of [A] or the Cholesky
factor. If A is symmetric and the value of system cell 166 includes the
value of 8 then U contains the contains the "high ratio terms of the
factor diagonal ratios". See Remark 4.
LSEQ Resequencing matrix based on internal resequencing of A.
873